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

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Grand Matrix

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The Logic of Causation is now available in print (386p. A4) in hardcover ($40) and paperback ($25) editions (plus shipping expenses),
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THE LOGIC OF CAUSATION

© Avi Sion, 2003, 2005. All rights reserved.

 

Phase Two: Microanalysis

 

Seeing various difficulties encountered in the first phase, and the fact that some issues were left unresolved in it, a more precise method is developed in the second phase, capable of systematically answering most outstanding questions. This improved matricial analysis (microanalysis) is based on tabular prediction of all logically conceivable combinations and permutations of conjunctions between two or more items and their negations (grand matrices). Each such possible combination is called a ‘modus’ and is assigned a permanent number within the framework concerned (for 2, 3, or more items). This allows us to identify each distinct (causative or other, positive or negative) propositional form with a number of alternative moduses.

This technique greatly facilitates all work with causative and related forms, allowing us to systematically consider their eductions, oppositions, and syllogistic combinations. In fact, it constitutes a most radical approach not only to causative propositions and their derivatives, but perhaps more importantly to their constituent conditional propositions. Moreover, it is not limited to logical conditioning and causation, but is equally applicable to other modes of modality, including extensional, natural, temporal and spatial conditioning and causation. From the results obtained, we are able to settle with formal certainty most of the historically controversial issues relating to causation.

 

11. Piecemeal Microanalysis

12. Systematic Microanalysis

13. Some More Microanalyses

14. Main Three-Item Syllogisms

15. Some More Three-Item Syllogisms

16. Outstanding Issues

 

Appendix:

Grand Matrices

 

Full list of Tables and Diagrams

 

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