Two numbers walk into a set of brackets...
February 19, 2010 1:48 PM Subscribe
Looking to teach myself the basics (and perhaps the not-so-basics) of set theory... How do I do it?
posted by Saxon Kane to education (12 answers total) 7 users marked this as a favorite
I'm interested in learning about set theory. I'm not a mathematician, nor do I desire to be one, but the concepts of set theory that I have a limited familiarity with are very interesting to me as ontological arguments. I've always been pretty good at math, but I haven't studied it in any real way since about 1994 when I graduated from high school. So, here goes:
1) What basic mathematical concepts/skills do I need to (re)learn? I'd say that right now, I have a decent base up through basic algebra and basic geometry. What else do I need to learn?
2) What are the foundational texts or issues, pre-Cantor, that I should read?
3) What are the key foundational texts of modern (aka, 19th C and later) set theory that I should read/study?
4) What are the important issues in post-Cantor/contemporary set theory, and what are some good overviews of these subjects?
User-friendly texts/websites for auto-didacts and non-specialists are much appreciated. I'm not looking for super-dense texts that only an expert would understand, but I also don't want dumbed-down froo-froo chicken soup for the set theorists soul crap. I'm looking to understand the concepts, the major debates, and so forth. Thanks!