A doctrine or theory concerned with the cosmic significance of numbers and proportions, esp. that derived from the ancient Pythagorean school. histo…

The view or belief that everything can be described ultimately in mathematical terms, or that the universe is fundamentally mathematical.

the branch of mathematics concerned with the syntactic (as opposed to semantic) properties of formulae and proofs in formal systems.

Mathematics. The doctrine that only methods involving a finite number of steps should be used in mathematics; the rejection of actual infinities.

A view of mathematics according to which only constructive proofs, and entities demonstrable by them, are admissible.