Philosophical approaches to the foundations of logic and mathematics : in honor of professor Stanisaw Krajewski / edited by Marcin Trepczynski.

Format:

Book

Contributor:

Trepczynski, Marcin, editor.

Series:

Poznan studies in the philosophy of the sciences and the humanities ; Volume 114.

Poznan Studies in the Philosophy of the Sciences and the Humanities ; Volume 114

Language:

English

Subjects (All):

Logic, Symbolic and mathematical.

Mathematics--Philosophy.

Mathematics.

Krajewski, Stanisaw--Influence.

Krajewski, Stanisaw.

Physical Description:

1 online resource (316 pages).

Place of Publication:

Leiden ; Boston : Brill, [2021]

Summary:

Eleven papers collected in the volume Philosophical Approaches to the Foundations of Logic and Mathematics address various aspects of the "roots", basic concepts and the nature of logic and mathematics. Taken together, these papers reveal how many serious philosophical problems lie at the foundations of logic and mathematics. The topics discussed in this volume include: transcending anti-foundationalism and two concurrent trends of "anthropological" and "practical" understanding of the foundations of mathematics, new approaches to mathematical realism, the "roots" of logic in a genetic perspective, the primacy of truth or satisfaction, and the "effectiveness" of mathematics in terms of categorical semantics.

Contents:

Front Matter

Copyright Page / Editor: Marcin Trepczyński

Introduction Philosophy Asking about the Foundations of Logic and Mathematics / Author: Marcin Trepczyński

Chapter 1 From Speculative to Practical Foundations of Mathematics: A Communication-Centered Account / Author: Vladislav Shaposhnikov

Chapter 2 Is There an Absolute Mathematical Reality? / Author: Zbigniew Król

Chapter 3 Mathematical Modalities and Mathematical Explanations / Author: Krzysztof Wójtowicz

Chapter 4 Apriorism, Aposteriorism and the Genesis of Logic / Author: Jan Woleński

Chapter 5 On Some Problems with Truth and Satisfaction / Author: Cezary Cieśliński

Chapter 6 Inductive Plausibility and Certainty: A Multimodal Paraconsisent and Nonmonotonic Logic / Author: Ricardo Silvestre

Chapter 7 On the Reception of Cantor's Theory of Infinity (Mathematicians vs. Theologians) / Author: Roman Murawski

Chapter 8 How Is the World Mathematical? / Author: Michael Heller

Chapter 9 An Analysis of Paradoxes / Author: Anna Wójtowicz

Chapter 10 Computation and Visualization Thought Experiments after Lakatos's Heuristic Guessing Method (Semantics of Thought Experiments - Pt. Mathematical Thought Experiments) / Author: C. Peter Hertogh

Closing Words Are Dogs Logical Animals? / Author: Jean-Yves Béziau

Back Matter

Index of Persons / Editor: Marcin Trepczyński

Index of Subjects / Editor: Marcin Trepczyński.

Notes:

Description based on print version record.

Includes bibliographical references and index.

ISBN:

90-04-44595-1

Publisher Number:

10.1163/9789004445956 DOI