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Philosophical Approaches to the Foundations of Logic and Mathematics: In Honor of Stanisaw Krajewski [Kõva köide]

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"Philosophical Approaches to the Foundations of Logic and Mathematics consists of eleven articles addressing various aspects of the roots of logic and mathematics, their basic concepts and the mechanisms that work in the practice of their use. Taken together, these articles reveal how many serious philosophical problems are still connected with the notion of the foundations of logic and mathematics. Transcending anti-foundationalism to reach an anthropological and practical understanding of such foundations, 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 are only some of the topics discussed in this volume."--

Philosophical Approaches to the Foundations of Logic and Mathematics consists of eleven articles addressing various aspects of the "roots" of logic and mathematics, their basic concepts and the mechanisms that work in the practice of their use.
Introduction: Philosophy Asking about the Foundations of Logic and Mathematics 1(11)
Martin Trepczynski
1 From Speculative to Practical Foundations of Mathematics: A Communication-Centered Account
12(81)
Vladislav Shaposhnikov
2 Is There an Absolute Mathematical Reality?
93(30)
Zbigniew Krol
3 Mathematical Modalities and Mathematical Explanations
123(27)
Krzysztof Wojtowicz
4 Apriorism, Aposteriorism and the Genesis of Logic
150(25)
Jan Wolenski
5 On Some Problems with Truth and Satisfaction
175(18)
Cezary Cieslinski
6 Inductive Plausibility and Certainty: A Multimodal Paraconsisent and Nonmonotonic Logic
193(18)
Ricardo Sitvestre
7 On the Reception of Cantor's Theory of Infinity (Mathematicians vs. Theologians)
211(27)
Roman Murawski
8 How Is the World Mathematical?
238(20)
Michael Heller
9 An Analysis of Paradoxes
258(13)
Anna Wojtowicz
10 Computation and Visualization Thought Experiments after Lakatos's Heuristic Guessing Method (Semantics of Thought Experiments -- PL Mathematical Thought Experiments)
271(27)
C. Peter Hertogh
Closing Words: Are Dogs Logical Animals? 298(9)
Jean-Yves Beziau
Index of Persons 307(2)
Index of Subjects 309
Marcin Trepczyski, PhD, philosopher and assistant professor at the University of Warsaw. Author of numerous articles and a monograph on relationships between logic and theology.