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Infinito, lógica, geometría by Paolo Mancosu

Infinito, lógica, geometría

by Paolo Mancosu
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Book cover type: Paperback
  • ISBN13: 9781848903449
  • Binding: Paperback
  • Subject: N/A
  • Publisher: College Publications
  • Publisher Imprint: College Publications
  • Publication Date:
  • Pages: 472
  • Original Price: GBP 17.5
  • Language: Spanish
  • Edition: N/A
  • Item Weight: 654 grams
  • BISAC Subject(s): Logic

Los trabajos reunidos en este libro tratan de nociones que en todos los tiempos han ocupado un lugar central en las reflexiones de filósofos, lógicos y matemáticos: el infinito, el número cardinal, la verdad, la consecuencia lógica, la explicación, la pureza de los métodos, el nominalismo, el platonismo.
La primera parte presenta, por un lado, novedosas perspectivas filosóficas sobre teorías no cantorianas para el cálculo del infinito y, por otro lado, pone en cuestión el pretendido estatus analítico del principio de Hume, del que se pueden derivar los axiomas de la aritmética de segundo orden.
En la segunda parte, el autor aprovecha los recursos de archivos inéditos para mostrar la riqueza de los debates filosóficos que Tarski mantuvo con Carnap, Neurath y Quine, durante la elaboración de sus conceptos lógicos.
La tercera parte está dedicada a la "filosofía de la práctica matemática". Estudios de casos provenientes de la geometría proyectiva y de la geometría algebraica real brindan la oportunidad para llevar a cabo un estudio analítico sobre las nociones de "explicación matemática" y "pureza de los métodos".
Estas contribuciones a la historia de la filosofía de la lógica y de la matemática ilustran la manera tan original en la que Paolo Mancosu combina las perspectivas histórica, lógico-matemática y analítica de la filosofía.

Paolo Mancosu es profesor de filosofía en la Universidad de California, en Berkeley. Es autor de numerosos artículos y libros sobre lógica y filosofía de la matemática.

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