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Literally. An abstract category is an abstract abstraction. That's the realm of metaphysics. Ayn Rand was a student of the classic Greek philosophy, nothing wr
by dschiptsov 10y ago
Literally. An abstract category is an abstract abstraction. That's the realm of metaphysics.
Ayn Rand was a student of the classic Greek philosophy, nothing wrong with her.
- mbrock 10y agoLet's look at Wikipedia's definition. > Metaphysics is a branch of philosophy concerned with explaining the fundamental nature of being and the world that encompasses it. Metaphysics attempts to answer two basic questions in the broadest possible terms: > Ultimately, what is there? What is it like? Does category theory have anything to do with that? No.
- AnimalMuppet 10y ago> > Ultimately, what is there? What is it like? > Does category theory have anything to do with that? No. I could argue that category theory is claiming to answer those questions for mathematics. (So is the axiomatization based on set theory.)
- mbrock 10y agoMaybe some mathematicians think like that, but many don't.
- lliamander 10y agoI have a great deal of respect for Rand and her ideas, despite not agreeing with them. However, her status as an intellectual heir of Aristotle is highly debatable. She's as much a disciple of Nietzsche as anyone. Meanwhile, metaphysics is a subject that stems directly from Greek philosophy: specifically the subjects addressed in Aristotle's work Metaphysics (literally "the book that came after Physics"). Spinoza's theory of monism is itself a metaphysical theory in this sense. Perhaps by metaphysics, you mean to certain metaphysical theories, such as the Idealism of the 18th century? edit: missing punctuation