Axiomatic Thinking II

Axiomatic Thinking II

Sommaruga, Giovanni; Kahle, Reinhard; Ferreira, Fernando

Springer Nature Switzerland AG

09/2022

287

Dura

Inglês

9783030777982

15 a 20 dias

623

Descrição não disponível.
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.
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mathematical logic;foundations of mathematics;history of mathematics and logic;general philosophy of science;philosophy of mathematics and logic