Moldoveanu, M. C., and H. H. Stevenson. "Hard Problems, Godel's Theorem, Dostoyevsky's Devil, and Idiopathic Neuroses: Reflections on the Structure of Theories of ...

While the approach is unique, the text follows the same set of topics typically covered in a one-semester undergraduate course, including propositional logic and first-order predicate logic, ...

Kurt Gödel's incompleteness theorems of 1931 are among the most iconic scientific achievements of the 20th century. Gödel's results led to the development of formal languages and algorithmic ...

In mathematics, it simply is not true that 'you can't prove a negative'. Many revolutionary impossibility theorems reveal profound properties of logic, computation, fairness and the universe, and form ...

Similarly in mathematics, Gödel's incompleteness theorem tells us that, given a formal theory proving certain basic arithmetic truths, there are other arithmetical statements that are also true ...

If by 'great' we mean 'heroic', then Andrew Wiles' proof of Fermat's Theorem deserves mention. But for sheer intellectual surprise, and alarming insight, it is hard to think of any result that ...

Kurt Gödel, mathematician and logician, was one of the most influential thinkers of the twentieth century. Gödel fled Nazi Germany, fearing for his Jewish wife and fed up with Nazi interference in the ...

Watch The Land of Mathematics A Complex Picnic 11 min Watch the programme In this episode, we look at the relationship between maths and truth. Maths is meant to be certain, either right or wrong.

This course is available on the BSc in Philosophy and Economics, BSc in Philosophy, Logic and Scientific Method, BSc in Philosophy, Politics and Economics and BSc in Politics and Philosophy. This ...

An understanding of how to use Pythagoras’ theorem to find missing sides in a right-angled triangle is essential for applying the theorem in different contexts. (3,1) is the coordinate that is 3 ...