|
|
libcats.org
Нет обложки Basic Category Theoryvan Oosten J.Category theory has come to occupy a central position in contemporary mathematics and theoretical computer science, and is also applied to mathematical physics. Roughly, it is a general mathematical theory of structures and of systems of structures. As category theory is still evolving, its functions are correspondingly developing, expanding and multiplying. At minimum, it is a powerful language, or conceptual framework, allowing us to see the universal components of a family of structures of a given kind, and how structures of different kinds are interrelated. Category theory is both an interesting object of philosophical study, and a potentially powerful formal tool for philosophical investigations of concepts such as space, system, and even truth. It can be applied to the study of logical systems in which case category theory is called "categorical doctrines" at the syntactic, proof-theoretic, and semantic levels. Category theory is an alternative to set theory as a foundation for mathematics. As such, it raises many issues about mathematical ontology and epistemology. Category theory thus affords philosophers and logicians much to use and reflect upon.
Скачать книгу бесплатно (ps, 490 Kb)
Популярные книги за неделю:
Проектирование и строительство. Дом, квартира, садАвтор: Петер Нойферт, Автор: Людвиг Нефф
Размер книги: 20.83 Mb
Система упражнений по развитию способностей человека (Практическое пособие)Автор: Петров Аркадий НаумовичКатегория: Путь к себе
Размер книги: 818 Kb
Сотворение мира (3-х томник)Автор: Петров Аркадий НаумовичКатегория: Путь к себе
Размер книги: 817 Kb
Радиолюбительские схемы на ИС типа 555Автор: Трейстер Р.Категория: Электротехника и связь
Размер книги: 13.64 Mb
Только что пользователи скачали эти книги:
Algebra Some Current TrendsАвтор: Avramov L.L. (ed.), Автор: Tchakerian K.B. (ed.)
Размер книги: 1.19 Mb
Introduction to shape optimizationАвтор: J. Haslinger, Автор: R. A. E. MäkinenКатегория: Optimization and control
Размер книги: 2.00 Mb
Advanced calculus: Problems and applications to science and engineeringАвтор: Hugo Rossi
Размер книги: 4.23 Mb
Function Theory: Interpolation and Corona Problems (Fields Institute Monographs 25)Автор: Eric T. Sawyer
Размер книги: 13.45 Mb
BaudolinoАвтор: Eco Umberto, Автор: Weaver William, Автор: Libri R C SКатегория: fiction
Размер книги: 488 Kb
|
|
|