Existential Crisis, Pt. 2

Originally this post was going to be my commentary on equality. However, I've been distracted by end-of-semester finals. Thankfully, an anonymous comment left on my last entry (maybe not so anonymous, I think I know who it is) has provided me with a question to address. It also segways into another topic I had wanted to discuss, but had previously forgotten about. This is what I was asked:

Where do abstract certainties like 1+1=2 or bivalence come into your view?

Now this may seem like a store shelf type of answer, but when I was discussing uncertainty in terms of knowledge, I was referring to the physical universe (or concrete objects, if you are so inclined). I should have clarified that. Abstract ideas make the matter far more complicated.

It can be argued that abstract ideas do not actually exist (and are therefore abstract) because they lack a location in space, the lack of casual power, etc. This puts abstract ideas in an interesting position. Can abstract ideas be true if they do not exist? I see no reason why they cannot. Common tautologies include mathematical proofs. To use an example from above: 1+1=2, 2=1+1

I'm not really sure where to take this entry from here, so I'll leave it up to my readers. Any comments, questions, or criticisms are welcome.

P.S. I know I'm one entry behind. I'll try to come up with something interesting to keep you entertained.