Conceived of philosophically, the foundations of mathematics concern various metaphysical and epistemological problems raised by mathematical practice, its results and applications. Most of these problems are of ancient ...
Utilizing the formalization of mathematics and logic found in Whitehead and Russell’s Principia Mathematica (1910), Hilbert and Ackermann (1928) gave precise formulations of a variety of foundational and ...
In the first, geometric stage of Hilbert’s formalism, his view was that a system of axioms does not express truths particular to a given subject matter but rather ...
Hilbert is commonly regarded as one of the two leading mathematicians of the early 20th century, the other being Henri Poincaré (1854–1912). Hilbert made important contributions to a ...