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Mathematics, substance and surmise : views on the meaning and ontology of mathematics / edited by Ernest Davis, Philip J. Davis.

Colaborador(es): Tipo de material: TextoTextoEditor: Cham : Springer International Publishing : Springer, 2015Edición: 1st ed. 2015Descripción: vi, 379 páginas : 35 ilustraciones, 23 ilustraciones en colorTipo de contenido:
  • texto
Tipo de medio:
  • computadora
Tipo de portador:
  • recurso en línea
ISBN:
  • 9783319214733
Formatos físicos adicionales: Edición impresa:: Sin títuloClasificación LoC:
  • QA21-27
Recursos en línea:
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).
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Springer eBooks

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).

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