|
Contents in detail:
ABSTRACT
Further Description
Suggested Readings
PART I.
ACTUAL CATEGORICALS.
1.
INTRODUCTION.
-
What is Logic?
-
What Logic is Not.
-
Modus
Operandi.
-
Scope.
2.
FOUNDATIONS.
-
The Law of Identity.
-
The Law of Contradiction.
-
The Law of the Excluded Middle.
3.
LOGICAL RELATIONS.
-
True or False.
-
Branches of Logic.
-
Tools of Logic.
-
Axioms of Logic.
4.
WORDS AND THINGS.
-
Verbalizing.
-
Same and Different.
-
On Definition
5.
PROPOSITIONS.
-
Terms and Copula.
-
Polarity and Quantity.
-
Distribution.
-
Permutation.
6.
OPPOSITIONS.
-
Definitions.
-
Applications.
-
Validations.
See also, in this context, Appendix 2.
7.
EDUCTIONS.
-
Definitions.
-
Applications.
-
Validations.
8.
SYLLOGISM: DEFINITIONS.
-
Generalities.
-
Valid/Invalid.
-
Figures
-
Moods.
-
Psychology.
9.
SYLLOGISM: APPLICATIONS.
-
The Main Moods.
-
On the Fourth Figure.
-
Subaltern Moods.
-
Singular Moods.
-
Summary.
-
Common Attributes.
-
Imperfect Syllogism.
10.
SYLLOGISM: VALIDATIONS.
-
Function
-
Methods.
-
In Practise.
-
Derivative Arguments.
PART II.
MODAL CATEGORICALS.
11.
MODALITY: CATEGORIES AND TYPES.
-
Seeds of Growth.
-
Categories of Modality.
-
Types of Modality.
-
Extensional Modality.
-
Temporal Modality.
-
Tense and Duration.
-
Natural Modality.
-
Other Types.
12.
SOURCES OF MODALITY.
-
Diversity.
-
Time and Change.
-
Causality.
13.
MODAL PROPOSITIONS.
-
Categories and Types.
-
List and Notation.
-
Distributions.
14.
MODAL OPPOSITIONS AND EDUCTIONS.
-
Quantification of Oppositions.
-
Basic Intramodal Oppositions.
-
Quantified Intramodal Oppositions.
-
Intermodal Oppositions.
-
Eductions.
See also, in this context, Appendix 2.
15.
MAIN MODAL SYLLOGISMS.
-
Valid Modes.
-
Valid Moods.
-
Validations.
16.
OTHER MODAL SYLLOGISMS
-
Secondary Modes.
-
Mixed Modes.
-
Summation.
-
General Principles.
17.
TRANSITIVE CATEGORICALS.
-
Being and Becoming.
-
Various Features.
-
Various Contrasts.
-
Some Syllogisms.
18.
PERMUTATION.
-
Two Senses of 'Is'.
-
Other Permutations.
-
Verbs.
-
'As Such' Subjects.
-
Commutation.
19.
MORE ABOUT QUANTITY.
-
Substitution.
-
Comparatives.
-
Collectives and Collectionals..
-
Quantification of the Predicate.
PART III.
LOGICAL CONDITIONING.
20.
CREDIBILITY.
-
Laws of Thought.
-
Functions.
-
More on Credibility.
-
Opinion and Knowledge.
21.
LOGICAL MODALITY.
-
The Singular Modalities.
-
The Plural Modalities.
-
Analogies and Contrasts.
-
Apodictic Knowledge.
22.
CONTEXTUALITY.
-
Statics.
-
Dynamics.
-
Time-Frames.
-
Context Comparisons.
-
Personal and Social.
23.
CONJUNCTION.
-
Factual Forms.
-
Oppositions of Factuals.
-
Modal Forms.
-
Oppositions of Modals.
24.
HYPOTHETICAL PROPOSITIONS.
-
Kinds of Conditioning.
-
Defining Hypotheticals.
-
Strict or Material Implication.
-
Full List of Forms.
25.
HYPOTHETICALS: OPPOSITIONS AND
EDUCTIONS.
-
Connection and Basis.
-
Oppositions.
-
Hierarchy.
-
Eductions.
26.
DISJUNCTION.
-
Subjunction.
-
Manners of Disjunction.
-
Broadening the Perspective.
27.
INTRICATE LOGIC.
-
Organic Knowledge.
-
Conjunctives.
-
Hypotheticals.
-
Disjunctives.
28.
LOGICAL COMPOSITIONS.
-
Symbolic Logic.
-
Addition.
-
Multiplication.
-
Expansions.
-
Utility.
29.
HYPOTHETICAL SYLLOGISM AND
PRODUCTION.
-
Syllogism.
-
Other Derivatives.
-
Production.
30.
LOGICAL APODOSIS AND DILEMMA.
-
Apodosis.
-
Dilemma.
-
Rebuttal.
31.
PARADOXES.
-
Internal Inconsistency.
-
The Stolen Concept Fallacy.
-
Systematization.
-
Properties.
32.
DOUBLE PARADOXES.
-
Definition.
-
The Liar Paradox.
-
The Barber Paradox.
PART IV. DE-RE CONDITIONING.
33.
CONDITIONAL PROPOSITIONS.
-
De-re
Conditioning.
-
Types of Causality.
-
Laws of Causality.
34.
NATURAL CONDITIONALS: FEATURES.
-
Basis and Connection.
-
Quantification.
-
Other Features.
-
Natural Disjunction.
35.
NATURAL CONDITIONALS: OPPOSITIONS, EDUCTIONS.
-
Translations.
-
Oppositions.
-
Eductions.
36.
NATURAL CONDITIONAL SYLLOGISM AND PRODUCTION.
