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Evokation
 
 
Index
 

 

 

 

 

26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
9
-
-
-
-
5
6
-
-
-
1
-
-
-
-
6
-
8
+
=
43
4+3
=
7
=
7
=
7
-
-
-
-
-
-
-
-
8
9
-
-
-
-
14
15
-
-
-
19
-
-
-
-
24
-
26
+
=
115
1+1+5
=
7
=
7
=
7
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
-
-
1
2
3
4
-
-
7
8
9
-
2
3
4
5
-
7
-
+
=
83
8+3
=
11
1+1
2
=
2
-
1
2
3
4
5
6
7
-
-
10
11
12
13
-
-
16
17
18
-
20
21
22
23
-
25
-
+
=
236
2+3+6
=
11
1+1
2
=
2
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
+
=
351
3+5+1
=
9
=
9
=
9
-
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
+
=
126
1+2+6
=
9
=
9
=
9
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
+
=
1
occurs
x
3
=
3
=
3
-
-
2
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
+
=
2
occurs
x
3
=
6
=
6
-
-
-
3
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
3
-
-
-
-
-
+
=
3
occurs
x
3
=
9
=
9
-
-
-
-
4
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
4
-
-
-
-
+
=
4
occurs
x
3
=
12
1+2
3
-
-
-
-
-
5
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
5
-
-
-
+
=
5
occurs
x
3
=
15
1+5
6
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
6
-
-
+
=
6
occurs
x
3
=
18
1+8
9
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
7
-
+
=
7
occurs
x
3
=
21
2+1
3
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
8
+
=
8
occurs
x
3
=
24
2+4
6
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
+
=
9
occurs
x
2
=
18
1+8
9
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
45
-
-
26
-
126
-
54
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
4+5
-
-
2+6
-
1+2+6
-
5+4
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
9
-
-
8
-
9
-
9
-
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
-
-
-
-
-
-
-
-
-
-
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
9
-
-
8
-
9
-
9

 

 

1
-
O
=
6
-
3
ONE
34
16
7
2
-
T
=
2
-
3
TWO
56
29
2
3
-
T
=
2
-
5
THREE
52
16
7
4
-
F
=
6
-
4
FOUR
60
24
6
5
-
F
=
6
-
4
FIVE
65
20
2
6
-
S
=
1
-
3
SIX
42
24
6
7
-
S
=
1
-
5
SEVEN
58
13
4
8
-
E
=
5
-
5
EIGHT
49
31
4
9
-
N
=
5
-
4
NINE
42
24
6
45
-
-
-
34
-
36
Add
458
197
44
4+5
-
-
-
3+4
-
3+6
Reduce
4+5+8
1+9+7
4+4
9
-
-
-
7
4
9
Deduce
17
17
8
-
-
-
-
-
-
-
Produce
1+7
1+7
-
9
-
-
-
7
-
9
Essence
8
8
8

 

 

0
-
Z
=
8
-
4
ZERO
64
28
1
1
-
O
=
6
-
3
ONE
34
16
7
2
-
T
=
2
-
3
TWO
56
29
2
3
-
T
=
2
-
5
THREE
52
16
7
4
-
F
=
6
-
4
FOUR
60
24
6
5
-
F
=
6
-
4
FIVE
65
20
2
6
-
S
=
1
-
3
SIX
42
24
6
7
-
S
=
1
-
5
SEVEN
58
13
4
8
-
E
=
5
-
5
EIGHT
49
31
4
9
-
N
=
5
-
4
NINE
42
24
6
45
-
-
-
42
-
40
Add
522
225
45
4+5
-
-
-
4+2
-
4+0
Reduce
5+2+2
2+2+5
4+5
9
-
-
-
6
-
4
Deduce
9
9
9

 

ADVENT 411 ADVENT

 

 

C
=
3
-
8
CREATORS
99
36
9
R
=
9
-
8
REACTORS
99
36
9
-
-
12
-
16
First Total
198
72
18
-
-
1+2
-
1+6
Add to Reduce
1+9+8
7+2
1+8
-
-
3
-
7
Second Total
18
9
9
-
-
-
-
-
Reduce to Deduce
1+8
-
-
-
-
3
-
7
Essence of Number
9
9
9

 

 

FU HSI, FU HSI
TABLE, I CHING
TABLE, I CHING, I CHANGING, I, C, HA, NG, I, NG
TABLE, DREAM, READ, ME, DREAM
TABLE, THE, DREAM OF MIND
TABLE, DREAMER, READ, ME, R
TABLE, READ, B, BREAD
TABLE, HEXAGRAM
TABLE, I CHING,Y-CHING, Y-KING, Y-CHANGING, I-KING
TABLE, YIN YANG
TABLE, YIN, FEMININE, FEM, I, NINE, FEMININE, YANG, MASCULINE,
MASC, UL, I, NE, MASCULINE, MASCULINE, FEMININE
TABLE, YIN, FEMININE
TABLE, YANG, MASCULINE
TABLE, YIN, FEMALE
TABLE, YANG, MALE
TABLE, YIN, YANG
TABLE, I, CHING
TABLE, MALE, FEMALE
TABLE, HE, SHE
TABLE, ONE, ZERO
TABLE, ONE, AND, ZERO, ZERO, AND, ONE
TABLE, NOTHING, NOTHINGNESS
TABLE, NOTHINGNESS
TABLE, WORDS, AND, NUMBERS
TABLE, SELF, S, ELF
TABLE, SELF, S, E, LF
TABLE, READING, WRITING
TABLE, THE, DREAMING, MIND
TABLE, THE DREAMING MIND

 

 

 

 

5
FU HSI
-
-
-
-
FU
27
9
9
-
HSI
36
18
9
5
FU HSI
-
-
-

 

 

5
FU-HSI
63
36
9

 

 

-
12
F
U
-
H
S
I
-
-
-
-
-
--
-
-
-
-
-
-
-
8
1
9
+
=
18
1+8
=
9
=
9
-
-
-
-
-
8
19
9
+
=
36
3+6
=
9
=
9
-
12
F
U
-
H
S
I
-
-
-
-
-
--
-
-
-
-
6
3
-
-
-
-
+
=
9
-
=
9
-
9
-
-`
6
21
-
-
-
-
+
=
27
2+7
=
9
-
9
-
12
F
U
-
H
S
I
-
-
-
-
-
--
-
-
-
-
6
21
-
8
19
9
+
=
63
6+3
=
9
=
9
-
-
6
3
-
8
1
9
+
=
27
2+7
=
9
=
9
-
12
F
U
-
H
S
I
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
occurs
x
1
=
1
2
-
-
-
-
-
-
-
-
-
2
TWO
2
-
-
-
-
-
-
3
-
-
-
-
-
-
3
occurs
x
1
=
3
4
-
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
5
-
-
-
-
-
-
-
-
-
5
FIVE
5
-
-
-
-
-
6
-
-
-
-
-
-
-
6
occurs
x
1
=
6
7
-
-
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
-
-
-
-
-
8
-
-
-
-
8
occurs
x
1
=
8
-
-
-
-
-
-
-
9
-
-
9
occurs
x
1
=
9
18
12
F
U
-
H
S
I
-
-
27
-
-
5
-
27
1+8
1+2
-
-
-
-
-
9
-
-
2+7
-
-
-
-
2+7
9
3
F
U
-
H
S
I
-
-
9
-
-
5
-
9
-
-
6
3
-
8
1
9
-
-
-
-
-
-
-
-
9
3
F
U
-
H
S
I
-
-
5
-
-
5
-
5

 

 

12
F
U
-
H
S
I
-
-
-
-
-
--
-
-
-
-
-
-
8
1
9
+
=
18
1+8
=
9
=
9
-
-
-
-
8
19
9
+
=
36
3+6
=
9
=
9
12
F
U
-
H
S
I
-
-
-
-
-
--
-
-
-
6
3
-
-
-
-
+
=
9
-
=
9
-
9
-`
6
21
-
-
-
-
+
=
27
2+7
=
9
-
9
12
F
U
-
H
S
I
-
-
-
-
-
--
-
-
-
6
21
-
8
19
9
+
=
63
6+3
=
9
=
9
-
6
3
-
8
1
9
+
=
27
2+7
=
9
=
9
12
F
U
-
H
S
I
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
occurs
x
1
=
1
-
-
3
-
-
-
-
-
-
3
occurs
x
1
=
3
-
6
-
-
-
-
-
-
-
6
occurs
x
1
=
6
-
-
-
-
8
-
-
-
-
8
occurs
x
1
=
8
-
-
-
-
-
-
9
-
-
9
occurs
x
1
=
9
12
F
U
-
H
S
I
-
-
27
-
-
5
-
27
1+2
-
-
-
-
-
9
-
-
2+7
-
-
-
-
2+7
3
F
U
-
H
S
I
-
-
9
-
-
5
-
9
-
6
3
-
8
1
9
-
-
-
-
-
-
-
-
3
F
U
-
H
S
I
-
-
5
-
-
5
-
5

 

 

12
F
U
H
S
I
-
-
-
-
-
--
-
-
-
-
-
8
1
9
+
=
18
1+8
=
9
=
9
-
-
-
8
19
9
+
=
36
3+6
=
9
=
9
12
F
U
H
S
I
-
-
-
-
-
--
-
-
-
6
3
-
-
-
+
=
9
-
=
9
-
9
-`
6
21
-
-
-
+
=
27
2+7
=
9
-
9
12
F
U
H
S
I
-
-
-
-
-
--
-
-
-
6
21
8
19
9
+
=
63
6+3
=
9
=
9
-
6
3
8
1
9
+
=
27
2+7
=
9
=
9
12
F
U
H
S
I
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
occurs
x
1
=
1
-
-
3
-
-
-
-
-
3
occurs
x
1
=
3
-
6
-
-
-
-
-
-
6
occurs
x
1
=
6
-
-
-
8
-
-
-
-
8
occurs
x
1
=
8
-
-
-
-
-
9
-
-
9
occurs
x
1
=
9
12
F
U
H
S
I
-
-
27
-
-
5
-
27
1+2
-
-
-
-
9
-
-
2+7
-
-
-
-
2+7
3
F
U
H
S
I
-
-
9
-
-
5
-
9
-
6
3
8
1
9
-
-
-
-
-
-
-
-
3
F
U
H
S
I
-
-
5
-
-
5
-
5

