FUTURE LOGIC
©
Avi Sion, 1990 (Rev. ed. 1996) All rights reserved.
TABLE
OF CONTENTS.
ABSTRACT
Further Description
Suggested Readings
FUTURE LOGIC
Chapters list:
Abstract.
Part
I. Actual Categoricals.
Part II. Modal Categoricals.
Part
III. Logical Conditioning.
Part
IV. De Re Conditioning.
Part
V(a). Class-Logic.
Part
V(b). Adduction.
Part
VI. Factorial Induction.
Part
VII. Perspectives.
PART I.
ACTUAL CATEGORICALS.
1.
INTRODUCTION.
1.
What is Logic?
2.
What Logic is Not.
3.
Modus
Operandi.
4.
Scope.
2.
FOUNDATIONS.
1.
The Law of Identity.
2.
The Law of Contradiction.
3.
The Law of the Excluded Middle.
3.
LOGICAL RELATIONS.
1.
True or False.
2.
Branches of Logic.
3.
Tools of Logic.
4.
Axioms of Logic.
4.
WORDS AND THINGS.
1.
Verbalizing.
2.
Same and Different.
3.
On Definition
5.
PROPOSITIONS.
1.
Terms and Copula.
2.
Polarity and Quantity.
3.
Distribution.
4.
Permutation.
6.
OPPOSITIONS.
1.
Definitions.
2.
Applications.
3.
Validations.
7.
EDUCTIONS.
1.
Definitions.
2.
Applications.
3.
Validations.
8.
SYLLOGISM: DEFINITIONS.
1.
Generalities.
2.
Valid/Invalid.
3.
Figures
4.
Moods.
5.
Psychology.
9.
SYLLOGISM: APPLICATIONS.
1.
The Main Moods.
2.
On the Fourth Figure.
3.
Subaltern Moods.
4.
Singular Moods.
5.
Summary.
6.
Common Attributes.
7.
Imperfect Syllogism.
10.
SYLLOGISM: VALIDATIONS.
1.
Function
2.
Methods.
3.
In Practise.
4.
Derivative Arguments.
PART II.
MODAL CATEGORICALS.
11.
MODALITY: CATEGORIES AND TYPES.
1.
Seeds of Growth.
2.
Categories of Modality.
3.
Types of Modality.
4.
Extensional Modality.
5.
Temporal Modality.
6.
Tense and Duration.
7.
Natural Modality.
8.
Other Types.
12.
SOURCES OF MODALITY.
1.
Diversity.
2.
Time and Change.
3.
Causality.
13.
MODAL PROPOSITIONS.
1.
Categories and Types.
2.
List and Notation.
3.
Distributions.
14.
MODAL OPPOSITIONS AND EDUCTIONS.
1.
Quantification of Oppositions.
2.
Basic Intramodal Oppositions.
3.
Quantified Intramodal Oppositions.
4.
Intermodal Oppositions.
5.
Eductions.
15.
MAIN MODAL SYLLOGISMS.
1.
Valid Modes.
2.
Valid Moods.
3.
Validations.
16.
OTHER MODAL SYLLOGISMS
1.
Secondary Modes.
2.
Mixed Modes.
3.
Summation.
4.
General Principles.
17.
TRANSITIVE CATEGORICALS.
1.
Being and Becoming.
2.
Various Features.
3.
Various Contrasts.
4.
Some Syllogisms.
18.
PERMUTATION.
1.
Two Senses of 'Is'.
2.
Other Permutations.
3.
Verbs.
4.
'As Such' Subjects.
5.
Commutation.
19.
MORE ABOUT QUANTITY.
1.
Substitution.
2.
Comparatives.
3.
Collectives and Collectionals..
4.
Quantification of the Predicate.
PART III.
LOGICAL CONDITIONING.
20.
CREDIBILITY.
1.
Laws of Thought.
2.
Functions.
3.
More on Credibility.
4.
Opinion and Knowledge.
21.
LOGICAL MODALITY.
1.
The Singular Modalities.
2.
The Plural Modalities.
3.
Analogies and Contrasts.
4.
Apodictic Knowledge.
22.
CONTEXTUALITY.
1.
Statics.
2.
Dynamics.
3.
Time-Frames.
4.
Context Comparisons.
5.
Personal and Social.
23.
CONJUNCTION.
1.
Factual Forms.
2.
Oppositions of Factuals.
3.
Modal Forms.
4.
Oppositions of Modals.
24.
HYPOTHETICAL PROPOSITIONS.
1.
Kinds of Conditioning.
2.
Defining Hypotheticals.
3.
Strict or Material Implication.
4.
Full List of Forms.
25.
HYPOTHETICALS: OPPOSITIONS AND
EDUCTIONS.
1.
Connection and Basis.
2.
Oppositions.
3.
Hierarchy.
4.
Eductions.
26.
DISJUNCTION.
1.
Subjunction.
2.
Manners of Disjunction.
3.
Broadening the Perspective.
27.
INTRICATE LOGIC.
1.
Organic Knowledge.
2.
Conjunctives.
3.
Hypotheticals.
4.
Disjunctives.
28.
LOGICAL COMPOSITIONS.
1.
Symbolic Logic.
2.
Addition.
3.
Multiplication.
4.
Expansions.
5.
Utility.
29.
HYPOTHETICAL SYLLOGISM AND
PRODUCTION.
1.
Syllogism.
2.
Other Derivatives.
3.
Production.
30.
LOGICAL APODOSIS AND DILEMMA.
1.
Apodosis.
2.
Dilemma.
3.
Rebuttal.
31.
PARADOXES.
1.
Internal Inconsistency.
2.
The Stolen Concept Fallacy.
3.
Systematization.
4.
Properties.
32.
DOUBLE PARADOXES.
1.
Definition.
2.
The Liar Paradox.
3.
The Barber Paradox.
PART IV. DE-RE CONDITIONING.
33.
CONDITIONAL PROPOSITIONS.
1.
De-re Conditioning.
2.
Types of Causality.
3.
Laws of Causality.
34.
NATURAL CONDITIONALS: FEATURES.
1.
Basis and Connection.
2.
Quantification.
3.
Other Features.
4.
Natural Disjunction.
35.
NATURAL CONDITIONALS: OPPOSITIONS, EDUCTIONS.
1.
Translations.
2.
Oppositions.
3.
Eductions.
36.
NATURAL CONDITIONAL SYLLOGISM AND PRODUCTION.
1.
Syllogism.
2.
Summary and Quantities.
3.
Production.
37.
NATURAL APODOSIS AND DILEMMA.
1.
Apodosis.
2.
Dilemma.
38.
TEMPORAL CONDITIONALS.
1.
Structure and Properties.
2.
Relationships to Naturals.
3.
Mixed Modality Arguments.
39.
EXTENSIONALS: FEATURES, OPPOSITIONS, EDUCTIONS.
1.
Main Features.
2.
Modal and Other Forms.
3.
Oppositions.
4.
Translations and Eductions.
40.
EXTENSIONAL CONDITIONAL DEDUCTION.
1.
Syllogism.
2.
Production.
3.
Apodoses.
4.
Dilemma.
41.
MODALITIES OF SUBSUMPTION.
1.
Formal Review.
2.
Impact.
3.
Primitives.
4.
Transformations.
5.
Imaginary Terms.
42.
CONDENSED PROPOSITIONS.
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