Yes I somewhat agree that my problem is not really with the math, but it is the philosophy part that bothers me rather.
I once asked one of my friends(who's an aspiring mathematician) about proof by contradiction and its validity, but he could not come up with a good enough argument. In...
Oh, alright then! :smile: I thought those topics (analysis, algebra, etc.) would simply expect one to implicitly assume the foundational stuff. That's the main reason why was so bothered in the first place.
Thank you for your help and for sharing.
I think I will only read a little about logic till I'm satisfied with it. From what you said, I guess that I fall in the category of people who would get bored on the second half.
Thank you both Mark44 and UltrafastPED. Your comments were enlightening.
I guess I will study some mathematical logic after I have studied quite a vast amount of the other pure mathematics areas; this should convince me, in the end, that everything is really consistent.
I want to address this post primarily to people who have already studied mathematical logic, or are currently studying it.
Since a while I've immersed myself in studying some math, and I must say that I started to enjoy pure mathematics. However, sometimes I don't really feel comfortable...