02.5 Examples
2.5 Examples Across Fields The distinction between truth, provability, and independence is not confined to mathematical logic. It appears throughout mathematics whenever a statement depends on axioms, interpretation, or the chosen structure. In arithmetic, the intended structure is usually the natural numbers. N = {0, 1, 2, 3, ...} A statement may be true about the standard natural numbers but unprovable in a chosen formal system. This is the central...