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Catalogue Information
Field name	Details
Dewey Class	511.3
Title	Axiomatic Thinking I ( EBook/) / edited by Fernando Ferreira, Reinhard Kahle, Giovanni Sommaruga.
Added Personal Name	Ferreira, Fernando
	Kahle, Reinhard
	Sommaruga, Giovanni
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2022.
Publication	Cham : : Springer International Publishing : : Imprint: Springer, , 2022.
Physical Details	XIV, 205 p. 9 illus., 4 illus. in color. : online resource.
ISBN	9783030776572
Summary Note	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 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 Göttingen 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. Chapter 8 is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.:
Contents note	Volume 1: History and Philosophy -- Axiomatisches Denken -- Part I: History and Philosophy -- Hilbert's Axiomatisches Denken -- Scope and Limits of Axiomatics -- The Semantic Function of the Axiomatic Method -- Aristotle's Relations: An Interpretation in Combinatory Logic -- The Two Sides of Modern Axiomatics: Dedekind and Peano, Hilbert and Bourbaki -- Notes for a Seminar in Axiomatic Reasoning -- Axiomatic Thinking, Identity of Proofs and the Quest for an Intensional Proof-Theoretic Semantics -- Proofs as Objects -- Where Do Axioms Come From? -- Panel Discussion on the Foundations of Mathematics. .
Mode of acces to digital resource	Digital reproduction.-
	Cham :
	Springer International Publishing,
	2022. -
	Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-3-030-77657-2
Links to Related Works	Subject References: History . History of Mathematical Sciences . Mathematical logic . Mathematical Logic and Foundations . Mathematics . Mathematics—Philosophy . Philosophy of Mathematics . Authors: editor . Ferreira, Fernando . Kahle, Reinhard . Sommaruga, Giovanni . Corporate Authors: SpringerLink (Online service) . Classification: 511.3 .

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Axiomatic Thinking I

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