 

 

C
=
3
-
9
CONFUCIUS
111
39
3
C
=
3
-
7
CONFUSE
83
29
2
U
=
3
-
2
US
40
4
4
-
-
9
4
18
Add to Reduce
234
72
9
-
-
-
-
1+8
Reduce to Deduce
2+3+4
7+2
-
-
-
9
-
9
Essence of Number
9
9
9

 

 

 

T
=
2
-
3
THE
33
15
6
L
=
3
-
3
LAW
36
9
9
O
=
6
-
2
OF
21
12
3
T
=
2
-
3
TAO
36
9
9
-
-
13
4
11
Add to Reduce
126
45
9
-
-
1+3
-
1+1
Reduce to Deduce
1+2+6
4+5
-
-
-
4
-
2
Essence of Number
9
9
9

 

 

21-
11
T
H
E
-
L
A
W
-
O
F
-
T
A
O
-
-
-
-
-
--
-
-
-
-
-
-
-
8
-
-
-
-
-
-
6
-
-
-
-
6
+
=
20
2+0
=
2
=
2
=
2
-
-
-
8
-
-
-
-
-
-
15
-
-
-
-
15
+
=
38
3+8
=
11
1+1
2
=
2
-
11
T
H
E
-
L
A
W
-
O
F
-
T
A
O
-
-
-
-
-
-
-
-
-
-
-
-
2
-
5
-
3
1
5
-
-
6
-
2
1
-
+
=
25
2+5
=
7
=
7
=
7
-
-
20
-
5
-
12
1
23
-
-
6
-
20
1
-
+
=
88
8+8
=
16
1+6
7
=
7
-
11
T
H
E
-
L
A
W
-
O
F
-
T
A
O
-
-
-
-
-
--
-
-
-
-
-
-
20
8
5
-
12
1
23
-
15
6
-
20
1
15
+
=
126
1+2+6
=
9
=
9
=
9
-
-
2
8
5
-
3
1
5
-
6
6
-
2
1
6
+
=
45
4+5
=
9
=
9
=
9
-
11
T
H
E
-
L
A
W
-
O
F
-
T
A
O
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
1
-
-
-
1
occurs
x
2
=
2
=
2
-
``-
2
-
-
-`
-
-
-
-`
-
-
-`
2
-
-
-
-
2
occurs
x
2
=
4
=
4
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
-
-
-
-
5
-
-
-
5
-
-
-
-
-
-
-
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
-
-
-
-
-
-
-
6
6
-
-
-
6
-
-
6
occurs
x
3
=
18
1+8
9
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
NINE
9
-
-
-
-
-
20
11
T
H
E
-
L
A
W
-
O
F
-
T
A
O
-
-
25
-
-
11
-
45
-
27
2+0
1+1
2
8
5
-
3
1
5
-
6
6
-
2
1
6
-
-
2+5
-
-
1+1
-
4+5
-
2+7
2
2
T
H
E
-
L
A
W
-
O
F
-
T
A
O
-
-
7
-
-
2
-
9
-
9

 

 

11
T
H
E
-
L
A
W
-
O
F
-
T
A
O
-
-
-
-
-
--
-
-
-
-
-
-
8
-
-
-
-
-
-
6
-
-
-
-
6
+
=
20
2+0
=
2
=
2
=
2
-
-
8
-
-
-
-
-
-
15
-
-
-
-
15
+
=
38
3+8
=
11
1+1
2
=
2
11
T
H
E
-
L
A
W
-
O
F
-
T
A
O
-
-
-
-
-
-
-
-
-
-
-
2
-
5
-
3
1
5
-
-
6
-
2
1
-
+
=
25
2+5
=
7
=
7
=
7
-
20
-
5
-
12
1
23
-
-
6
-
20
1
-
+
=
88
8+8
=
16
1+6
7
=
7
11
T
H
E
-
L
A
W
-
O
F
-
T
A
O
-
-
-
-
-
--
-
-
-
-
-
20
8
5
-
12
1
23
-
15
6
-
20
1
15
+
=
126
1+2+6
=
9
=
9
=
9
-
2
8
5
-
3
1
5
-
6
6
-
2
1
6
+
=
45
4+5
=
9
=
9
=
9
11
T
H
E
-
L
A
W
-
O
F
-
T
A
O
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
1
-
-
-
1
occurs
x
2
=
2
=
2
``-
2
-
-
-`
-
-
-
-`
-
-
-`
2
-
-
-
-
2
occurs
x
2
=
4
=
4
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
-
-
5
-
-
-
5
-
-
-
-
-
-
-
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
-
-
-
-
-
-
6
6
-
-
-
6
-
-
6
occurs
x
3
=
18
1+8
9
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
11
T
H
E
-
L
A
W
-
O
F
-
T
A
O
-
-
25
-
-
11
-
45
-
27
1+1
2
8
5
-
3
1
5
-
6
6
-
2
1
6
-
-
2+5
-
-
1+1
-
4+5
-
2+7
2
T
H
E
-
L
A
W
-
O
F
-
T
A
O
-
-
7
-
-
2
-
9
-
9

 

 

T
=
2
-
3
THE
33
15
6
S
=
1
-
8
SCENARIO
84
39
3
-
-
3
4
11
Add to Reduce
117
54
9
-
-
-
-
1+1
Reduce to Deduce
1+1+7
5+4
-
-
-
3
-
2
Essence of Number
9
9
9

 

 

3
THE
33
15
6
9
PRISONERS
133
52
7
7
DILEMMA
57
30
3
19
First Total
223
97
16
1+9
Add to Reduce
2+2+3
9+7
1+6
10
Second Total
7
16
7
1+0
Reduce to Deduce
-
1+6
-
1
Essence of Number
7
7
7
-
-
-
-
-
-
-
-
-
-
4
GAME
26
17
8
6
THEORY
91
37
1
10
Add to Reduce
117
54
9
1+0
Reduce to Deduce
1+1+7
5+4
-
1
Essence of Number
9
9
9

 

 

-
10
G
A
M
E
-
T
H
E
O
R
Y
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
-
-
-
8
-
6
-
-
+
=
14
1+4
=
5
=
5
=
5
-
-
-
-
-
-
-
-
8
-
15
-
-
+
=
23
2+3
=
5
=
5
=
5
-
10
G
A
M
E
-
T
H
E
O
R
Y
-
-
-
-
-
--
-
-
-
-
-
-
7
1
4
5
-
2
-
5
-
9
7
+
=
40
4+0
=
4
=
4
=
4
-
-
7
1
13
5
-
20
-
5
-
18
25
+
=
94
9+4
=
13
1+3
4
=
4
-
10
G
A
M
E
-
T
H
E
O
R
Y
-
-
-
-
-
--
-
-
-
-
-
-
7
1
13
5
-
20
8
5
15
18
25
+
=
117
1+1+7
=
9
=
9
=
9
-
-
7
1
4
5
-
2
8
5
6
9
7
+
=
54
5+4
=
9
=
9
=
9
-
10
G
A
M
E
-
T
H
E
O
R
Y
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
``-
-
-
-
-
-
2
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
THREE
3
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
-
5
-
-
-
5
-
-
-
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
-
-
-
-
-
-
-
6
-
-
-
-
6
occurs
x
1
=
6
=
6
-
-
7
-
-
-
-
-
-
-
-
-
7
-
-
7
occurs
x
2
=
14
1+4
5
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
9
occurs
x
1
=
9
=
9
3
10
G
A
M
E
-
T
H
E
O
R
Y
-
-
42
`
-
10
-
54
-
36
-
1+0
-
-
-
-
-
-
-
-
-
9
-
-
-
4+2
-
-
1+0
-
5+4
-
3+6
3
1
G
A
M
E
-
T
H
E
O
R
Y
-
-
6
-
-
1
-
9
-
9
-
-
7
1
4
5
-
2
8
5
6
9
7
-
-
-
-
-
-
-
-
-
`-
3
1
G
A
M
E
-
T
H
E
O
R
Y
-
-
6
-
-
1
-
9
-
9

 

 

T
=
2
-
3
THE
33
15
6
B
=
2
-
4
BOOK
43
16
7
O
=
6
-
2
OF
21
12
3
C
=
3
-
7
CHANGES
57
30
3
-
-
13
4
16
First Total
154
73
19
-
-
1+3
-
1+6
Add to Reduce
1+5+4
7+3
1+9
-
-
4
-
7
Second Total
10
10
10
-
-
-
4
-
Reduce to Deduce
1+0
1+0
1+0
-
-
4
-
7
Essence of Number
1
1
1

 

 

I
=
9
-
1
I
9
9
9
C
=
3
-
8
CHANGING
63
45
9
-
-
12
4
9
Add to Reduce
72
54
18
-
-
1+2
-
-
Reduce to Deduce
7+2
5+4
1+8
-
-
3
-
9
Essence of Number
9
9
9

 

 

1
I
9
9
9
5
CHING
41
32
5
6
Add to Reduce
50
41
14
-
Reduce to Deduce
5+0
4+1
1+4
6
Essence of Number
5
5
5

 

 

