The Frege–Hilbert controversy

The Frege–Hilbert controversy revolves around differing views on the foundations of mathematics in the 19th and early 20th centuries. Gottlob Frege believed that mathematics is fundamentally about logical truths, emphasizing that mathematics should be derived from pure logic. In contrast, David Hilbert argued for a more formal approach, focusing on consistency and the use of axioms without relying solely on logic. This disagreement highlighted differing philosophical perspectives on the nature of mathematical truth and led to important developments in logic and mathematics, ultimately influencing future debates about the foundations of these fields.