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

• Superior document: Poznan Studies in the Philosophy of the Sciences and the Humanities ; Volume 114
• TeilnehmendeR: Trepczynski, Marcin,
• Place / Publishing House: Leiden ;, Boston : : Brill,, [2021]; 2021
• Year of Publication: 2021
• Language: English
• Series: Poznan studies in the philosophy of the sciences and the humanities ; Volume 114.
• Physical Description: 1 online resource (316 pages).
• Other title: Front Matter --; Copyright Page /; Introduction Philosophy Asking about the Foundations of Logic and Mathematics /; Chapter 1 From Speculative to Practical Foundations of Mathematics: A Communication-Centered Account /; Chapter 2 Is There an Absolute Mathematical Reality? /; Chapter 3 Mathematical Modalities and Mathematical Explanations /; Chapter 4 Apriorism, Aposteriorism and the Genesis of Logic /; Chapter 5 On Some Problems with Truth and Satisfaction /; Chapter 6 Inductive Plausibility and Certainty: A Multimodal Paraconsisent and Nonmonotonic Logic /; Chapter 7 On the Reception of Cantor's Theory of Infinity (Mathematicians vs. Theologians) /; Chapter 8 How Is the World Mathematical? /; Chapter 9 An Analysis of Paradoxes /; Chapter 10 Computation and Visualization Thought Experiments after Lakatos's Heuristic Guessing Method (Semantics of Thought Experiments - Pt. Mathematical Thought Experiments) /; Closing Words Are Dogs Logical Animals? /; Back Matter --; Index of Persons /; Index of Subjects /
• Bibliography: Includes bibliographical references and index.
• ISBN: 9004445951
• Hierarchical level: Monograph
• Statement of Responsibility: edited by Marcin Trepczynski.

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.