-
15
I
-
C
H
A
N
G
I
N
G
-
I
-
C
H
I
N
G
-
-
-
-
-
--
-
-
-
-
-
-
9
-
-
8
-
5
-
9
5
-
-
9
-
-
8
9
5
-
+
=
67
6+7
=
13
1+3
4
=
4
-
-
9
-
-
8
-
14
-
9
14
-
-
9
-
-
8
9
14
-
+
=
94
9+4
=
13
1+3
4
=
4
-
15
I
-
C
H
A
N
G
I
N
G
-
I
-
C
H
I
N
G
-
-
-
-
-
--
-
-
-
-
-
-
-
-
3
-
1
-
7
-
-
7
-
-
-
3
-
-
-
7
+
=
28
2+8
=
10
1+0
1
=
1
-
15
I
-
C
H
A
N
G
I
N
G
-
I
-
C
H
I
N
G
-
-
-
-
-
--
-
-
-
-
-
-
9
-
3
8
1
14
7
9
14
7
-
9
-
3
8
9
14
7
+
=
122
1+2+2
=
5
=
5
=
5
-
-
9
-
3
8
1
5
7
9
5
7
-
9
-
3
8
9
5
7
+
=
95
9+5
=
14
1+4
5
=
5
5
15
I
-
C
H
A
N
G
I
N
G
-
I
-
C
H
I
N
G
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
2
``-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
TWO
2
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
3
occurs
x
2
=
6
=
6
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
-
-
-
-
-
-
-
5
-
-
5
-
-
-
-
-
-
-
5
-
-
-
5
occurs
x
3
=
15
1+5
6
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
SIX
6
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
7
-
-
-
-
-
-
-
7
-
-
7
occurs
x
3
=
21
2+1
3
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
8
occurs
x
2
=
16
1+6
7
-
-
9
-
-
-
-
-
-
9
-
-
-
9
-
-
-
9
-
-
-
-
9
occurs
x
4
=
36
3+6
9
12
15
I
-
C
H
A
N
G
I
N
G
-
I
-
C
H
I
N
G
-
-
33
`
-
15
-
95
-
32
1+2
1+5
9
-
-
-
-
-
-
9
-
-
-
9
-
-
-
9
-
-
-
-
3+3
-
-
1+5
-
9+5
-
3+2
3
6
I
-
C
H
A
N
G
I
N
G
-
I
-
C
H
I
N
G
-
-
6
-
-
6
-
14
-
5
-
-
9
-
3
8
1
5
7
9
5
7
-
9
-
3
8
9
5
7
-
-
-
-
-
-
-
1+4
-
`-
3
6
I
-
C
H
A
N
G
I
N
G
-
I
-
C
H
I
N
G
-
-
6
-
-
6
-
5
-
5

 

 

15
I
-
C
H
A
N
G
I
N
G
-
I
-
C
H
I
N
G
-
-
-
-
-
--
-
-
-
-
-
9
-
-
8
-
5
-
9
5
-
-
9
-
-
8
9
5
-
+
=
67
6+7
=
13
1+3
4
=
4
-
9
-
-
8
-
14
-
9
14
-
-
9
-
-
8
9
14
-
+
=
94
9+4
=
13
1+3
4
=
4
15
I
-
C
H
A
N
G
I
N
G
-
I
-
C
H
I
N
G
-
-
-
-
-
--
-
-
-
-
-
-
-
3
-
1
-
7
-
-
7
-
-
-
3
-
-
-
7
+
=
28
2+8
=
10
1+0
1
=
1
15
I
-
C
H
A
N
G
I
N
G
-
I
-
C
H
I
N
G
-
-
-
-
-
--
-
-
-
-
-
9
-
3
8
1
14
7
9
14
7
-
9
-
3
8
9
14
7
+
=
122
1+2+2
=
5
=
5
=
5
-
9
-
3
8
1
5
7
9
5
7
-
9
-
3
8
9
5
7
+
=
95
9+5
=
14
1+4
5
=
5
15
I
-
C
H
A
N
G
I
N
G
-
I
-
C
H
I
N
G
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
-
3
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
3
occurs
x
2
=
6
=
6
-
-
-
-
-
-
5
-
-
5
-
-
-
-
-
-
-
5
-
-
-
5
occurs
x
3
=
15
1+5
6
-
-
-
-
-
-
-
7
-
-
7
-
-
-
-
-
-
-
7
-
-
7
occurs
x
3
=
21
2+1
3
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
8
occurs
x
2
=
16
1+6
7
-
9
-
-
-
-
-
-
9
-
-
-
9
-
-
-
9
-
-
-
-
9
occurs
x
4
=
36
3+6
9
15
I
-
C
H
A
N
G
I
N
G
-
I
-
C
H
I
N
G
-
-
33
`
-
15
-
95
-
32
1+5
9
-
-
-
-
-
-
9
-
-
-
9
-
-
-
9
-
-
-
-
3+3
-
-
1+5
-
9+5
-
3+2
6
I
-
C
H
A
N
G
I
N
G
-
I
-
C
H
I
N
G
-
-
6
-
-
6
-
14
-
5
-
9
-
3
8
1
5
7
9
5
7
-
9
-
3
8
9
5
7
-
-
-
-
-
-
-
1+4
-
`-
6
I
-
C
H
A
N
G
I
N
G
-
I
-
C
H
I
N
G
-
-
6
-
-
6
-
5
-
5

 

 

THE

I

CHANGING

I

CHING

 

 

-
6
I
-
C
H
I
N
G
-
-
-
-
-
--
-
-
-
-
-
-
9
-
-
8
9
5
-
+
=
31
3+1
=
4
=
4
=
4
-
-
9
-
-
8
9
14
-
+
=
40
4+0
=
4
=
4
=
4
-
6
I
-
C
H
I
N
G
-
-
-
-
-
--
-
-
-
-
-
-
-
-
3
-
-
-
7
+
=
10
1+0
=
1
=
1
=
1
-
-
-
-
3
-
-
-
7
+
=
10
1+0
=
1
=
1
=
1
-
6
I
-
C
H
I
N
G
-
-
-
-
-
--
-
-
-
-
-
-
9
-
3
8
9
14
7
+
=
50
5+0
=
5
=
5
=
5
-
-
9
-
3
8
9
5
7
+
=
41
4+1
=
5
=
5
=
5
-
6
I
-
C
H
I
N
G
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
1
ONE
1
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
2
TWO
2
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
4
-
-
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
-
-
-
-
-
-
-
5
-
-
-
5
occurs
x
1
=
5
=
5
6
-
-
-
-
-
-
-
-
-
-
2
SIX
2
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
7
occurs
x
1
=
7
=
7
-
-
-
-
-
8
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
9
-
--
-
9
-
-
-
-
9
occurs
x
2
=
18
1+8
9
13
6
I
-
C
H
I
N
G
-
-
32
-
-
6
-
41
-
32
1+3
-
9
-
--
-
9
-
-
-
-
3+2
-
-
-
-
4+1
-
3+2
4
6
I
-
C
H
I
N
G
-
-
5
-
-
6
-
5
-
5
-
-
9
-
3
8
9
5
7
-
-
-
-
-
-
-
-
-
-
4
6
I
-
C
H
I
N
G
-
-
5
-
-
6
-
5
-
5

 

 

6
I
-
C
H
I
N
G
-
-
-
-
-
--
-
-
-
-
-
9
-
-
8
9
5
-
+
=
31
3+1
=
4
=
4
=
4
-
9
-
-
8
9
14
-
+
=
40
4+0
=
4
=
4
=
4
6
I
-
C
H
I
N
G
-
-
-
-
-
--
-
-
-
-
-
-
-
3
-
-
-
7
+
=
10
1+0
=
1
=
1
=
1
-
-
-
3
-
-
-
7
+
=
10
1+0
=
1
=
1
=
1
6
I
-
C
H
I
N
G
-
-
-
-
-
--
-
-
-
-
-
9
-
3
8
9
14
7
+
=
50
5+0
=
5
=
5
=
5
-
9
-
3
8
9
5
7
+
=
41
4+1
=
5
=
5
=
5
6
I
-
C
H
I
N
G
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
-
-
-
-
-
5
-
-
-
5
occurs
x
1
=
5
=
5
-
-
-
-
-
-
-
7
-
-
7
occurs
x
1
=
7
=
7
-
-
-
-
8
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
9
-
--
-
9
-
-
-
-
9
occurs
x
2
=
18
1+8
9
6
I
-
C
H
I
N
G
-
-
32
-
-
6
-
41
-
32
-
9
-
--
-
9
-
-
-
-
3+2
-
-
-
-
4+1
-
3+2
6
I
-
C
H
I
N
G
-
-
5
-
-
6
-
5
-
5
-
9
-
3
8
9
5
7
-
-
-
-
-
-
-
-
-
-
6
I
-
C
H
I
N
G
-
-
5
-
-
6
-
5
-
5

 

 

6
I
C
H
I
N
G
-
-
-
-
-
--
-
-
-
-
-
9
-
8
9
5
-
+
=
31
3+1
=
4
=
4
=
4
-
9
-
8
9
14
-
+
=
40
4+0
=
4
=
4
=
4
6
I
C
H
I
N
G
-
-
-
-
-
--
-
-
-
-
-
-
3
-
-
-
7
+
=
10
1+0
=
1
=
1
=
1
-
-
3
-
-
-
7
+
=
10
1+0
=
1
=
1
=
1
6
I
C
H
I
N
G
-
-
-
-
-
--
-
-
-
-
-
9
3
8
9
14
7
+
=
50
5+0
=
5
=
5
=
5
-
9
3
8
9
5
7
+
=
41
4+1
=
5
=
5
=
5
6
I
C
H
I
N
G
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
-
-
-
-
5
-
-
-
5
occurs
x
1
=
5
=
5
-
-
-
-
-
-
7
-
-
7
occurs
x
1
=
7
=
7
-
-
-
8
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
9
--
-
9
-
-
-
-
9
occurs
x
2
=
18
1+8
9
6
I
C
H
I
N
G
-
-
32
-
-
6
-
41
-
32
-
9
--
-
9
-
-
-
-
3+2
-
-
-
-
4+1
-
3+2
6
I
C
H
I
N
G
-
-
5
-
-
6
-
5
-
5
-
9
3
8
9
5
7
-
-
-
-
-
-
-
-
-
-
6
I
C
H
I
N
G
-
-
5
-
-
6
-
5
-
5

