Grundgesetze der Arithmetik

The "Grundgesetze der Arithmetik" (Basic Laws of Arithmetic) are a set of formal principles established by logician David Hilbert and mathematician Gottlob Frege. They aim to rigorously define numbers and mathematical concepts using pure logic, ensuring that basic arithmetic truths are derived from clear, consistent laws. Essentially, they work to formalize how numbers relate to each other through logical foundations, eliminating ambiguity and preventing contradictions in mathematics. This work was important in the development of modern mathematical logic and foundational studies.