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THE LOGIC OF CAUSATION

© Avi Sion, 1999, 2000; 2003, 2005; 2008, 2010  All rights reserved.

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THE LOGIC OF CAUSATION

Tables and Diagrams

In Phase I

In Phase II

In Phase III

The tables and diagrams in this phase can be found in their respective chapters adjacent to the relevant text.

Table 2.1.            Complete causation.
Table 2.2.            Necessary causation.
Table 2.3.            Partial causation.
Table 2.4.            Contingent causation.
Table 3.1.            Possible specifications of the 4 generic determinations.
Table 3.2.            Complete necessary causation.
Table 3.3.            Complete contingent causation.
Table 3.4.            Partial necessary causation.
Table 3.5.            Partial contingent causation.
Table 5.1.            The figures of (three-item) syllogism.
Table 5.2.            Subfigures of each figure.
Table 5.3.            Determinations found in each subfigure.
Table 5.4.            Subfigures, modes and moods.
Table 5.5.            Mood numbers in each figure.
Table 5.6.            For each figure, mood numbers and determinations of major and minor premises.
Table 7.1.            Implications between premises of moods, in all figures.
Diagram 7.1.       Pathways of Reduction, for Validation (right) and Invalidation (left).
Table 7.2.            For each mood (central col.), those which imply it and those it implies.
Table 7.3.            Sources of validity or invalidity in figure 1.
Table 7.4.            Sources of validity or invalidity in figure 2.
Table 7.5.            Sources of validity or invalidity in figure 3.

The tables and diagrams in this phase can be found in their respective chapters adjacent to the relevant text.

