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Categories Versus Structures. / Rodin, Andrei.
Axiomatic Method and Category Theory. Springer Nature, 2014. стр. 235-263 (Synthese Library; Том 364).Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › глава/раздел › научная › Рецензирование
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TY - CHAP
T1 - Categories Versus Structures
AU - Rodin, Andrei
N1 - Publisher Copyright: © 2014, Springer International Publishing Switzerland.
PY - 2014
Y1 - 2014
N2 - In this Chapter I shall discuss a notion, which have been already used throughout this book, namely, the notion of mathematical structure. I shall also discuss a philosophical view known as structuralism and analyze its relationships with the category theory. According to a popular opinion the category theory wholly justifies the structural approach in mathematics and provides a framework for developing the structural mathematics.
AB - In this Chapter I shall discuss a notion, which have been already used throughout this book, namely, the notion of mathematical structure. I shall also discuss a philosophical view known as structuralism and analyze its relationships with the category theory. According to a popular opinion the category theory wholly justifies the structural approach in mathematics and provides a framework for developing the structural mathematics.
KW - Category Theory
KW - Geometrical Object
KW - Invariant Structure
KW - Proper Class
KW - Topological Space
UR - http://www.scopus.com/inward/record.url?scp=85117150178&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-00404-4_9
DO - 10.1007/978-3-319-00404-4_9
M3 - Chapter
AN - SCOPUS:85117150178
SN - 978-3-319-37551-9
T3 - Synthese Library
SP - 235
EP - 263
BT - Axiomatic Method and Category Theory
PB - Springer Nature
ER -
ID: 92471488