Syntacticism and functional completeness / Odysseus Makridis.

Format:

Book

Author/Creator:

Makridis, Odysseus, author.

Language:

English

Subjects (All):

Logic.

Syntacticism.

Physical Description:

1 online resource (607 pages)

Edition:

First edition.

Place of Publication:

Newcastle upon Tyne, England : Cambridge Scholars Publishing, [2024]

Summary:

This book constructs an idealized version of what the author calls syntacticism, a school of thought in the philosophy of logic which is congenial to analytical philosophy, logical positivism, and anti-metaphysical nominalism. It examines in detail both technical metalogical and broad philosophic issues associated with this way of thinking about logic, and specifically addresses anomalies around symbolic expressivity, which is crucial for this approach, with a view to provide both a deeper understanding and a critique. The range of fields and interests addressed include: the philosophy of logic, formal logic and mathematical logic, the analytical school of philosophy, logical positivism and nominalism, parallels between thinking about logic and the formalist school in the philosophy of mathematics, the history of modern logic, Wittgenstein's Tractatus, Leśniewski's protothetic, dialogue logic, and combinatorial logic.

Contents:

Table of Contents

1: Functional Completeness and Syntacticism

2: Construction of Formal System and Functional Completeness

3: Truth Functions

4: Functional Completeness in the Standard Propositional Logic

5: Minimal Functional Completeness

6: Connecting Functional Completeness to Properties of Functions

7: Syntacticism and Functional Completeness in the History of Modern Logic

8: Higher Arities, Proof Systems, and the Case of Predicate Logic

9: Functional Completeness in Alternative Truth-Functional Logics and in Non-Truth-Functional Systems

10: Aspirations and Constraints: Le􀄞niewski’s System and Dialogical Logic

11: Wittgenstein on Syntacticism and Functional Completeness

12: The Logical Philosophy of Syntacticism and Functional Completeness

Bibliography

Index Generated by AI.

Notes:

Description based on publisher supplied metadata and other sources.

Part of the metadata in this record was created by AI, based on the text of the resource.

Description based on print version record.

Includes bibliographical references and index.

Other Format:

Print version: Makridis, Odysseus Syntacticism and Functional Completeness

ISBN:

9781527556379

1527556379

OCLC:

1418752443