What Do You Believe Is True Even Though You Cannot Prove It?

What Do You Believe Is True Even Though You Cannot Prove It?

For me, I see there’s the Continuum Hypothesis debate on one hand, and the kinda-related (through acceptance, rejection, or modification of the axiom of choice ) plausible existence of satisfactory models of infinitesimals (derived from internal set theory ). The fact that so many people disagree violently with this belief, or in fact that there could be any disagreement at all (and that the relative strengths of differing and oppositional beliefs varies over time and across generations) leads me to believe that the shape and discourse of maths and logic are products of our embodied consciousnesses , that evolve within social lives organized from the top down through impenetrable hierarchies that make us into receptacles for the cultures that seduce us into functioning as robots in the economy.