Lectures on the Philosophy of Mathematics

algebraic equations Amer analysis applied arithmetic arrangements assert branch of mathematics calculus calculus of classes called century character combinations complex numbers consider consists constructions continuous continuous functions created creation deductions define definite differential equations division domain elements Encyclopédie ensemble entities Euclidean geometry example existence finite four-dimensional fraction geometry given hypercomplex hypernumbers idea ideal imaginary infinite infinity instance integers intuition invariants invention investigation irrational numbers isomorphic laws logic logistic magic squares mathe mathematician mathématiques matics method mind nature negative numbers Non-Euclidean Geometry notion objects operations Pascal's theorem philosophy philosophy of mathematics physics plane Poincaré possible postulates problems processes projective geometry properties propositional function quaternions range rational numbers reality reduce relations roots solutions space structure symbols theorems theory of equations theory of functions theory of numbers things tion transformations true truth universe variables vector