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Diagonalization in Formal Mathematics 2020 ed. [Mīkstie vāki]

  • Formāts: Paperback / softback, 89 pages, height x width: 210x148 mm, weight: 454 g, 1 Illustrations, black and white; X, 89 p. 1 illus., 1 Paperback / softback
  • Sērija : BestMasters
  • Izdošanas datums: 05-Jan-2020
  • Izdevniecība: Springer Spektrum
  • ISBN-10: 3658291109
  • ISBN-13: 9783658291105
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  • Mīkstie vāki
  • Cena: 46,91 €*
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Diagonalization in Formal Mathematics 2020 ed.Palielināt
  • Formāts: Paperback / softback, 89 pages, height x width: 210x148 mm, weight: 454 g, 1 Illustrations, black and white; X, 89 p. 1 illus., 1 Paperback / softback
  • Sērija : BestMasters
  • Izdošanas datums: 05-Jan-2020
  • Izdevniecība: Springer Spektrum
  • ISBN-10: 3658291109
  • ISBN-13: 9783658291105
Citas grāmatas par šo tēmu:
Permanent link: https://www.kriso.lv/db/9783658291105.html
In this book, Paulo Guilherme Santos studies diagonalization in formal mathematics from logical aspects to everyday mathematics. He starts with a study of the diagonalization lemma and its relation to the strong diagonalization lemma. After that, Yablo’s paradox is examined, and a self-referential interpretation is given. From that, a general structure of diagonalization with paradoxes is presented. Finally, the author studies a general theory of diagonalization with the help of examples from mathematics.
Diagonalization in Mathematics.- Diagonalization Lemma.- Fixed Point
Theorems.- Paradoxes: Liar, Yablos Paradox, Currys Paradox.
Paulo Guilherme Santos is currently a PhD student at FCT, Universidade Nova de Lisboa, Portugal and at University of Tubingen, Germany. His field of work is logic, e.g. formal arithmetic, provability logic, provability predicates, and paradoxes.