We don't have to make this thought experiment since we already know that it isn't the case - reality is a subset of what's mathematically possible. Finding that subset is what physics is concerned with.
Were you replying to me? I actually upvoted you, if it's meant to be a contradiction than I don't see it. I only just realized you may have been answering me since you used my words, but other than that I have no idea if that's true.
In any case, I should have read more carefully, because
> reality is a subset of what's mathematically possible
does not mean anything. It's a grammatically correct sentence, sure, and that's all. The number of (grammatically) correct sentences is definitely larger than the number of useful ones though :)
let's just say it was a bit late in my timezone ;-).
I probably replied to the wrong post, but I wanted to say that math is in fact a tool for science - instead of being the most fundamental science itself. I've met some people, including mathematicians, who think that because everything can be described with math, it means that math is all that's needed to find the truth about reality. My point is that the process of appying math to find the model that best fits our own world is something that's outside of math itself.
In any case, I should have read more carefully, because
does not mean anything. It's a grammatically correct sentence, sure, and that's all. The number of (grammatically) correct sentences is definitely larger than the number of useful ones though :)