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Axiomatic Thinking II
Langbeschreibung
The contributions are addressed to mathematical and philosophical logicians, but also to philosophers of science as well as physicists and computer scientists with an interest in foundations.
Inhaltsverzeichnis
Volume 2: Logic, Mathematics, and other Sciences.- Part II: Logic.- A Framework for Metamathematics.- Simplified Cut Elimination for Kripke-Platek Set Theory.- On the Performance of Axiom Systems.- Well-Ordering Priciples in Proof Theory and Reverse Mathematics.- Part III: Mathematics.- Reflections on the Axiomatic Approach to Continuity.- Abstract Generality, Simplicity, Forgetting, and Discovery.- Varieties of Infiniteness in the Existence of Infinitely Many Primes.- Axiomatics as a Functional Strategy for Complex Proofs: the Case of Riemann Hypothesis.- Part IV: Other Sciences.- What is the Church-Turing Thesis?.- Axiomatic Thinking in Physics--Essence or Useless Ornament?.- Axiomatic Thinking--Applied to Religion.
Fernando Ferreira is Professor of Mathematics at Universidade de Lisboa. He received his Ph.D. at Pennsylvania State University in 1988 under the direction of Stephen Simpson. He was a Fulbright Scholar at Harvard University (Spring 2004) and Tinker Visiting Professor at Stanford University (Fall 2009). He has written papers on weak systems of arithmetic and analysis, proof theory (especially functional interpretations) and the philosophy and foundations of mathematics. He also wrote two papers on the problem of truth in Parmenides and Plato. He is a corresponding member of the Academia das Ciências de Lisboa.
ISBN-13:
9783030777999
Veröffentl:
2022
Seiten:
287
Autor:
Fernando Ferreira
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
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