Table 8.1.              Evaluation of mood # 117.
Table 8.2.              Evaluation of mood # 124.
Table 8.3.              Evaluation of mood # 125.
Table 8.4.              Evaluation of mood # 126.
Table 8.5.              Evaluation of mood # 127.
Table 8.6.              Evaluation of mood # 128.
Table 8.7.              Evaluation of mood # 145.
Table 8.8.              Evaluation of mood # 147.
Table 8.9.              Evaluation of mood # 152.
Table 8.10.            Evaluation of mood # 153.
Table 8.11.            Evaluation of mood # 154.
Table 8.12.            Evaluation of mood # 155.
Table 8.13.            Evaluation of mood # 171.
Table 8.14.            Evaluation of mood # 174.
Table 8.15.            Evaluation of mood # 177.
Table 8.16.	Evaluation of mood 221.
Table 8.17.	Evaluation of mood 222.
Table 8.18.	Evaluation of mood 224.
Table 8.19.	Evaluation of mood 241.
Table 8.20.	Evaluation of mood 244.
Table 8.21	Evaluation of mood # 312.
Table 8.22	Evaluation of mood # 314.
Table 8.23	Evaluation of mood # 324.
Table 8.24	Evaluation of mood # 344.
Table 8.25	Evaluation of mood # 352.
Table 9.1.	Valid and Invalid Moods.
Table 9.2.	Valid Positive Moods, Primaries and Secondaries.
Table 9.3	Valid Negative Moods, Primaries only.
Table 9.4.	Positive (generic and/or joint) premises whose conclusion includes additional negative elements.
Table 9.5	Positive moods with a negative conclusion.
Table 9.6.               Imperfect subfigures of each figure.
Table 9.7.               Reductions of Moods between Figures.
Table 11.1.	Matrix of “P is a complete cause of R”.
Table 11.2.	Matrix of “P is a necessary cause of R”.
Table 11.3.            Matrix of “P (complemented by Q) is a partial cause of R”.
Table 11.4.	Matrix of “P (complemented by Q) is a contingent cause of R”.
Table 11.5.	Matrix of “P is a partial cause of R”.
Table 11.6.	Matrix of “P is a contingent cause of R”.
Table 11.7.	Summary moduses for the six generic determinations of form PR or PQR.
Table 12.1.	Catalogue of moduses for the four conjunctions of two items (P, R).
Table 12.2.	Enumeration of two-item moduses for the strong or absolute weak determinations and their derivatives (form PR).
Table 12.3.	Catalogue of moduses for the eight conjunctions of three items (P, Q, R).
Table 12.4.	Enumeration of three-item moduses for the generic determinations and their derivatives (form PR).
Table 12.5.	Numbers of Moduses for Positive Forms, in Different Frameworks.
Table 12.6.	Correspondences between two- and three item frameworks.
Table 13.1.	Enumeration of three-item moduses for the relative weak determinations and their derivatives (form PQR).
Table 13.2.	Row references in a standard (PR) matrix for different polarities of items.
Table 13.3.	Enumeration of moduses of positive generic forms with different polarities of items, with reference to standard two-item (PR) grand matrix.
Table 13.4.	Enumeration of moduses of strong and absolute weak determinations with different polarities of items, with reference to standard three-item (PQR) grand matrix.
Table 13.5.	Oppositions between mPR and the other generic forms.
Table 13.6.	Oppositions between pPR and the other generic forms.
Table 13.7.	Enumeration of moduses of relative weak determinations with different polarities of items, with reference to standard three-item (PQR) grand matrix.
Table 13.8.	Oppositions between pPQR and the other relative weaks.
Table 13.9.	Catalogue of moduses for a single item (P).
Table 13.10.	Enumeration of moduses of positive and negative categoricals in a two-item (PR) framework.
Table 13.11.	Enumeration of moduses of positive and negative conjunctions in a two-item (PR) framework.
Table 13.12.	Enumeration of moduses of positive and negative conditionals in a two-item (PR) framework.
Table 13.13.	Enumeration of moduses of positive and negative categoricals in a three-item (PQR) framework.
Table 13.14.	Enumeration of moduses of three item positive and negative conjunctives in a three-item (PQR) framework.
Table 13.15.	Enumeration of moduses of three item positive and negative conditionals in a three-item (PQR) framework.
Table 14.1.	Microanalysis of a mood - the example of mood 1/m/m (No. 155).
Diagram 14.1.       Premises and Conclusion.
Table 14.2.	Three-item summary moduses for strong or absolute weak generic positive premises.
Table 14.3.	Enumeration of three-item alternative moduses for strong or absolute weak positive premises, generic or joint, for any figure of syllogism.
Table 14.4.	Moduses of conclusions of all syllogisms with strong or absolute weak positive premises, generic or joint.
Table 14.5.	Enumeration of three-item alternative moduses for vague positive premises, for any figure of syllogism.
Table 14.6.	Moduses of conclusions for selected vague positive premises.
Table 15.1.	Subfigures of syllogism with three items only.
Table 15.2.	Summary moduses for weak premises relative to the minor item P or to the major item R.
Table 15.3.	Enumeration of three-item alternative moduses weak positive premises relative to the minor item P or to the major item R.
Table 15.4.	Moduses of conclusions for selected relative weak positive minor premises (subfigures j, n).
Table 15.5.	Moduses of conclusions for selected relative weak positive major premises (subfigures k, o).
Table 15.6.	Moduses of conclusions for selected relative weak positive premises (subfigures l, p).
Table 15.7.	Moduses of conclusions for selected combinations of relative weak and absolute vague positive premises (various subfigures).
Table 15.8.	Enumeration of three-item alternative moduses for negative premises, for any figure of syllogism (generic forms).
Table 15.9.	Enumeration of three-item alternative moduses for negative premises, for any figure of syllogism (specific forms).
Table 15.10.	Moduses of conclusions for selected (generic, absolute) negative premises, in Figure 1.
Table 16.1.	Possible relations between any two items P and R.

