Future Logic : Categorical and Conditional Deduction and Induction of the Natural, Temporal, Extensional, and Logical Modalities : Categorical and Conditional Deduction and Induction of the Natural, Temporal, Extensional, and Logical Modalities

By Sion, Avi, Dr.

Book Id: WPLBN0100304364
Format Type: PDF eBook:
File Size: 0.1 MB
Reproduction Date: 1/1/1990

Title:	Future Logic : Categorical and Conditional Deduction and Induction of the Natural, Temporal, Extensional, and Logical Modalities : Categorical and Conditional Deduction and Induction of the Natural, Temporal, Extensional, and Logical Modalities
Author:	Sion, Avi, Dr.
Volume:
Language:	English
Subject:	Non Fiction, Philosophy, Logic, deduction, induction, modalities, Critical thinking, Reasoning
Collections:	Authors Community, Philosophy
Historic Publication Date:	1990
Publisher:	Avi Sion - Kindle

Member Page:	Avi Sion
Citation APA MLA Chicago Avi Sion, B. D. (1990). Future Logic : Categorical and Conditional Deduction and Induction of the Natural, Temporal, Extensional, and Logical Modalities. Retrieved from http://gutenberg.cc/

Description
Future Logic is an original, and wide-ranging treatise of formal logic. It deals with deduction and induction, of categorical and conditional propositions, involving the natural, temporal, extensional, and logical modalities. Traditional and Modern logic have covered in detail only formal deduction from actual categoricals, or from logical conditionals (conjunctives, hypotheticals, and disjunctives). Deduction from modal categoricals has also been considered, though very vaguely and roughly; whereas deduction from natural, temporal and extensional forms of conditioning has been all but totally ignored. As for induction, apart from the elucidation of adductive processes (the scientific method), almost no formal work has been done. This is the first work ever to strictly formalize the inductive processes of generalization and particularization, through the novel methods of factorial analysis, factor selection and formula revision. This is the first work ever to develop a formal logic of the natural, temporal and extensional types of conditioning (as distinct from logical conditioning), including their production from modal categorical premises. Future Logic contains a great many other new discoveries, organized into a unified, consistent and empirical system, with precise definitions of the various categories and types of modality (including logical modality), and full awareness of the epistemological and ontological issues involved. Though strictly formal, it uses ordinary language, wherever symbols can be avoided. Among its other contributions: a full list of the valid modal syllogisms (which is more restrictive than previous lists); the main formalities of the logic of change (which introduces a dynamic instead of merely static approach to classification); the first formal definitions of the modal types of causality; a new theory of class logic, free of the Russell Paradox; as well as a critical review of modern metalogic. But it is impossible to list briefly all the innovations in logical science — and therefore, epistemology and ontology — this book presents; it has to be read for its scope to be appreciated.

Summary
Future Logic is an original and wide-ranging treatise of formal logic. It deals with deduction and induction, of categorical and conditional propositions, involving the natural, temporal, extensional, and logical modalities. This is the first work ever to strictly formalize the inductive processes of generalization and particularization, through the novel methods of factorial analysis, factor selection and formula revision. This is the first work ever to develop a formal logic of the natural, temporal and extensional types of conditioning (as distinct from logical conditioning), including their production from modal categorical premises.

Table of Contents
Part I. ACTUAL CATEGORICALS. (Chap. 1-10) Introduction. Foundations. Logical Relations. Words and Things. Propositions. Oppositions. Eductions. Syllogisms: Definitions. Syllogisms: Applications. Syllogisms: Validations. Part II. MODAL CATEGORICALS. (Chap. 11-19.) Modality: Categories and Types. Sources of Modality. Modal Propositions. Modal Oppositions and Eductions. Main Modal Syllogisms. Other Modal Syllogisms. Transitive Categoricals. Permutation. More About Quantity. Part III. LOGICAL CONDITIONING. (Chap. 20-32.) Credibility. Logical Modality. Contextuality. Conjunction. Hypothetical Propositions. Hypotheticals: Oppositions and Eductions. Disjunction. Intricate Logic. Logical Compositions. Hypothetical Syllogism and Production. Logical Apodosis and Dilemma. Paradoxes. Double Paradoxes. Part IV. DE RE CONDITIONING. (Chap. 33-42.) Conditional Propositions. Natural Conditionals: Features. Natural Conditionals: Oppositions, Eductions. Natural Conditional Syllogism and Production. Natural Apodosis and Dilemma. Temporal Conditionals. Extensionals: Features, Oppositions, Eductions. Extensional Conditional Deduction. Modalities of Subsumption. Condensed Propositions. Part V. CLASS-LOGIC, AND ADDUCTION. (Chap. 43-49.) The Logic of Classes. Hierarchies and Orders. Illicit Processes in Class Logic. Adduction. Theory Formation. Theory Selection. Synthetic Logic. Part VI. FACTORIAL INDUCTION. (Chap. 50-59.) Actual Induction. Elements and Compounds. Fractions and Integers. Factorial Analysis. Modal Induction. Factor Selection. Applied Factor Selection. Formula Revision. Gross Formula Revision. Factorial Formula Revision. (See also Appendix.) Part VII. PERSPECTIVES. (Chap. 60-70.) Phenomena. Consciousness and The Mind. Perception and Recognition. Past Logic. Critique of Modern Logic. Developments in Tropology. Metalogic. Inductive Logic. Future Logic.