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001449911 001__ 1449911
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001449911 005__ 20230310004424.0
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001449911 020__ $$a9783030777999$$q(electronic bk.)
001449911 020__ $$a3030777995$$q(electronic bk.)
001449911 020__ $$z9783030777982
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001449911 0247_ $$a10.1007/978-3-030-77799-9$$2doi
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001449911 24500 $$aAxiomatic thinking.$$nII /$$cFernando Ferreira, Reinhard Kahle, Giovanni Sommaruga, editors.
001449911 264_1 $$aCham, Switzerland :$$bSpringer,$$c2022.
001449911 300__ $$a1 online resource :$$billustrations (black and white, and color).
001449911 336__ $$atext$$btxt$$2rdacontent
001449911 337__ $$acomputer$$bc$$2rdamedia
001449911 338__ $$aonline resource$$bcr$$2rdacarrier
001449911 5050_ $$aVolume 2: Logic, Mathematics, and other Sciences -- Part II: Logic -- A Framework for Metamathematics -- Simplified Cut Elimination for Kripke-Platek Set Theory -- On the Performance of Axiom Systems -- Well-Ordering Priciples in Proof Theory and Reverse Mathematics -- Part III: Mathematics -- Reflections on the Axiomatic Approach to Continuity -- Abstract Generality, Simplicity, Forgetting, and Discovery -- Varieties of Infiniteness in the Existence of Infinitely Many Primes -- Axiomatics as a Functional Strategy for Complex Proofs: the Case of Riemann Hypothesis -- Part IV: Other Sciences -- What is the Church-Turing Thesis? -- Axiomatic Thinking in Physics--Essence or Useless Ornament? -- Axiomatic Thinking--Applied to Religion.
001449911 506__ $$aAccess limited to authorized users.
001449911 520__ $$aIn this two-volume compilation of articles, leading researchers reevaluate the success of Hilbert's axiomatic method, which not only laid the foundations for our understanding of modern mathematics, but also found applications in physics, computer science and elsewhere. The title takes its name from David Hilbert's seminal talk Axiomatisches Denken, given at a meeting of the Swiss Mathematical Society in Zurich in 1917. This marked the beginning of Hilbert's return to his foundational studies, which ultimately resulted in the establishment of proof theory as a new branch in the emerging field of mathematical logic. Hilbert also used the opportunity to bring Paul Bernays back to Gottingen as his main collaborator in foundational studies in the years to come. The contributions are addressed to mathematical and philosophical logicians, but also to philosophers of science as well as physicists and computer scientists with an interest in foundations.
001449911 588__ $$aDescription based on print version record.
001449911 650_0 $$aAxioms.
001449911 655_0 $$aElectronic books.
001449911 7001_ $$aFerreira, Fernando,$$d1958-$$eeditor.$$1https://isni.org/isni/0000000084845094
001449911 7001_ $$aKahle, Reinhard,$$d1967-$$eeditor.$$1https://isni.org/isni/000000010996199X
001449911 7001_ $$aSommaruga, Giovanni,$$eeditor.
001449911 77608 $$iPrint version:$$tAxiomatic thinking II.$$dCham : Springer, 2022$$z9783030777982$$w(OCoLC)1295103364
001449911 852__ $$bebk
001449911 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-77799-9$$zOnline Access$$91397441.1
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001449911 980__ $$aBIB
001449911 980__ $$aEBOOK
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001449911 983__ $$aOnline
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