Philosophical Approaches to the Foundations of Logic and Mathematics : : In Honor of Stanisław Krajewski / / edited by Marcin Trepczyński.

• Superior document: Poznań Studies in the Philosophy of the Sciences and the Humanities ; 114
• TeilnehmendeR: Trepczyński, Marcin,
• Place / Publishing House: Leiden; , Boston : : Brill | Rodopi, , 2021.
• Year of Publication: 2021
• Language: English
• Series: Poznań Studies in the Philosophy of the Sciences and the Humanities ; 114.
• Physical Description: 1 online resource (316 pages).

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.

Table of 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.