Only the diagram and details of some of the tables were published in the printed edition. The full set of tables is posted here in .pdf format (click on links):

Table 17.1.             2-Item Matrix: 16 Moduses. (1 page in pdf file).
Table 17.2.             3-Item Matrix: 256 Moduses. (4 pages in pdf file).
Table 17.3.             4-Item Matrix: 65,536 Moduses. (565 pages in pdf file).
Table 17.4.             From 2 to 3 Items Moduses. (6 pages in pdf file).
Table 17.5.             From 3 to 4 Items Moduses – 1st part. (1192 pages in pdf file).
Table 17.6.             From 3 to 4 Items Moduses – 2nd part. (2792 pages in pdf file).
Table 18.1.             2-item PR Moduses of Forms. (6 pages in pdf file).
Table 18.2.             2-item PR Moduses of Forms – Formulae Used. (1 page in pdf file).
Table 18.3.             3-item PQR Moduses of Forms – Categoricals and Conditionals. (12 pages in pdf file).
Table 18.4.             3-item PQR Moduses of Forms – Causation. (18 pages in pdf file).
Table 18.5.             3-item PQR Moduses of Forms – Prevention. (18 pages in pdf file).
Table 18.6.             3-item PQR Moduses of Forms – Interpretation. (4 pages in pdf file).
Table 18.7.             3-item PQR Moduses of Forms – Formulae Used. (8 pages in pdf file).ecssolutions/
Table 18.8.             3-item PQR Moduses of Forms – Equivalences. (1 page in pdf file).
Table 18.9.             4-item PQR Moduses of Forms. (2408 pages in pdf file).
Table 18.10.           4-item PQR Moduses of Forms – Formulae Used. (3 pages in pdf file).
Table 19.1.             2-item PR Moduses of Forms – Strict Moduses. (1 page in pdf file).
Table 19.2.             3-item PQR Moduses of Forms – Strict Moduses. (5 pages in pdf file).
Table 20.1.             3-item PQR Moduses of Forms – Dependent Complements. (2 pages in pdf file).
Table 20.2.             3-item PQR Moduses of Forms – Exclusive Weak Causations. (4 pages in pdf file).
An additional table on complements: Comparison of Moduses of PQR and QPR Forms (3 pages in pdf file)
Table 21.1.             3-Item Syllogisms – First Figure Moods. (4 pages in pdf file).
Table 21.2.             3-Item Syllogisms – Second Figure Moods. (4 pages in pdf file).
Table 21.3.             3-Item Syllogisms – Third Figure Moods. (4 pages in pdf file).
Table 21.4.             3-Item Syllogisms – Formulas Used. (4 pages in pdf file).
Table 21.5.             4-Item Syllogisms – 3 Phases Compared Results. (4 pages in pdf file).
Table 21.6.             4-Item Syllogisms – First Figure Moods. (714 pages in pdf file).
Table 21.7.             4-Item Syllogisms – Second Figure Moods. (718 pages in pdf file).
Table 21.8.             4-Item Syllogisms – Third Figure Moods. (718 pages in pdf file).
Table 21.9.             4-Item Syllogisms – Formulae Used. (6 pages in pdf file).
Diagram 21.1.        Nil Conclusions are Not Reducible.
Table 21.10.           4-Item Syllogisms – Mixing Absolute and Relative Premises. (810 pages in pdf file).
Table 22.1 – 3-Item Causative Syllogisms – Premises and Conclusions Scanned. (16 pages in pdf file.)
Table 22.2 – 4-Item Causative Syllogisms – Premises and Conclusions Scanned. (3160 pages in pdf file.)
Table 22.3 – 3-Item Syllogism – Formulas Used for Oppositions. (2 pages in pdf file.)
