Are mathematical truths invented or discovered?
“Mathematics is not either invented or discovered; the dichotomy is false.”
― George P. Lakoff
“One reason why mathematics enjoys special esteem, above all other sciences, is that its propositions are absolutely certain and indisputable, … How can it be that mathematics, being after all a product of human thought which is independent of experience, is so admirably appropriate to the objects of reality?”
― Albert Einstein
“I do not know what I may appear to the world, but to myself I seem to have been only like a boy playing on the seashore, and diverting myself in now and then finding a smoother pebble or a prettier shell than ordinary, whilst the great ocean of truth lay all undiscovered before me.”
― Isaac Newton