Mathematics is 75% Invented, 25% Discovered Hume found doubtwithin mathematics:
"No priestly dogmas, invented on purpose to tame and subdue the rebellious reason of mankind, ever shocked common sense more than the doctrine of the infinite divisibility of extension, with its consequences; as they are pompously displayed by all geometricians and metaphysicians, with a kind of triumph and exultation. A real quantity, infinitely less than any finite quantity, contained quantities infinitely less than itself, and so on in infinitum [uncountable]; this is an edifice so bold and prodigious that it is too weighty for any pretended demonstration to support, because it shocks the clearest and most natural principles of human reason. But what renders the matter more extraordinary, is, that these seemingly absurd opinions are supported by a chain of reasoning, the clearest and most natural".
"Yet still reason must remain restless, and unquiet, even with regard to that skepticism, to which she is driven". (Hume)
Heidegger would have asked: "What is the wisest way to live in the world, with doubt or with faith? Which makes us live in the world best and, most importantly, helps us to die?"
Skeptical questions "admit of no answer and produce no conviction. Their only effect is to cause that momentary amazement and irresolution and confusion" says Hume. Is this amazement pleasurable? And is it useful?
If physically 2 feet can somehow by the laws of physics (even if in another dimension) equal 3 feet, than physics has prove that you can do whatever you like with numbers. 2=3