Table 22.4 – 4-Item Syllogism – Formulas Used for Oppositions. (2 pages in pdf file.)
Table 22.5 – 3 and 4 Item Syllogisms – Oppositions between Conclusions. (1 page in pdf file.)
Table 22.6-0 – 3-Item Causative Syllogisms – Summary of Conclusions Scanned. (9 pages in pdf file.)
Table 22.6-1 – 3-Item Causative Syllogisms – Figure One – Scanning for Conclusions. (48 pages in pdf file.)
Table 22.6-2 – 3-Item Causative Syllogisms – Figure Two – Scanning for Conclusions. (48 pages in pdf file.)
Table 22.6-3 – 3-Item Causative Syllogisms – Figure Three – Scanning for Conclusions. (48 pages in pdf file.)
Table 22.6-4 – 3-Item Causative Syllogisms – Scanning Template (Sample of Formulas Used). (9 pages in pdf file.)
Table 22.7-0 – 4-Item Causative Syllogisms – Summary of Conclusions Scanned. (18 pages in pdf file.)
Table 22.7-11A – 4-Item Causative Syllogisms – Scanning Causative Conclusions to Moods 111-118. (1032 pages in pdf file.)
Table 22.7-11B – 4-Item Causative Syllogisms – Scanning Preventive Conclusions to Moods 111-118. (1041 pages in pdf file.)
Table 22.7-12A – 4-Item Causative Syllogisms – Scanning Causative Conclusions to Moods 121-128. (1720 pages in pdf file.)
Table 22.7-12B – 4-Item Causative Syllogisms – Scanning Preventive Conclusions to Moods 121-128. (1735 pages in pdf file.)
Table 22.7-13A – 4-Item Causative Syllogisms – Scanning Causative Conclusions to Moods 131-138. (1720 pages in pdf file.)
Table 22.7-13B – 4-Item Causative Syllogisms – Scanning Preventive Conclusions to Moods 131-138. (1735 pages in pdf file.)
Table 22.7-14A – 4-Item Causative Syllogisms – Scanning Causative Conclusions to Moods 141-148. (1720 pages in pdf file.)
Table 22.7-14B – 4-Item Causative Syllogisms – Scanning Preventive Conclusions to Moods 141-148. (1735 pages in pdf file.)
Table 22.7-15A – 4-Item Causative Syllogisms – Scanning Causative Conclusions to Moods 151-158. (1032 pages in pdf file.)
Table 22.7-15B – 4-Item Causative Syllogisms – Scanning Preventive Conclusions to Moods 151-158. (1041 pages in pdf file.)
Table 22.7-16A – 4-Item Causative Syllogisms – Scanning Causative Conclusions to Moods 161-168. (1032 pages in pdf file.)
Table 22.7-16B – 4-Item Causative Syllogisms – Scanning Preventive Conclusions to Moods 161-168. (1041 pages in pdf file.)
Table 22.7-17A – 4-Item Causative Syllogisms – Scanning Causative Conclusions to Moods 171-178. (1720 pages in pdf file.)
Table 22.7-17B – 4-Item Causative Syllogisms – Scanning Preventive Conclusions to Moods 171-178. (1735 pages in pdf file.)
Table 22.7-18A – 4-Item Causative Syllogisms – Scanning Causative Conclusions to Moods 181-188. (1720 pages in pdf file.)
Table 22.7-18B – 4-Item Causative Syllogisms – Scanning Preventive Conclusions to Moods 181-188. (1735 pages in pdf file.)
Table 22.7-21A – 4-Item Causative Syllogisms – Scanning Causative Conclusions to Moods 211-218. (1032 pages in pdf file.)
Table 22.7-21B – 4-Item Causative Syllogisms – Scanning Preventive Conclusions to Moods 211-218. (1041 pages in pdf file.)
Table 22.7-22A – 4-Item Causative Syllogisms – Scanning Causative Conclusions to Moods 221-228. (1720 pages in pdf file.)
Table 22.7-22B – 4-Item Causative Syllogisms – Scanning Preventive Conclusions to Moods 221-228. (1735 pages in pdf file.)
