4 ms·
> call me a mathematical hipster (new frameworks etc.) but i could never get into axiomatic set theory. algebra is already boring by virtue of being abstract bu
by nikofeyn 8y ago
> call me a mathematical hipster (new frameworks etc.) but i could never get into axiomatic set theory. algebra is already boring by virtue of being abstract but then make it even more abstract by dropping all models!
can you elaborate here? what is a mathematical hipster, and what are “new frameworks”? and what do you mean by algebra “dropping all models”? i am confused by what these mean.
algebras are about studying various means of combination. given some set, how can we combine two things from that set to get another thing in the set? what are the structures that arise as we explore that question? i highly recommend reading the expository chapter one of pinter’s abstract algebra book.