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Mathematics, Substance and Surmise Views on the Meaning and Ontology of Mathematics /

The seventeen thought-provoking and engaging essays in this collection present readers with a wide range of diverse perspectives on the ontology of mathematics. The essays address such questions as: What kind of things are mathematical objects? What kinds of assertions do mathematical statements mak...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Davis, Ernest (Editor ), Davis, Philip J. (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Introduction
  • Hardy, Littlewood, and polymath, (Martin and Pease)
  • Experimental Computation as an Ontological Game Changer: The Impact of Modern Mathematical Computation Tools on the Ontology of Mathematics (Bailey and Borwein).- Mathematical Products (Davis).-How Should Robots Think about Space? (Azzouni)
  • Mathematics and its Applications (Berlinski)
  • Nominalism: The Nonexistence of Mathematical Objects (Azzouni)
  • An Aristotelian Approach to Mathematical Ontology (Gillies)
  • Let G be a Group (Lützen)
  • From the Continuum to Large Cardinals (Stillwell)
  • Mathematics at Infinity (Gray)
  • Mathematics and Language (Avigad)
  • Mathematics as Language (Ross)
  • Mathematics as Multimodal Semiotics (O'Halloran)
  • Problems in Philosophy of Mathematics: A View from Cognitive Science (Piantadosi)
  • Beliefs about the Nature of Numbers (Rips)
  • What Kind of Thing Might Number Become? (Sinclair)
  • Enumerated Entities in Public Policy and Governance (Verran).