Table 22.7-23A – 4-Item Causative Syllogisms – Scanning Causative Conclusions to Moods 231-238. (1720 pages in pdf file.)
Table 22.7-23B – 4-Item Causative Syllogisms – Scanning Preventive Conclusions to Moods 231-238. (1735 pages in pdf file.)
Table 22.7-24A – 4-Item Causative Syllogisms – Scanning Causative Conclusions to Moods 241-248. (1720 pages in pdf file.)
Table 22.7-24B – 4-Item Causative Syllogisms – Scanning Preventive Conclusions to Moods 241-248. (1735 pages in pdf file.)
Table 22.7-25A – 4-Item Causative Syllogisms – Scanning Causative Conclusions to Moods 251-258. (1032 pages in pdf file.)
Table 22.7-25B – 4-Item Causative Syllogisms – Scanning Preventive Conclusions to Moods 251-258. (1041 pages in pdf file.)
Table 22.7-26A – 4-Item Causative Syllogisms – Scanning Causative Conclusions to Moods 261-268. (1032 pages in pdf file.)
Table 22.7-26B – 4-Item Causative Syllogisms – Scanning Preventive Conclusions to Moods 261-268. (1041 pages in pdf file.)
Table 22.7-27A – 4-Item Causative Syllogisms – Scanning Causative Conclusions to Moods 271-278. (1720 pages in pdf file.)
Table 22.7-27B – 4-Item Causative Syllogisms – Scanning Preventive Conclusions to Moods 271-278. (1735 pages in pdf file.)
Table 22.7-28A – 4-Item Causative Syllogisms – Scanning Causative Conclusions to Moods 281-288. (1720 pages in pdf file.)
Table 22.7-28B – 4-Item Causative Syllogisms – Scanning Preventive Conclusions to Moods 281-288. (1735 pages in pdf file.)
Table 22.7-31A – 4-Item Causative Syllogisms – Scanning Causative Conclusions to Moods 311-318. (1032 pages in pdf file.)
Table 22.7-31B – 4-Item Causative Syllogisms – Scanning Preventive Conclusions to Moods 311-318. (1041 pages in pdf file.)
Table 22.7-32A – 4-Item Causative Syllogisms – Scanning Causative Conclusions to Moods 321-328. (1720 pages in pdf file.)
Table 22.7-32B – 4-Item Causative Syllogisms – Scanning Preventive Conclusions to Moods 321-328. (1735 pages in pdf file.)
Table 22.7-33A – 4-Item Causative Syllogisms – Scanning Causative Conclusions to Moods 331-338. (1720 pages in pdf file.)
Table 22.7-33B – 4-Item Causative Syllogisms – Scanning Preventive Conclusions to Moods 331-338. (1735 pages in pdf file.)
Table 22.7-34A – 4-Item Causative Syllogisms – Scanning Causative Conclusions to Moods 341-348. (1720 pages in pdf file.)
Table 22.7-34B – 4-Item Causative Syllogisms – Scanning Preventive Conclusions to Moods 341-348. (1735 pages in pdf file.)
Table 22.7-35A – 4-Item Causative Syllogisms – Scanning Causative Conclusions to Moods 351-358. (1032 pages in pdf file.)
Table 22.7-35B – 4-Item Causative Syllogisms – Scanning Preventive Conclusions to Moods 351-358. (1041 pages in pdf file.)
Table 22.7-36A – 4-Item Causative Syllogisms – Scanning Causative Conclusions to Moods 361-368. (1032 pages in pdf file.)
Table 22.7-36B – 4-Item Causative Syllogisms – Scanning Preventive Conclusions to Moods 361-368. (1041 pages in pdf file.)
Table 22.7-37A – 4-Item Causative Syllogisms – Scanning Causative Conclusions to Moods 371-378. (1720 pages in pdf file.)
Table 22.7-37B – 4-Item Causative Syllogisms – Scanning Preventive Conclusions to Moods 371-378. (1735 pages in pdf file.)
