Original writings by Avi Sion on the theory and practice of inductive and deductive LOGIC  

The Logician   … Philosophy, Epistemology, Phenomenology, Aetiology, Psychology, Meditation …

Home Future Logic Phenomenology Judaic Logic Buddhist Illogic Logic of Causation Volition & Allied Ruminations Meditations Reflections Other Writings General Sitemap Search Facility

www.TheLogician.net                                © Avi Sion - all rights reserved

Home
Return

The Logician

© Avi Sion

All rights reserved

General Sitemap

Search

Contact

 

THE LOGIC OF CAUSATION

© Avi Sion, 2003. All rights reserved.

 

Phase Two: Microanalysis

Appendix 2 -  Grand Matrices

 

For a fuller account of this topic, see Chapter 12.

 

1.    Catalogue of moduses for the four conjunctions of two items (P, R).

 

Row

Items

**

Possible moduses, labeled 2-15

label

P

R

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

a

1

1

0

0

0

0

0

0

0

0

1

1

1

1

1

1

1

1

b

1

0

0

0

0

0

1

1

1

1

0

0

0

0

1

1

1

1

c

0

1

0

0

1

1

0

0

1

1

0

0

1

1

0

0

1

1

d

0

0

0

1

0

1

0

1

0

1

0

1

0

1

0

1

0

1

** Column labeled No. 1 is an impossible modus.

 

 

2.    Catalogue of moduses for the eight conjunctions of three items (P, Q, R).

 

Items

**

Possible moduses, labeled 2-16

P

(Q)

R

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

1

1

1

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

1

1

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

1

0

1

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

1

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

1

1

0

0

0

0

0

0

0

0

1

1

1

1

1

1

1

1

0

1

0

0

0

0

0

1

1

1

1

0

0

0

0

1

1

1

1

0

0

1

0

0

1

1

0

0

1

1

0

0

1

1

0

0

1

1

0

0

0

0

1

0

1

0

1

0

1

0

1

0

1

0

1

0

1

** Column labeled No. 1 is an impossible modus.

Same table continued.

Items

Moduses, labeled 17-32

P

(Q)

R

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

1

1

1

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

1

1

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

1

0

1

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

1

0

0

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

0

1

1

0

0

0

0

0

0

0

0