Finsler Set Theory: Platonism and Circularity

Translation of Paul Finsler’s papers on set theory with introductory comments

Häftad, Engelska, 2011

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Beskrivning

Finsler's papers on set theory are presented, here for the first time in English translation, in three parts, and each is preceded by an introduction to the field written by the editors.

Produktinformation

Utgivningsdatum:2011-10-04
Mått:170 x 244 x 16 mm
Vikt:508 g
Format:Häftad
Språk:Engelska
Antal sidor:282
Förlag:Springer Basel
ISBN:9783034898768

Utforska kategorier

Matematikens historia inom Naturvetenskap och teknik

Innehållsförteckning

I. Philosophical Part.- (Renatus Ziegler).- Intrinsic Analysis of Antinomies and Self-Reference (Renatus Ziegler).- - Are there Contradictions in Mathematics? [1925].- - Formal Proofs and Decidability [1926a].- - On the Solution of Paradoxes [1927b].- - Are there Undecidable Propositions? [1944].- - The Platonistic Standpoint in Mathematics [1956a].- - Platonism After All [1956b].- II. Foundational Part.- (David Booth).- - On the Foundations of Set Theory, Part I [1926b].- - The Existence of the Natural Numbers and the Continuum [1933].- - Concerning a Discussion on the Foundations of Mathematics [1941b].- - The Infinity of the Number Line [1954].- - On the Foundations of Set Theory, Part II [1964].- III. Combinatorial Part.- (David Booth).- The Combinatorics of Non-Well-Founded Sets (David Booth).- - Totally Finite Sets [1963].- - On the Goldbach Conjecture [1965].- Chronology of Paul Finsler’s Life.