Mathematical logic provides a rigorous framework for analysing the structure of mathematical reasoning, enabling a deep understanding of both formal systems and the nature of proofs. Central to this ...

The object lesson concerns the passage from the foundational aims for which various branches of modern logic were originally developed to the discovery of areas and problems for which logical methods ...

Mathematical logic provides a rigorous framework to analyse proofs and extract computational content, while nonexpansive mappings, which are mappings that do not increase distances between points, ...

Some scientific discoveries matter because they reveal something new — the double helical structure of DNA, for example, or the existence of black holes. However, some revelations are profound because ...

From the traditional point of view, mathematical elucidation is usually characterized fundamentally in terms of what it is not. What does elucidating mean in mathematics? It is not the appropriate ...