 

 

6
I CHING
50
41
5
9
I CHANGING
-
-
-
1
I
9
9
9
2
C
3
3
3
-
H+A
9
9
9
1
N+G
21
12
3
2
I
9
9
9
-
N+G
21
12
3
9
I CHANGING
72
54
36
-
-
7+2
5+4
3+6
9
I CHANGING
9
9
9

 

 

5
DREAM
-
-
-
4
READ
28
19
1
2
ME
18
9
9
5
DREAM
41
23
5

 

 

3
THE
33
15
6
5
DREAM
41
23
5
2
OF
21
12
3
4
MIND
40
22
4
14
Add to Reduce
135
72
18
1+4
Reduce to Deduce
1+3+5
7+2
1+8
5
Essence of Number
9
9
9

 

 

7
DREAMER
-
-
-
4
READ
28
19
1
2
ME
18
9
9
1
R
18
9
9
7
DREAMER
-
-
-

 

 

4
READ
28
19
1
2
ME
18
9
9
5
DREAM
41
23
5

 

 

4
READ
28
19
1
1
B
2
2
2
5
BREAD
30
21
3

 

 

-
8
H
E
X
A
G
R
A
M
-
-
-
-
-
--
-
-
-
-
8
-
6
-
-
-
-
-
+
=
14
1+4
=
5
=
5
-
-
8
-
24
-
-
-
-
-
+
=
32
3+2
=
5
=
5
-
8
H
E
X
A
G
R
A
M
-
-
-
-
-
--
-
-
-
-
-
5
-
1
7
9
1
4
+
=
27
2+7
=
9
=
9
-
-
-
5
-
1
7
18
1
13
+
=
45
4+5
=
9
=
9
-
8
H
E
X
A
G
R
A
M
-
-
-
-
-
--
-
-
-
-
8
5
24
1
7
18
1
13
+
=
77
7+7
=
14
1+4
5
-
-
8
5
6
1
7
9
1
4
+
=
41
4+1
=
5
=
5
-
8
H
E
X
A
G
R
A
M
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
-
-
-
1
occurs
x
2
=
2
2
-
-
-
-
-
-
-
-
-
-
-
2
TWO
2
-
-
-
3
-
-
-
-
-
-
-
-
-
-
-
3
THREE
3
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
4
occurs
x
1
=
4
-
-
-
5
-
-
-
-
-
-
-
-
5
occurs
x
1
=
5
-
-
-
-
6
-
-
-
-
-
=
-
6
occurs
x
1
=
6
-
-
-
-
-
-
7
-
-
-
-
-
7
occurs
x
1
=
7
-
-
8
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
-
-
-
-
-
-
-
9
-
-
=
-
9
occurs
x
1
=
9
5
8
H
E
X
A
G
R
A
M
-
-
40
-
-
8
-
41
-
-
-
-
-
-
-
9
-
-
-
-
4+0
-
-
-
-
4+1
5
8
H
E
X
A
G
R
A
M
-
-
4
-
-
8
-
5
-
-
8
5
6
1
7
9
1
4
-
-
-
-
-
-
-
-
5
8
H
E
X
A
G
R
A
M
-
-
4
-
-
8
-
5

 

 

8
H
E
X
A
G
R
A
M
-
-
-
-
-
--
-
-
-
8
-
6
-
-
-
-
-
+
=
14
1+4
=
5
=
5
-
8
-
24
-
-
-
-
-
+
=
32
3+2
=
5
=
5
8
H
E
X
A
G
R
A
M
-
-
-
-
-
--
-
-
-
-
5
-
1
7
9
1
4
+
=
27
2+7
=
9
=
9
-
-
5
-
1
7
18
1
13
+
=
45
4+5
=
9
=
9
8
H
E
X
A
G
R
A
M
-
-
-
-
-
--
-
-
-
8
5
24
1
7
18
1
13
+
=
77
7+7
=
14
1+4
5
-
8
5
6
1
7
9
1
4
+
=
41
4+1
=
5
=
5
8
H
E
X
A
G
R
A
M
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
-
-
-
1
occurs
x
2
=
2
-
-
-
-
-
-
-
-
4
-
-
4
occurs
x
1
=
4
-
-
5
-
-
-
-
-
-
-
-
5
occurs
x
1
=
5
-
-
-
6
-
-
-
-
-
=
-
6
occurs
x
1
=
6
-
-
-
-
-
7
-
-
-
-
-
7
occurs
x
1
=
7
-
8
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
-
-
-
-
-
-
9
-
-
=
-
9
occurs
x
1
=
9
8
H
E
X
A
G
R
A
M
-
-
40
-
-
8
-
41
-
-
-
-
-
-
9
-
-
-
-
4+0
-
-
-
-
4+1
8
H
E
X
A
G
R
A
M
-
-
4
-
-
8
-
5
-
8
5
6
1
7
9
1
4
-
-
-
-
-
-
-
-
8
H
E
X
A
G
R
A
M
-
-
4
-
-
8
-
5

 

 

5
XAGON
61
25
7
7
HEXAGON
74
38
2
9
HEXAGONAL
87
42
6

 

 

6
XAGRAM
64
28
1
8
HEXAGRAM
77
41
5

 

 

8
HEXAGRAM
77
41
5
6
CHRIST
77
32
5
5
POWER
77
32
5

 

 

6
I-CHING
50
41
5
6
Y-CHING
66
39
3
5
Y-KING
66
30
3
9
Y-CHANGING
88
52
7
5
I-KING
50
32
5

 

 

 

 

Yin and yang

From Wikipedia, the free encyclopedia

YIN-YANG
For information about (and other uses of) the symbol ☯, see Taijitu and Taiji (philosophy).

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In Chinese philosophy, the concept of yin-yang (simplified Chinese: 阴阳; traditional Chinese: 陰陽; pinyin: yīnyáng), which is often called "yin and yang",[1][2][3][4] is used to describe how seemingly opposite or contrary forces are interconnected and interdependent in the natural world; and, how they give rise to each other as they interrelate to one another. Many natural dualities (such as light and dark, high and low, hot and cold, fire and water, life and death, and so on) are thought of as physical manifestations of the yin-yang concept. The concept lies at the origins of many branches of classical Chinese science and philosophy, as well as being a primary guideline of traditional Chinese medicine,[5] and a central principle of different forms of Chinese martial arts and exercise, such as baguazhang, taijiquan (t'ai chi), and qigong (Chi Kung) and of course I Ching.

Yin and yang can be thought of as complementary (instead of opposing) forces interacting to form a dynamic system in which the whole is greater than the parts. Everything has both yin and yang aspects, (for instance shadow cannot exist without light). Either of the two major aspects may manifest more strongly in a particular object, depending on the criterion of the observation.

In Taoist metaphysics, good-bad distinctions and other dichotomous moral judgments are perceptual, not real; so, yin-yang is an indivisible whole. In the ethics of Confucianism on the other hand, most notably in the philosophy of Dong Zhongshu, (c. 2nd century BC) a moral dimension is attached to the yin-yang idea.[6]

The concept of yin and yang is often symbolized by various forms of the Taijitu symbol, for which it is probably best known in Western cultures.

Contents [hide]
1 Nature
2 Toponymy
3 Symbolism and importance 3.1 I Ching
3.2 Taijitu
3.3 Taijiquan

4 See also
5 References
6 External links

Nature[edit]

In Daoist philosophy, dark and light, yin and yang, arrive in the Dàodéjīng (道德經) at chapter 42.[7] It becomes sensible from an initial quiescence or emptiness (wuji, sometimes symbolized by an empty circle), and continues moving until quiescence is reached again. For instance, dropping a stone in a calm pool of water will simultaneously raise waves and lower troughs between them, and[citation needed] this alternation of high and low points in the water will radiate outward until the movement dissipates and the pool is calm once more. Yin and yang thus are always opposite and equal qualities. Further, whenever one quality reaches its peak, it will naturally begin to transform into the opposite quality: for example, grain that reaches its full height in summer (fully yang) will produce seeds and die back in winter (fully yin) in an endless cycle.

It is impossible to talk about yin or yang without some reference to the opposite, since yin and yang are bound together as parts of a mutual whole (for example, there cannot be the bottom of the foot without the top). A way to illustrate this idea is[citation needed] to postulate the notion of a race with only men or only women; this race would disappear in a single generation. Yet, men and women together create new generations that allow the race they mutually create (and mutually come from) to survive. The interaction of the two gives birth to things.[8] Yin and yang transform each other: like an undertow in the ocean, every advance is complemented by a retreat, and every rise transforms into a fall. Thus, a seed will sprout from the earth and grow upwards towards the sky—an intrinsically yang movement. Then, when it reaches its full potential height, it will fall. Also, the growth of the top seeks light, while roots grow in darkness.

Toponymy[edit]

Many places in China, such as Luoyang, contain the word yang, and a few, such as Huayin, contain the word yin. This is a very old way to assign place names.

Classically, when used in place names, yang refers to the "sunny side." The word 太陽 (simplified 太阳), tàiyáng, refers to the sun, and literally means "great yang." In the northern hemisphere, sunlight comes predominantly from the south, and so the south face of a mountain (or the north face of a river valley) will get more direct sunlight. Therefore, yang means a place is on the south slope of a mountain (or on the north bank of a river valley). For example, Luoyang is on the north bank of the Luo River valley.

In the same way, yin would be the opposite, the "shady side." Yin means that a place is on the north slope of a mountain (or on the south bank of a river). For example, Huayin is on the north slope of Mount Hua.

Symbolism and importance[edit]

Yin is the black side with the white dot on it, and yang is the white side with the black dot on it. The relationship between yin and yang is often described in terms of sunlight playing over a mountain and a valley. Yin (literally the 'shady place' or 'north slope') is the dark area occluded by the mountain's bulk, while yang (literally the 'sunny place' or 'south slope') is the brightly lit portion. As the sun moves across the sky, yin and yang gradually trade places with each other, revealing what was obscured and obscuring what was revealed.