Table 22.7-38A – 4-Item Causative Syllogisms – Scanning Causative Conclusions to Moods 381-388. (1720 pages in pdf file.)
Table 22.7-38B – 4-Item Causative Syllogisms – Scanning Preventive Conclusions to Moods 381-388. (1735 pages in pdf file.)
Table 22.7-4 – 4-Item Syllogisms – Scanning Template I (1st Sample of Formulas Used). (3 pages in pdf file.)
Table 22.7-5 – 4-Item Syllogisms – Scanning Template II (2nd Sample of Formulas Used). (5 pages in pdf file.)
Table 23.1 – 3-Item Preventive Syllogisms – Premises Scanned. (8 pages in pdf file.)
Table 23.2-0 – 3-Item Preventive Syllogisms – Summary of Conclusions Scanned. (9 pages in pdf file.)
Table 23.2-1 – 3-Item Preventive Syllogisms – Figure One – Scanning for Conclusions. (48 pages in pdf file.)
Table 23.2-2 – 3-Item Preventive Syllogisms – Figure Two – Scanning for Conclusions. (48 pages in pdf file.)
Table 23.2-3 – 3-Item Preventive Syllogisms – Figure Three – Scanning for Conclusions. (48 pages in pdf file.)
Table 23.3 – 3-Item Preventive Syllogisms – Comparison between Causative and Preventive Syllogisms. (3 pages in pdf file.)
Table 23.4 – 4-Item Preventive Syllogisms – CONJECTURAL predictions of conclusions. (6 pages in pdf file.)
Table 23.5-0 – 3-Item Negative Causative Syllogisms – Summary of Conclusions Scanned. (3 pages in pdf file.)
Table 23.5-1 – 3-Item Negative Causative Syllogisms – Major Premise Negated – Figure One – Scanning for Conclusions. (32 pages in pdf file.)
Table 23.5-2 – 3-Item Negative Causative Syllogisms – Minor Premise Negated – Figure One – Scanning for Conclusions. (32 pages in pdf file.)
Table 23.5-3 – 3-Item Negative Causative Syllogisms – Both Premises Negated – Figure One – Scanning for Conclusions. (32 pages in pdf file.)
Table 23.5-4 – 3-Item Negative Causative Syllogisms – Major Premise Negated – Figure Two – Scanning for Conclusions. (32 pages in pdf file.)
Table 23.5-5 – 3-Item Negative Causative Syllogisms – Minor Premise Negated – Figure Two – Scanning for Conclusions. (32 pages in pdf file.)
Table 23.5-6 – 3-Item Negative Causative Syllogisms – Both Premises Negated – Figure Two – Scanning for Conclusions. (32 pages in pdf file.)
Table 23.5-7 – 3-Item Negative Causative Syllogisms – Major Premise Negated – Figure Three – Scanning for Conclusions. (32 pages in pdf file.)
Table 23.5-8 – 3-Item Negative Causative Syllogisms – Minor Premise Negated – Figure Three – Scanning for Conclusions. (32 pages in pdf file.)
Table 23.5-9 – 3-Item Negative Causative Syllogisms – Both Premises Negated – Figure Three &nda target="_blank"sh; Scanning for Conclusions. (32 pages in pdf file.)
Table 24.1 – Practical Guide to Causative Logic – List of Forms, their Oppositions and Eductions. (4 pages in pdf file).
Table 24.2 – Practical Guide to Causative Logic – Merged List of 3- & 4-Item Causative Syllogisms (Symbolic). (6 pages in pdf file).
Table 24.3 – Practical Guide to Causative Logic – Merged List of 3- & 4-Item Causative Syllogisms (Textual). (36 pages in pdf file). 
Table 24.4 – Practical Guide to Causative Logic – Abridged List of 3- & 4-Item Causative Syllogisms, including only Positive Conclusions. (16 pages in pdf file).

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2016-06-13T10:21:59+00:00