-
Syllogism.
-
Summary and Quantities.
-
Production.
37.
NATURAL APODOSIS AND DILEMMA.
-
Apodosis.
-
Dilemma.
38.
TEMPORAL CONDITIONALS.
-
Structure and Properties.
-
Relationships to Naturals.
-
Mixed Modality Arguments.
39.
EXTENSIONALS: FEATURES, OPPOSITIONS, EDUCTIONS.
-
Main Features.
-
Modal and Other Forms.
-
Oppositions.
-
Translations and Eductions.
40.
EXTENSIONAL CONDITIONAL DEDUCTION.
-
Syllogism.
-
Production.
-
Apodoses.
-
Dilemma.
41.
MODALITIES OF SUBSUMPTION.
-
Formal Review.
-
Impact.
-
Primitives.
-
Transformations.
-
Imaginary Terms.
42.
CONDENSED PROPOSITIONS.
-
Forms with Complex Terms.
-
Making Possible or Necessary.
PART Va.
CLASS-LOGIC.
43.
THE LOGIC OF CLASSES.
-
Subsumptive or Nominal.
-
Classes.
-
Classes of Classes.
44.
HIERARCHIES AND ORDERS.
-
First Order Hierarchies.
-
Second Order Hierarchies.
-
Extreme Cases.
45.
ILLICIT PROCESSES IN CLASS LOGIC.
-
Self-membership.
-
The Russell Paradox.
-
Impermutability.
PART Vb. ADDUCTION.
46.
ADDUCTION.
-
Logical Probability.
-
Providing Evidence.
-
Weighting Evidence.
-
Other Types of Probability.
47.
THEORY FORMATION.
-
Theorizing.
-
Structure of Theories.
-
Criteria.
-
Control.
48.
THEORY SELECTION.
-
The Scientific Method.
-
Compromises.
-
Theory Changes.
-
Exclusive Relationships.
49.
SYNTHETIC LOGIC.
-
Synthesis.
-
Self-Criticism.
-
Fairness.
PART VI.
FACTORIAL INDUCTION.
50.
ACTUAL INDUCTION.
-
The Problem.
-
Induction of Particulars.
-
Generalization.
-
Particularization.
-
Validation.
51.
ELEMENTS AND COMPOUNDS.
-
Elements and Compounds.
-
Gross Formulas.
-
Oppositions.
-
Double Syllogisms.
-
Complements.
52.
FRACTIONS AND INTEGERS.
-
Fractions.
-
Double Syllogisms.
-
Integers.
-
Further Developments.
53.
FACTORIAL ANALYSIS.
-
Factorization.
-
Applications.
-
Overlap Issues.
-
More Factorial Formulas.
-
Open System Analysis.
See also, in this context, Appendix 1.
54.
MODAL INDUCTION.
-
Knowability.
-
Equality of Status.
-
Stages of Induction.
-
Generalization
vs.
Particularization.
-
The Paradigm of Induction.
-
The Pursuit of Integers.
55.
FACTOR SELECTION.
-
Prediction.
-
The Uniformity Principle.
-
The Law of Generalization.
56.
APPLIED FACTOR SELECTION.
-
Closed Systems Results.
-
Some Overall Comments.
-
Rules of Generalization.
-
Review of Valid Moods.
-
Open System Results.
57.
FORMULA REVISION.
-
Context Changes.
-
Kinds of Revision.
-
Particularization.
58.
GROSS FORMULA REVISION.
-
Amplification.
-
Harmonization.
-
Unequal Gross Formulas.
-
Equal Gross Formulas.
-
Applications.
59.
FACTORIAL FORMULA REVISION.
-
Adding Fractions to Integers.
-
Reconciliation of Integers.
-
Indefinite Denial of Integers.
-
Other Formula Revisions.
-
Revision of Deficient Formulas.
PART VII. PERSPECTIVES.
60.
PHENOMENA.
-
Empirical or Hypothetical.
-
Physical or Mental.
-
Concrete and Abstract.
-
Presentative or Representative.
61.
CONSCIOUSNESS AND THE MIND.
-
A Relation.
-
Kinds of Consciousness.
-
The Mind.
-
Popular Psychology.
62.
PERCEPTION AND RECOGNITION.
-
The Immediacy of Sense-Perception.
-
Logical Conditions of Recognition.
-
Other Applications.
63.
PAST LOGIC.
-
Historical Judgment.
-
Aristotle, and Hellenic Logic.
-
Roman, Arab, Medieval European Logic.
-
Oriental Logic.
-
Modern Tendencies.
-
In The 20th Century.
64.
CRITIQUE OF MODERN LOGIC.
-
Formalization and Symbolization.
-
Systematization and Axiomatization.
-
Modern Attitudes.
-
Improvements and Innovations.
-
The Cutting Edge.
65.
DEVELOPMENTS IN TROPOLOGY.
-
Tropology.
-
Roots.
-
Shifts in Emphasis.
-
Setting the Stage.
-
Contemporary Currents.
-
Philosophical Discussions.
66.
METALOGIC.
-
Language and Meaning.
-
Definition and Proof.
-
Infinity in Logic.
-
Conceptual Logic.
67.
INDUCTIVE LOGIC.
-
Degrees of Being.
-
Induction from Logical Possibility.
-
History of Inductive Logic.
68.
FUTURE LOGIC.
-
Summary of Findings.
-
Gaps to Fill.
-
Concluding Words.
APPENDIX 1 - Factorial
Analysis of Elements and Gross Formulas (Open System).
PDF files of
Complete table and
Formulae used
APPENDIX 2 - Redefining Majority and Minority in FL.
REFERENCES
Story of Future
Logic
|