Philosophical Approaches to the Foundations of Logic and Mathematics

In Honor of Stanislaw Krajewski
Erscheinungsjahr 2021
ISBN: 978-90-04-44594-9
Verlag: Brill

Buch, Englisch, Band 114, 310 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 653 g

Reihe: Poznan Studies in the Philosophy of the Sciences and the Humanities

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.

Autoren/Hrsg.

Trepczy&

Trepczynski, Marcin

Fachgebiete

• Geisteswissenschaften Philosophie Philosophie der Mathematik, Philosophie der Physik
• Geisteswissenschaften Philosophie Philosophische Logik, Argumentationstheorie
• Mathematik | Informatik Mathematik Mathematik Allgemein Philosophie der Mathematik

Inhaltsverzeichnis

Content

Introduction: Philosophy Asking about the Foundations of Logic and Mathematics Marcin Trepczyn´ski

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

2 Is There an Absolute Mathematical Reality? Zbigniew Kro´l

3 Mathematical Modalities and Mathematical Explanations Krzysztof Wo´jtowicz

4 Apriorism, Aposteriorism and the Genesis of Logic Jan Wolen´ski

5 On Some Problems with Truth and Satisfaction Cezary Cies´lin´ski

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

7 On the Reception of Cantor’s Theory of Infinity (Mathematicians Vs. Theologians) Roman Murawski

8 How Is the World Mathematical? Michael Heller

9 An Analysis of Paradoxes Anna Wo´jtowicz

10 Computation and Visualization Thought Experiments after Lakatos’s Heuristic Guessing Method (Semantics of Thought Experiments – Pt. Mathematical Thought Experiments) C. Peter Hertogh

Closing Words: Are Dogs Logical Animals? Jean-Yves Be´ziau

Index

Über Autor(innen)

Marcin Trepczynski, PhD, philosopher and assistant professor at the University of Warsaw. Author of numerous articles and a monograph on relationships between logic and theology.