Yin is characterized as slow, soft, yielding, diffuse, cold, wet, and passive; and is associated with water, earth, the moon, femininity and nighttime.

Yang, by contrast, is fast, hard, solid, focused, hot, dry, and aggressive; and is associated with fire, sky, the sun, masculinity and daytime.[9]

Yin and yang applies to the human body. In traditional Chinese medicine good health is directly related to the balance between yin and yang qualities within oneself.[10] If yin and yang become unbalanced, one of the qualities is considered deficient or has vacuity.

I Ching[edit]

In the I Ching, yin and yang are represented by broken and solid lines: yin is broken (⚋) and yang is solid (⚊). These are then combined into trigrams, which are more yang or more yin depending on the number of broken and solid lines (e.g., ☰ is heavily yang, while ☷ is heavily yin), and trigrams are combined into hexagrams (e.g. ䷕ and ䷟). The relative positions and numbers of yin and yang lines within the trigrams determines the meaning of a trigram, and in hexagrams the upper trigram is considered yang with respect to the lower trigram, allowing complex depictions of interrelations.

Taijitu[edit]

Main article: Taijitu

The principle of yin and yang is represented in Taoism by the Taijitu (literally "diagram of the supreme ultimate"). The term is commonly used to mean the simple "divided circle" form, but may refer to any of several schematic diagrams representing these principles. Similar symbols have also appeared in other cultures, such as in Celtic art and Roman shield markings.[11][12][13]

Yin and yang - Wikipedia, the free encyclopedia
en.wikipedia.org/wiki/Yin_and_yang‎

In Chinese philosophy, the concept of yin-yang (simplified Chinese: 阴阳; traditional Chinese: 陰陽; pinyin: yīnyáng), which is often called "yin and yang", is used ...
‎Taijitu - ‎Chinese philosophy - ‎Aesthetic Realism - ‎Wuji

Taijiquan[edit]

Taijiquan, a form of martial art, is often described as the principles of yin and yang applied to the human body and an animal body. Wu Jianquan, a famous Chinese martial arts teacher, described Taijiquan as follows:

Various people have offered different explanations for the name Taijiquan. Some have said: – 'In terms of self-cultivation, one must train from a state of movement towards a state of stillness. Taiji comes about through the balance of yin and yang. In terms of the art of attack and defense then, in the context of the changes of full and empty, one is constantly internally latent, not outwardly expressive, as if the yin and yang of Taiji have not yet divided apart.' Others say: 'Every movement of Taijiquan is based on circles, just like the shape of a Taijitu. Therefore, it is called Taijiquan.

— Wu Jianquan, The International Magazine of T’ai Chi Ch’uan[14]

See also[edit]

Portal icon Taoism portal

Aesthetic Realism
Dichotomy
Duality
Endless knot
Five elements
Flag of South Korea
Fu Xi
Gankyil
Golden Mean
Huangdi Neijing
I Ching
Iota Geminorum
Niels Bohr with his coat of arms
Ouroboros
Purusha Prakriti

Qi
Taegeuk
T'ai chi ch'uan
Tao Te Ching
Traditional Chinese medicine
Triple yin yang[disambiguation needed]
Zhuangzi

References[edit]

1.^ Deng Yu et al,Nature with Math Physics Yin Yang, Journal of Mathematical Medicine, 1999年。
2.^ Deng Yu et al, 阴阳的科学本质及数理化建构,Chinese Journal of basic medicine in traditional chinese medicine 1998,2:59-61.
3.^ Deng Yu, Zhu Shuanli, Xu Peng et al,New Translator with Characteristic of Wu xing Yin Yang,Chinese Journal of Integrative Medicine,2000, 20 (12)
4.^ Deng Yu et al,TCM Fractal Sets中医分形集,Journal of Mathematical Medicine,1999,12(3),264-265
5.^ Porkert (1974). The Theoretical Foundations of Chinese Medicine. MIT Press. ISBN 0-262-16058-7.
6.^ Taylor Latener, Rodney Leon (2005). The Illustrated Encyclopedia of Confucianism, Vol. 2. New York: Rosen Publishing Group. p. 869. ISBN 978-0-8239-4079-0.
7.^ Muller, Charles. "Daode Jing". Retrieved 2012-09-04.
8.^ iep.utm.edu
9.^ Osgood, Charles E. "From Yang and Yin to and or but." Language 49.2 (1973): 380–412 . JSTOR. 16 November 2008, jstor.org
10.^ Li CL. A brief outline of Chinese medical history with particular reference to acupuncture. Perspect Biol Med. 1974 Autumn;18(1):132-43.
11.^ Giovanni Monastra: "The "Yin–Yang" among the Insignia of the Roman Empire?," "Sophia," Vol. 6, No. 2 (2000)
12.^ Late Roman Shield Patterns. Notitia Dignitatum: Magister Peditum
13.^ Helmut Nickel: "The Dragon and the Pearl," Metropolitan Museum Journal, Vol. 26 (1991), p. 146, Fn. 5
14.^ Woolidge, Doug (June 1997). T’AI CHI The International Magazine of T’ai Chi Ch’uan Vol. 21 No. 3. Wayfarer Publications. ISSN 0730-1049

 

 

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21
3
8
FEMININE
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3
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4
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3
YIN
48
21
3
8
FEMININE
75
48
3
11
First Total
123
69
6
1+1
Add to Reduce
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2
Second Total
6
15
6
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6
6
6

 

 

4
YANG
47
20
2
9
MASCULINE
97
34
7
13
Add to Reduce
144
54
9
1+3
Reduce to Deduce
1+4+4
5+4
-
4
Essence of Number
9
9
9

 

 

3
YIN
48
21
3
6
FEMALE
42
24
6

 

 

4
YANG
47
20
2
4
MALE
31
13
4

 

 

3
YIN
48
21
3
4
YANG
47
20
2
7
First Total
95
41
5
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Add to Reduce
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Second Total
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5
5
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Reduce to Deduce
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7
Essence of Number
5
5
5

 

 

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YIN YANG
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1
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20
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41
-
7
YIN YANG
95
41
41
-
1
2
3
4
10
6
21
8
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Yinyang (Yin-yang) [Internet Encyclopedia of Philosophy]

www.iep.utm.edu/yinyang/‎

by RR Wang - ‎2006 - ‎Cited by 2 - ‎Related articles
Yinyang (yin-yang) is one of the dominant concepts shared by different schools throughout the history of Chinese philosophy. Just as with many other Chinese ...

Yinyang (Yin-yang)

Yinyang (yin-yang) is one of the dominant concepts shared by different schools throughout the history of Chinese philosophy. Just as with many other Chinese philosophical notions, the influences of yinyang are easy to observe, but its conceptual meanings are hard to define. Despite the differences in the interpretation, application, and appropriation of yinyang, three basic themes underlie nearly all deployments of the concept in Chinese philosophy: (1) yinyang as the coherent fabric of nature and mind, exhibited in all existence, (2) yinyang as jiao (interaction) between the waxing and waning of the cosmic and human realms, and (3) yinyang as a process of harmonization ensuring a constant, dynamic balance of all things. As the Zhuangzi (Chuang-tzu) claims, “Yin in its highest form is freezing while yang in its highest form is boiling. The chilliness comes from heaven while the warmness comes from the earth. The interaction of these two establishes he (harmony), so it gives birth to things. Perhaps this is the law of everything yet there is no form being seen.”(Zhuangzi, Chapter 21). In none of these conceptions of yinyang is there a valuational hierarchy, as if yin could be abstracted from yang (or vice versa), regarded as superior or considered metaphysically separated and distinct. Instead, yinyang is emblematic of valuational equality rooted in the unified, dynamic, and harmonized structure of the cosmos. As such, it has served as a heuristic mechanism for formulating a coherent view of the world throughout Chinese intellectual and religious history.
1.Origins of the Terms Yin and Yang
2.The Yinyang School
3.Yinyang as Qi (Vital Energy)
4.Yinyang as Xingzi (Concrete Substance)
5.The Yinyang Symbol
6.References and Further Reading

1. Origins of the Terms Yin and Yang

The earliest Chinese characters for yin and yang are found in inscriptions made on “oracle bones” (skeletal remains of various animals used in ancient Chinese divination practices at least as early as the 14th century BCE). In these inscriptions, yin and yang simply are descriptions of natural phenomena such as weather conditions, especially the movement of the sun. There is sunlight during the day (yang) and a lack of sunlight at night (yin). According to the earliest comprehensive dictionary of Chinese characters (ca. 100 CE), Xu Shen’s Shuowen jiezi (Explaining Single-component Graphs and Analyzing Compound Characters), yin refers to “a closed door, darkness and the south bank of a river and the north side of a mountain.” Yang refers to “height, brightness and the south side of a mountain.” These meanings of yin and yang originated in the daily life experience of the early Chinese. Peasants depended on sunlight for lighting and their daily life routines. When the sun came out, they would go to the field to work; when the sun went down, they would return home to rest. This sun-based daily pattern evidently led to a conceptual claim: yang is movement (dong) and yin is rest (jing). In their earliest usages, yin and yang existed independently and were not connected. The first written record of using these two characters together appears in a verse from the Shijing (Book of Songs): “Viewing the scenery at a hill, looking for yinyang.” This indicates that yang is the sunny side and yin is the shady side of hill. This effect of the sun exists at the same time over the hill.

