There are objective truths in the world. Or, to be more precise, there are objective truth's in each person's "world", their sense of reality. "1 + 1 = 2" is objectively true given a certain system of axioms and theorems that are generally understood. Yes, you need to include that context to be objective, but that doesn't make it invalid. Another objective fact that I can confidently say is that I can think. Does that mean I know I'm not living in a simulation? Of course not, but some way or another, my perception of the world includes my thoughts. I can't prove to you that I think, because Hacker News might just be glitching and sending this reply to you (or maybe it's the simulation overseers, ha!), but I know that I think. How? Because I think. Why? I don't know and I don't care that much.
> You might say that there is an objective reality or truth regardless of whatever anyone else says, but you can’t prove that
I get what you mean here, and I agree, but it's untrue that "1 + 1 = 2" can't be objectively true. It can, as long as certain semantics are applied. A sufficiently smart alien that understands what we mean by "1", "+", "=", "2", the set of integers, what a field is, and so on can only reasonably conclude the same. It also isn't objectively true that there are no objective truths in the sense of "racism bad". We can't know if it's objectively true, but given the context of, well, the world, maybe it is an objective truth. Not that it matters, since we can't know, but still. Although you could argue that those statements shouldn't be considered statements anymore.
> You might say that there is an objective reality or truth regardless of whatever anyone else says, but you can’t prove that
I get what you mean here, and I agree, but it's untrue that "1 + 1 = 2" can't be objectively true. It can, as long as certain semantics are applied. A sufficiently smart alien that understands what we mean by "1", "+", "=", "2", the set of integers, what a field is, and so on can only reasonably conclude the same. It also isn't objectively true that there are no objective truths in the sense of "racism bad". We can't know if it's objectively true, but given the context of, well, the world, maybe it is an objective truth. Not that it matters, since we can't know, but still. Although you could argue that those statements shouldn't be considered statements anymore.