Haha! How is category theory "metaphysical"?
Your value judgments in this case actually seem dogmatic and nonsensical... which makes sense if it's derived from Ayn Rand.
Your value judgments in this case actually seem dogmatic and nonsensical... which makes sense if it's derived from Ayn Rand.
Ayn Rand was a student of the classic Greek philosophy, nothing wrong with her.
> 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.
> 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.)
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