2. The Yinyang School

According to Sima Tan (Ssu-ma Tan, ca. 110 BCE), there existed a school of teaching during the “Spring and Autumn” (770-481 BCE) and “Warring States” (403-221 BCE) periods that bore the name of yinyang. He lists this yinyang school alongside five others (Confucian, Mohist, Legalist, Fatalist, and Daoist) and defines its theory as “the investigation of the shu [art] of yin and yang.” According to him, this school focused on omens of luck and explored the patterns of the four seasons. In other words, the yinyang school was concerned with methods of divination or astronomy (disciplines that were not distinct from one another in early China, as elsewhere in the ancient world) and the calendrical arts (which entailed study of the four seasons, eight locations, twelve du [measures] and twenty-four shijie [time periods]). Just as the Confucians (rujia) arose from the ranks of rushi (“scholar-gentlemen”) who excelled at ritual and music, those of the yingyang school came from the fangshi (“recipe-gentlemen”) who specialized in various numerological disciplines known as shushu (“number-arts”). These shushu included tianwen (astronomy), lipu (calendar-keeping), wuxing (“five phases” correlative theory), zhuguai (tortoise-shell divination), zazha (fortune-telling) and xingfa (face-reading). The Han dynasty chronicle Shiji (Records of the Historian) lists Zou Yan (305-240 BCE) as a representative of the yinyang school who possessed a profound knowledge of the theory of yinyang and wrote about a hundred thousand words on it. However, none of his works have survived.

By the Han dynasty (202 BCE-220 CE), yinyang was associated with wuxing (“five phases”) correlative cosmology. According to the “Great Plan” chapter of the Shujing (Classic of Documents), wuxing refers to material substances that have certain functional attributes: water is said to soak and descend; fire is said to blaze and ascend; wood is said to curve or be straight; metal is said to obey and change; earth is said to take seeds and give crops. Wuxing is used as a set of numerological classifiers and explains the configuration of change on various scales. The so-called yinyang wuxing teaching – an “early Chinese attempt in the direction of working out metaphysics and a cosmology” (Chan 1963: 245) – was a fusion of these two conceptual schemes applied to astronomy and the mantic arts.

3. Yinyang as Qi (Vital Energy)

The most enduring interpretation of yinyang in Chinese thought is related to the concept of qi (ch’i, vital energy). According to this interpretation, yin and yang are seen as qi (in both yin and yang forms) operating in the universe. In the “Duke Shao” chapter of the Zuozhuan (The Book of History), yin and yang are first defined as two of six heavenly qi:

There are six heavenly influences [qi] which descend and produce the five tastes, go forth in the five colours, and are verified in the five notes; but when they are in excess, they produce the six diseases. Those six influences are denominated the yin, the yang, wind, rain, obscurity, and brightness. In their separation, they form the four seasons; in their order, they form the five (elementary) terms. When any of them is in excess, they ensure calamity. An excess of the yin leads to diseases of cold; of the yang, to diseases of heat. (Legge 1994: 580).

Here, yin and yang are the qi of the universe. These qi flow within the natural as well as the human worlds. They are the basic fabric of existence:

Heaven and earth have their regular ways, and men like these for their pattern, imitating the brilliant bodies of Heaven, and according with the natural diversities of the Earth. (Heaven and Earth) produce the six atmospheric conditions [qi], and make use of the five material elements. Those conditions (and elements) become the five tastes, are manifested in the five colours, and displayed in the five notes. When they are in excess, there ensue obscurity and confusion, and people lose their (proper) nature… There were mildness and gentleness kindness and harmony, in imitation of the producing and nourishing action of Heaven. There are love and hatred, pleasure and anger, grief and joy, produced by the six atmosphere conditions [qi]. Therefore (the sage kings) carefully imitated these relations and analogies (in forming ceremonies), to regulate those six impulses…When there is no failure in the joy and grief, we have a state in harmony with the nature of Heaven and Earth, which consequently can endure long. ( Legge 1994: 708).

Thus qi, a force arising from the interplay between yin and yang, becomes a context in which yinyang is seated and functions. Yinyang as qi provides an explanation of the beginning of the universe and serves as a building block of the Chinese intellectual tradition. In many earlier texts, one may observe how yinyang generates a philosophical perspective on heaven, earth and human beings. Chapter 42 of the Laozi says that “everything is embedded in yin and embraces yang; through chong qi [vital energy] it reaches he [harmony].” It is through yinyang’s function as qi and the interaction between them that everything comes into existence. Zhuangzi also speaks about the “qi of yin and yang”: “When the qi of yin and yang are not in harmony, and cold and heat come in untimely ways, all things will be harmed.” (Zhuangzi ch. 31) On the other hand, “when the two have successful intercourse and achieve harmony, all things will be produced.” (Zhuangzi ch. 21)

The interpretation of yinyang as qi conceives yinyang as a dynamic and natural form of flowing energy, a complementary in the primordial potency of the universe. The Huainanzi offers more detailed explanation of the cosmological process of yin and yang:

When heaven and earth were formed, they divided into yin and yang. Yang is generated [sheng] from yin and yin is generated from yang. Yin and yang mutually alternate which makes four fields [wei, “celestial circles”] penetrate. Sometimes there is life, sometimes there is death, that brings the myriad things to completion. (ch. 2)

This process also explains the beginning of human life. When qi moved, the clear and light rose to be heaven and the muddy and heavy fell to become earth. When these two qi interacted and attained the stage of harmony (he), human life began. This shows that everything is made from the same materials and difference relies on the interaction.

Qi also takes on various forms and is convertible from one form to another with order and pattern. The concept of yinyang supplies a unitary vision of heaven, earth and human beings and makes the world intelligible in terms of a resonance between human beings and the universe. The Guoyu (Discourses of the States) describes how earthquakes took place at the confluence of the Jing, Wei, and Lou rivers during the second year of Duke You of the western Zhou dynasty. A certain Boyang Fu claims that the Zhou empire is doomed to collapse, explaining that

The qi of heaven and earth can’t lose its order. If its order vanishes people will be disoriented. Yang was stuck and could not get out, yin was suppressed and could not evaporate, so an earthquake was inevitable. Now the earthquakes around the three rivers are due to yang losing its place and yin being pressed down. Yang is forsaken under yin so the source of rivers has been blocked. If the foundation of rivers is blocked the country will definitely collapse. This is because of the fact that the flowing water and flourishing land are necessities for the people’s lives. If the water and land cannot sustain the people’s living conditions, the country will inevitably fall. (Discourse of the States 1994: 22).

Not only does this ¬yinyang-flavored explanation claim to illuminate natural phenomena, it also implies that there is an intrinsic relationship between natural events and political systems. Human beings, especially political leaders, must align their virtuous actions with the morally-oriented universe. If they follow and harmonize with (shun) the order and patterns of the universe, they will be rewarded with prosperity and flourishing, but if they go against and conflict with (ni) it, they will be punished with disasters and destruction. Whether one engages in shun or ni depends upon whether yin and yang are in a state of balance. Thus, yinyang provides a heuristic outlook for human understanding as well as ethical guidance for achieving harmony in action. As chapter 8 of the Huainanzi claims:

Yinyang embodies the harmony of heaven and earth, manifests the forms of myriad things, contains qi to transform the things and completes various kinds of things; yinyang extends and penetrates to the deepest level; begins in emptiness then becomes full and moves in boundless lands.

4. Yinyang as Xingzi (Concrete Substance)

Yinyang also has been understood as some concrete substance (xingzhi), according to which yixing and yangxing define everything in the universe. In the Yijing (I-Ching, The Book of Changes), yinyang is presented as xingzhi. Yang was identified with the sun and yin with the moon:

Heaven and earth correlate with vast and profound; four seasons correlate with change and continuity [biantong]; the significance of yin and yang correlate with sun and moon; the highest excellence [zhide] correlates the goodness of easy and simple.(Sishu wujing 1990: 197)

The Guanzi, an important work of the Huang-Lao school, discusses this view along the same lines: “The sun is in charge of yang, the moon is in charge of yin, the stars are in charge of harmony [he].” (Guanzi 2000: 151). This xingzhi interpretation materializes the concept of yinyang in some concrete contexts and shows that the universe is orderly, moral and gendered. The pattern of the world is written in a gendered language. Yinyang is something one can see, feel, and grasp through the senses. For example, in the Liji (Book of Ritual), music represents the he (harmony) of heaven and earth, while li (ritual) represents the order of heaven and earth: “Music is coming from yang, ritual is coming from yin. The harmony of yinyang receives the myriad things.” (Sishu wujing 1990: 525) In the human world, male as yang should be cultivated, otherwise the day will suffer; female as yin should be cultivated too, otherwise the moon will be affected.

According to Dong Zhongshu, (195-115 BCE), both Tian (heaven) and human beings have yinyang. Therefore, there is an intrinsic connection between tian and human beings through the movement of yin and yang. Yinyang is an essential vehicle for interactions between heaven and human beings: “The qi of yinyang moves heaven above as well as in human beings. When it is among human beings it is displayed itself as like, dislike, happy and mad, when it is in heaven it is seen as warm, chilly, cold and hot.” (Dong Zhongshu 1996: 436) In Dong’s cosmological vision, the whole universe is a giant yinyang. One of many examples of this vision is Dong’s proposal to control floods and prevent droughts by proper human interaction. In chapter 74 (“Seeking the Rain”) of his Luxuriant Gems of the Spring and Autumn, Dong asserts that a spring drought indicates too much yang and not enough yin. So one should “open yin and close yang” (1996: 432) He suggests that the government should have the south gate closed, which is in the direction of yang. Men, embodying yang, should remain in seclusion. Women, embodying yin, should appear in public. He even requests all married couples to copulate (ouchu) to secure more yinyang intercourse. It is also important during this time to make women happy. (1996: 436) In chapter 75 (“Stopping the Rain”), Dong alleges that the flood proves there is too much yin so one should “open yang and close yin” (1996: 438). The north gate, the direction of yin, should be wide open. Women should go into concealment and men should be visible. Officers in the city should send their wives to the countryside in order to make sure that yin will not conquer yang. Derk Bodde defines this practice as a “sexual sympathetic magic.” (Bodde 1981: 373)

Finally, yinyang also plays a pivotal role in traditional Chinese thought about health and the human body. The early medical text known as the Huangdi neijing (The Yellow Emperor’s Classic of Internal Medicine) provides a detailed account of physiological functions and pathological changes in the body and guidance for diagnosis and treatment in terms of yinyang. Five zang (organs) — the kidneys, liver, heart, spleen and lungs — are classified as yin. They control the storage of vital substance and qi. Six fu (organs) — the gallbladder, stomach, small and large intestines, urinary bladder and triple burner (referring to three parts of the body cavity: the upper burner, which houses the heart and lungs; the middle burner, which houses the spleen and stomach; and the lower burner, which houses the kidney, urinary bladder and small and large intestines) — are yang and control the transport and digestion of food. The storage is a yin function, and the transport and transformation of substance is a yang function. But the zang and fu organs can be further subdivided into yin and yang. The activity or function of each organ is its yang aspect, while its substance is its yin aspect. Yin should flow smoothly and yang should vivify steadily. They regulate themselves so as to maintain equilibrium. Yin and yang do not exist in isolation but are in a dynamic state in which they interact and fashion the complicated and intricate system of the human body.

