If 1+1=2 has always been true and always will be true then does that mean that something has always existed and always will exist?
It has not "been true" nor will it always "be true" because propositional (truth)-valuation is atemporal.
Put simply, it is true that "All bachelors are unmarried." This is not true because in this particular universe on this particular planet the term "bachelor" is generally applied to men who are not married. If English the English usage of "married" or "bachelor" were to change, or were gender continue to change from being binary, or were any other possible linguistic, cultural, semantic, etc., shifts were to occur so that people would regard that proposition as definitely false, it would nonetheless be true
as uttered.
This is because propositions, and more generally any abstract symbolic representation (be it mathematical, pictorial. spoken, etc.) are true by definition, at least in the sense of the kind of "truth" by which one refers when one says that "1+1=2" is true." Thus it doesn't matter whether one says "the snow is white" or "Der Schnee ist weiß" or "the ksdfsd copula wssetrersgh", as mathematical/logical-like "truth" isn't contextual but rather formal.
A more relevant way of putting this is in cosmological terms that harken back to Plato and even before his time. Regardless of whether one considers morality to be absolute, or whether one believes in true Evil (or Good), it is nonetheless the case that IF one considers causing needless suffering to be wrong, THEN torturing someone with hot pokers. But this is a CONTIGENT truth, in the sense that one can imagine a different universe in which hot pokers caused immense pleasure and increased bodily health. In this case, applying pokers to a person would not be wrong, but this would have no bearing one whether or not causing needless suffering is wrong.
1+ 1 = 2 is not true in nature.
That's because nothing in nature corresponds uniquely and specifically to the statement, any more than does the concept "1" apply uniquely to the symbol "1" rather than "one", "I", etc.
Add and Apple and an Orange and you still only have an Apple and an Orange but humans make up Fruits to find 2
Add Blue light to yellow light and you get green light
Add an egg to a sperm and you get one more of a species.
Addition is a kind of function, or better yet a relation one defines mapping elements of sets to yet another set (these elements may or may not be all elements of the same set). Where it doesn't make sense to say that "a thing plus another thing equals two things" as above, it is not the case that suddenly "1+1=2" is false, but rather that one cannot so apply the statement.
Simply no. Counting does indeed 'count' something, but only for our purposes. Math is logical description method of counting things developed by humans for our purposes. Math is true, because humans developed it to count things that are physically true.
Math is neither true nor false. Mathematical statements have truth values, regardless of how they were inspired.
1 + 1 = 2 only in base 10 math.
Utterly irrelevant. 1+1=2 is a tautology, as the truth-valuation/relation in this case
by definition makes the whole statement true. Were it false, it couldn't be made except in error, as the equals sign would not be the relation that it is.
