Philosophy of mathematics

One of the most striking features of mathematics is the fact that we are much more certain about the mathematical knowledge we have than about what mathematical knowledge is knowledge of. Are numbers, sets, functions and groups physical entities of some kind? Are they objectively existing objects in...

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Detalles Bibliográficos
Autores principales: Gabbay, Dov M, Thagard, Paul, Woods, John
Lenguaje:eng
Publicado: Elsevier Science 2009
Materias:
Mathematical Physics and Mathematics
Acceso en línea:http://cds.cern.ch/record/2066520
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author Gabbay, Dov M
Thagard, Paul
Woods, John
author_facet Gabbay, Dov M
Thagard, Paul
Woods, John
author_sort Gabbay, Dov M
collection CERN
description One of the most striking features of mathematics is the fact that we are much more certain about the mathematical knowledge we have than about what mathematical knowledge is knowledge of. Are numbers, sets, functions and groups physical entities of some kind? Are they objectively existing objects in some non-physical, mathematical realm? Are they ideas that are present only in the mind? Or do mathematical truths not involve referents of any kind? It is these kinds of questions that have encouraged philosophers and mathematicians alike to focus their attention on issues in the philosophy of mat
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spelling cern-20665202021-04-21T20:02:52Zhttp://cds.cern.ch/record/2066520engGabbay, Dov MThagard, PaulWoods, JohnPhilosophy of mathematicsMathematical Physics and MathematicsOne of the most striking features of mathematics is the fact that we are much more certain about the mathematical knowledge we have than about what mathematical knowledge is knowledge of. Are numbers, sets, functions and groups physical entities of some kind? Are they objectively existing objects in some non-physical, mathematical realm? Are they ideas that are present only in the mind? Or do mathematical truths not involve referents of any kind? It is these kinds of questions that have encouraged philosophers and mathematicians alike to focus their attention on issues in the philosophy of matElsevier Scienceoai:cds.cern.ch:20665202009
spellingShingle Mathematical Physics and Mathematics
Gabbay, Dov M
Thagard, Paul
Woods, John
Philosophy of mathematics
title Philosophy of mathematics
title_full Philosophy of mathematics
title_fullStr Philosophy of mathematics
title_full_unstemmed Philosophy of mathematics
title_short Philosophy of mathematics
title_sort philosophy of mathematics
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/2066520
work_keys_str_mv AT gabbaydovm philosophyofmathematics
AT thagardpaul philosophyofmathematics
AT woodsjohn philosophyofmathematics

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