5. The Yinyang Symbol

There is no a clear and definite way to determine the exact date of origin or the person who created the popular yinyang symbol. No one has ever claimed specific ownership of this popular image. However, there is a rich textual and visual history leading to its creation. Inspired by a primeval vision of cosmic harmony, Chinese thinkers have sought to codify this order in various intellectual constructions. Whether to formulate this underlying pattern through words and concepts or numbers and visual images has been debated since the Han dynasty. The question first surfaced in the interpretation of the Yijing. The Yijing is constructed around sixty-four hexagrams (gua), each of which is made of six parallel broken or unbroken line segments (yao). Each of the sixty-four hexagrams has a unique designation; its image (xiang) refers to a particular natural object and conveys the meaning of human events and activities. The Yijing thus has generated a special way to decipher the universe. It mainly incorporates three elements: xiang (images), shu (numbers), and li (meanings). They act as the mediators between heavenly cosmic phenomena and earthly human everyday life. From the Han dynasty through the Ming and Qing dynasties (1368-1912 CE), there was a consistent tension between two schools of thought: the school of xiangshu (images and numbers) and the school of yili (meanings and reasoning). At issue between them is how best to interpret the classics, particularly the Yijing. The question often was posed as: “Am I interpreting the six classics or are the six classics interpreting me?”

For the school of Xiangshu the way to interpret the classics is to produce a figurative and numerological representation of the universe through xiang (images) and shu (numbers). It held that xiangshu are indispensable structures expressing the Way of heaven, earth and human being. Thus the school of Xiangshu takes the position that “I interpret the classics” by means of the images and numbers. The emphasis is on the appreciation of classics. The school of Yili, on the other hand, focuses on an exploration of the meanings of the classics on the basis of one’s own reconstruction. In other word, the school of Yili treats all classics as supporting evidence for their own ideas and theories. The emphasis is more on idiosyncratic new theories rather than the explanation of the classics. In what follows, our inquiry focuses on the legacy of the Xiangshu school.

The most common effort of the Xiangshu school was to draw tu (diagrams). Generations of intellectuals labored on the formulation and creation of numerous tu. Tu often delineate structure, place, and numbers through black and white lines. They are not aesthetic objects but rather serve as a means of articulating the fundamental patterns that govern phenomena in the universe. Tu are universes in microcosm and demonstrate obedience to definite norms or rules. During the Song dynasty (960-1279 CE), the Daoist monk Chen Tuan (906-989 CE) made an important contribution to this tradition by drawing a few tu in order to elucidate the Yijing. Though none of his tu were directly passed down, he is considered the forerunner of the school of tushu (diagrams and writings). It is said that he left behind three tu; since his death, attempting to discover these tu has become a popular scholarly pursuit. After Chen Tuan, three trends in making tu emerged, exemplified by the work of three Neo-Confucian thinkers: the Hetu (Diagram of River) and Luoshu (Chart of Luo) ascribed to Liu Mu (1011-1064 CE), the Xiantian tu (Diagram of Preceding Heaven) credited to Shao Yong (1011-1077 CE), and the Taijitu (Diagram of the Great Ultimate) attributed to Zhou Dunyi (1017-1073 CE). These three trends eventually led to the creation of the first yinyang symbol by Zhao Huiqian (1351-1395 CE), entitled Tiandi Zhiran Hetu (Heaven and Earth’s Natural Diagram of the River) and pictured above at the head of this entry.

6. References and Further Reading
Bennett, Steven J. “Patterns of the Sky and the Earth: A Chinese Science of Applied Cosmology.” Chinese Science (March 1978) 3: 1-26.
Chan, Wing-tsit, ed. A Source Book in Chinese Philosophy. Princeton, NJ: Princeton University Press, 1963.
Bodde, Derk. Essays on Chinese Civilization. Princeton, NJ: Princeton University Press, 1981.
Dong, Zhongshu. Luxuriant Gems of the Spring and Autumn. Ed. Su Xing. Beijing: Chinese Press, 1996.
Fung, Yu-lan. A Short History of Chinese Philosophy. Trans. Derk Bodde. New York: The Free Press, 1997.
Graham, A.C. Yin-Yang and the Nature of Correlative Thinking. Singapore: The Institute of East Asian Philosophies, 1986.
Guanzi. Ed. Guan Bo. Beijing: Hua Xia Press, 2000.
Guoyu (Discourse of the States). Eds. Wu Guoyi, Hu Guowen and Li Xiaolu. Shanghai: Guji Press, 1994.
Huainanzi. Ed. Liu An. Xi’an: Sanqing Press, 1998.
Henderson, John B. The Development and Decline of Chinese Cosmology. New York: Columbia University Press, 1984.
Inoue, Satoshi. Xianqin Yinyang Wuxing (Pre-Qin Yinyang and Five Phases). Hubei: Education Press, 1997.
Kohn, Livia. “Ying and Yang: The Natural Dimension of Evil.” In Philosophies of Nature: The Human Dimension, eds. Robert S. Cohen and Alfred I. Tauber (New York: Kluwer Academic Publishers, 1997), 91-106.
Legge, James. The Chinese Classics: The Ch’un Ts’ew, with Tso Chuen. Taipei: SMC Publishing Inc., 1994.
Li, Shen and Guo Yu, eds. The Complete Selection of Diagrams of Zhouyi. Shanghai: China Eastern Normal University Press, 2004.
Makeham, John. Transmitters and Creators: Chinese Commentators and Commentaries on the Analects. Harvard East Asian Monographs, no. 228. Cambridge, MA: Harvard University Press, 2003.
Needham, Joseph. Science and Civilization in China. Cambridge: Cambridge University Press, 1956.
Porkert, Manfred. The Theoretical Foundations of Chinese Medicine: Systems of Correspondence. Cambridge, MA: MIT Press, 1974.
Puett, Michael J. To Become a God: Cosmology, Sacrifice and Self-Divination in Early China. Cambridge: Harvard University Press, 2002.
Roth, Harold D. Original Tao: Inward Training (Nei-yeh) and the Foundations of Taoist Mysticism. New York: Columbia University Press, 1999.
Rubin, Vitaly A. “The Concepts of Wu-Hsing and Yin-Yang,” Journal of Chinese Philosophy 9 (1982): 131-157.
Sishu wujing (Four Books and Five Classics). China: Yuling Press, 1990.
Yabuuti, Kiyosi. “Chinese Astronomy: Development and Limiting Factors.” In Chinese Science: Explorations of an Ancient Tradition, eds. Shigeru Nakayama and Nathan Sivin (Cambridge, MA: MIT Press, 1973), 91-103.
Yang, Xuepeng. Yinyang Qi yu Bianliang (Yinyang Qi and Changes). Beijing: Chinese Science Press, 1993.
Yates, Robin D.S. Five Lost Classics: Tao, Huang-Lao, and Yin-yang in Han China. New York: Ballantine Books, 1997.
Zhuangzi. Ed. Chen Guying. Beijing: Chinese Press, 1983.

Author Information

Robin R. Wang
Email: rwang@lmu.edu
Loyola Marymount University
Categories: Chinese Philosophy

 

 

6
I CHING
50
41
5

 

 

4
MALE
31
13
4
6
FEMALE
42
24
6
10
First Total
73
37
10
1+0
Add to Reduce
7+3
3+7
1+0
1
Second Total
10
10
1
-
Reduce to Deduce
1+0
1+0
-
1
Essence of Number
1
1
1

 

 

2
HE
13
13
4
3
SHE
32
14
5
5
Add to Reduce
45
27
9
-
Reduce to Deduce
4+5
2+7
-
5
Essence of Number
9
9
9

 

 

3
ONE
34
16
7
4
ZERO
64
28
1
7
First Total
98
44
8
-
Add to Reduce
9+8
4+4
-
7
Second Total
17
8
8
-
Reduce to Deduce
1+7
-
-
7
Essence of Number
8
8
8

 

 

3
ONE
34
16
7
3
AND
19
10
1
4
ZERO
64
28
1
4
ZERO
64
28
1
3
AND
19
10
1
3
ONE
34
16
7
20
Add to Reduce
234
108
18
2+0
Reduce to Deduce
2+3+4
1+0+8
1+8
2
Essence of Number
9
9
9

 

 

7
NOTHING
87
42
6
11
NOTHINGNESS
144
54
9

 

 

