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Lawvere : Pursuit of Objectivity. / Rodin, Andrei.
Axiomatic Method and Category Theory. Springer Nature, 2014. стр. 99-143 (Synthese Library; Том 364).Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › глава/раздел › научная › Рецензирование
}
TY - CHAP
T1 - Lawvere
T2 - Pursuit of Objectivity
AU - Rodin, Andrei
N1 - Publisher Copyright: © 2014, Springer International Publishing Switzerland.
PY - 2014
Y1 - 2014
N2 - The author’s attitude to foundations of mathematics, which he describes as commonsensical, assumes a permanent interaction between the foundations and the current mathematical practice (“applications”). It is opposed in this sense to the “Bolzano-Frege-Peano-Russell tradition” (making part of today’s Analytic philosophy), which attempts to provide Formal Axiomatic Method with a philosophical underpinning disregarding its problematic status in the context of the current mathematical research.
AB - The author’s attitude to foundations of mathematics, which he describes as commonsensical, assumes a permanent interaction between the foundations and the current mathematical practice (“applications”). It is opposed in this sense to the “Bolzano-Frege-Peano-Russell tradition” (making part of today’s Analytic philosophy), which attempts to provide Formal Axiomatic Method with a philosophical underpinning disregarding its problematic status in the context of the current mathematical research.
KW - Category Theory
KW - Internal Logic
KW - Mathematical Object
KW - Objective Logic
KW - Subjective Logic
UR - http://www.scopus.com/inward/record.url?scp=85117099102&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-00404-4_5
DO - 10.1007/978-3-319-00404-4_5
M3 - Chapter
AN - SCOPUS:85117099102
SN - 978-3-319-37551-9
T3 - Synthese Library
SP - 99
EP - 143
BT - Axiomatic Method and Category Theory
PB - Springer Nature
ER -
ID: 92471558