Axiomatic thinking. II / Fernando Ferreira, Reinhard Kahle, Giovanni Sommaruga, editors.
In this two-volume compilation of articles, leading researchers reevaluate the success of Hilbert's axiomatic method, which not only laid the foundations for our understanding of modern mathematics, but also found applications in physics, computer science and elsewhere. The title takes its name...
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| Format: | eBook |
| Language: | English |
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Cham, Switzerland :
Springer,
2022.
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Table of Contents:
- 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.