-
11
N
O
T
H
I
N
G
N
E
S
S
-
-
-
-
-
--
-
-
-
-
-
-
5
6
-
8
9
5
-
5
-
1
1
+
=
40
4+0
=
4
=
4
=
4
-
-``
14
15
-
8
9
14
-
14
-
19
19
+
=
112
1+1+2
=
4
=
4
=
4
-
11
N
O
T
H
I
N
G
N
E
S
S
-
-
-
-
-
--
-
-
-
-
-
-
-
-
2
-
-
-
7
-
5
-
-
+
=
14
1+4
=
5
=
5
=
5
-
-
-
-
20
-
-
-
7
-
5
-
-
+
=
32
3+2
=
5
=
5
=
5
-
11
N
O
T
H
I
N
G
N
E
S
S
-
-
-
-
-
--
-
-
-
-
-
-
14
15
20
8
9
14
7
14
5
19
19
+
=
144
1+4+4
=
9
=
9
=
9
-
-
5
6
2
8
9
5
7
5
5
1
1
+
=
54
5+4
=
9
=
9
=
9
-
11
N
O
T
H
I
N
G
N
E
S
S
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
1
-
-
1
occurs
x
2
=
2
=
2
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
THREE
3
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
-
-
5
-
-
-
-
5
-
5
5
-
-
-
-
5
occurs
x
4
=
20
2+0
2
-
-
-
6
-
-
-
-
-
-
-
-
-
-
-
6
occurs
x
1
=
6
=
6
-
-
-
-
-
-
-
-
7
=-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
-
-
9
-
-
-
=-
-
-
-
-
9
occurs
x
1
=
9
=
9
7
11
N
O
T
H
I
N
G
N
E
S
S
-
-
38
-
-
11
-
54
-
36
-
1+1
--
-
-
-
9
-
-
-
-
-
-
-
-
3+8
-
-
1+1
-
5+4
-
3+6
7
2
N
O
T
H
I
N
G
N
E
S
S
-
-
11
-
-
2
-
9
-
9
-
-
5
6
2
8
9
5
7
5
5
1
1
-
-
1+1
-
-
-
-
-
-
-
7
2
N
O
T
H
I
N
G
N
E
S
S
-
-
2
-
-
2
-
9
-
9

 

 

11
N
O
T
H
I
N
G
N
E
S
S
-
-
-
-
-
--
-
-
-
-
-
5
6
-
8
9
5
-
5
-
1
1
+
=
40
4+0
=
4
=
4
=
4
-``
14
15
-
8
9
14
-
14
-
19
19
+
=
112
1+1+2
=
4
=
4
=
4
11
N
O
T
H
I
N
G
N
E
S
S
-
-
-
-
-
--
-
-
-
-
-
-
-
2
-
-
-
7
-
5
-
-
+
=
14
1+4
=
5
=
5
=
5
-
-
-
20
-
-
-
7
-
5
-
-
+
=
32
3+2
=
5
=
5
=
5
11
N
O
T
H
I
N
G
N
E
S
S
-
-
-
-
-
--
-
-
-
-
-
14
15
20
8
9
14
7
14
5
19
19
+
=
144
1+4+4
=
9
=
9
=
9
-
5
6
2
8
9
5
7
5
5
1
1
+
=
54
5+4
=
9
=
9
=
9
11
N
O
T
H
I
N
G
N
E
S
S
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
1
-
-
1
occurs
x
2
=
2
=
2
-
-
-
2
-
-
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
5
-
-
-
-
5
-
5
5
-
-
-
-
5
occurs
x
4
=
20
2+0
2
-
-
6
-
-
-
-
-
-
-
-
-
-
-
6
occurs
x
1
=
6
=
6
-
-
-
-
-
-
-
7
=-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
-
-
8
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
-
9
-
-
-
=-
-
-
-
-
9
occurs
x
1
=
9
=
9
11
N
O
T
H
I
N
G
N
E
S
S
-
-
38
-
-
11
-
54
-
36
1+1
--
-
-
-
9
-
-
-
-
-
-
-
-
3+8
-
-
1+1
-
5+4
-
3+6
2
N
O
T
H
I
N
G
N
E
S
S
-
-
11
-
-
2
-
9
-
9
-
5
6
2
8
9
5
7
5
5
1
1
-
-
1+1
-
-
-
-
-
-
-
2
N
O
T
H
I
N
G
N
E
S
S
-
-
2
-
-
2
-
9
-
9

 

 

5
WORDS
79
25
7
3
AND
19
10
1
7
NUMBERS
92
29
2
15
First Total
190
64
10
1+5
Add to Reduce
1+9+0
6+4
1+0
6
Second Total
10
10
1
-
Reduce to Deduce
1+0
1+0
-
6
Essence of Number
1
1
1

 

 

1
I
9
9
9
4
PLAY
54
18
5
5
CHESS
54
18
9

 

 

4
SELF
-
-
-
1
S
19
10
1
2
E+L+F
23
14
5
4
SELF
42
24
6
-
-
4+2
2+4
-
4
SELF
6
6
6

 

 

4
SELF
-
-
-
1
S
19
10
1
2
E
5
5
5
2
L+F
18
9
9
4
SELF
42
24
15
-
-
4+2
2+4
1+5
4
SELF
6
6
6

 

 

7
READING
58
40
4
7
WRITING
100
46
1

 

 

3
THE
33
15
6
8
DREAMING
71
44
8
4
MIND
40
22
4
15
Add to Reduce
144
81
18
1+5
Reduce to Deduce
1+4+4
8+1
1+8
6
Essence of Number
9
9
9

 

 

-
15
T
H
E
D
R
E
A
M
I
N
G
-
M
I
N
D
-
-
-
-
-
--
-
-
-
-
-
-
-
8
-
-
-
-
-
-
9
5
-
-
-
9
5
-
+
=
36
3+6
=
9
=
9
=
9
-
-
-
8
-
-
-
-
-
-
9
14
-
-
-
9
14
-
+
=
54
5+4
=
9
=
9
=
9
-
15
T
H
E
D
R
E
A
M
I
N
G
-
M
I
N
D
-
-
-
-
-
--
-
-
-
-
-
-
2
-
5
4
9
5
1
4
-
-
7
-
4
-
-
4
+
=
45
4+5
=
9
=
9
=
9
-
-
20
-
5
4
18
5
1
13
-
-
7
-
13
-
-
4
+
=
90
9+0
=
9
=
9
=
9
-
15
T
H
E
D
R
E
A
M
I
N
G
-
M
I
N
D
-
-
-
-
-
--
-
-
-
-
-
-
20
8
5
4
18
5
1
13
9
14
7
-
13
9
14
4
+
=
144
1+4+4
=
9
=
9
=
9
-
-
2
8
5
4
9
5
1
4
9
5
7
-
4
9
5
4
+
=
81
8+1
=
8
=
9
=
9
-
15
T
H
E
D
R
E
A
M
I
N
G
-
M
I
N
D
-
-
-
-
-
-
-
-
-
-
-
=
=
=
=
=
=
=
-
1
-
-
-
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
THREE
3
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
4
-
-
-
-
4
-
-
4
-
-
4
occurs
x
4
=
16
1+6
7
-
-
-
-
5
-
--
-
5
-
-
-
5
-
-
-
-
5
-
-
-
5
occurs
x
4
=
20
2+0
2
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
SIX
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
-
-
-
9
-
-
-
9
-
-
-
-
9
-
-
-
-
9
occurs
x
3
=
27
2+7
9
9
15
T
H
E
D
R
E
A
M
I
N
G
-
M
I
N
D
-
-
36
-
-
15
-
81
-
36
-
1+5
-
-
-
-
--
9
-
-
-
9
-
-
-
-
9
-
-
-
-
3+6
-
-
1+5
-
8+1
-
3+6
9
6
T
H
E
D
R
E
A
M
I
N
G
-
M
I
N
D
-
-
9
-
-
6
-
9
-
9
-
-
2
8
5
4
9
5
1
4
9
5
7
-
4
9
5
4
-
-
-
-
-
-
-
-
-
-
9
6
T
H
E
D
R
E
A
M
I
N
G
-
M
I
N
D
-
-
9
-
-
6
-
9
-
9

 

 

15
T
H
E
D
R
E
A
M
I
N
G
-
M
I
N
D
-
-
-
-
-
--
-
-
-
-
-
-
8
-
-
-
-
-
-
9
5
-
-
-
9
5
-
+
=
36
3+6
=
9
=
9
=
9
-
-
8
-
-
-
-
-
-
9
14
-
-
-
9
14
-
+
=
54
5+4
=
9
=
9
=
9
15
T
H
E
D
R
E
A
M
I
N
G
-
M
I
N
D
-
-
-
-
-
--
-
-
-
-
-
2
-
5
4
9
5
1
4
-
-
7
-
4
-
-
4
+
=
45
4+5
=
9
=
9
=
9
-
20
-
5
4
18
5
1
13
-
-
7
-
13
-
-
4
+
=
90
9+0
=
9
=
9
=
9
15
T
H
E
D
R
E
A
M
I
N
G
-
M
I
N
D
-
-
-
-
-
--
-
-
-
-
-
20
8
5
4
18
5
1
13
9
14
7
-
13
9
14
4
+
=
144
1+4+4
=
9
=
9
=
9
-
2
8
5
4
9
5
1
4
9
5
7
-
4
9
5
4
+
=
81
8+1
=
8
=
9
=
9
15
T
H
E
D
R
E
A
M
I
N
G
-
M
I
N
D
-
-
-
-
-
-
-
-
-
-
=
=
=
=
=
=
=
-
1
-
-
-
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
-
-
4
-
-
-
4
-
-
-
-
4
-
-
4
-
-
4
occurs
x
4
=
16
1+6
7
-
-
-
5
-
--
-
5
-
-
-
5
-
-
-
-
5
-
-
-
5
occurs
x
4
=
20
2+0
2
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
-
-
9
-
-
-
9
-
-
-
-
9
-
-
-
-
9
occurs
x
3
=
27
2+7
9
15
T
H
E
D
R
E
A
M
I
N
G
-
M
I
N
D
-
-
36
-
-
15
-
81
-
36
1+5
-
-
-
-
--
9
-
-
-
9
-
-
-
-
9
-
-
-
-
3+6
-
-
1+5
-
8+1
-
3+6
6
T
H
E
D
R
E
A
M
I
N
G
-
M
I
N
D
-
-
9
-
-
6
-
9
-
9
-
2
8
5
4
9
5
1
4
9
5
7
-
4
9
5
4
-
-
-
-
-
-
-
-
-
-
6
T
H
E
D
R
E
A
M
I
N
G
-
M
I
N
D
-
-
9
-
-
6
-
9
-
9

 

 

 

 
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