Notes for MATH700132 (Mathematical Logic) taught by David Evans at Imperial in Spring 2025. They are a work in progress. These notes are primarily based on the content covered in lectures, with some ...

What is it like to study mathematical logic in the MAST programme? Mathematical logic is one of the areas of pure mathematics in the MAST programme. Students who choose the mathematical logic study ...

Relationship between logic and mathematics. Logic and mathematics have shown a historical correlation that continues to this day. Without the use of logic, mathematics would not be possible, and with ...

This chapter is about the relations among artificial intelligence (AI), mathematical logic, and the formalisation of common‐sense knowledge and reasoning. Common‐sense knowledge includes the basic ...

IT is recorded that when a pupil asked Confucius what he would do first if he had absolute power, the Master replied “I should reform language”. (The development of the theme in the text of the ...

Mathematical logic, set theory, lattices and universal algebra form an interconnected framework that underpins much of modern mathematics. At its heart, mathematical logic provides rigorous formal ...

Sometimes critics of praxeology make this complaint about it. Praxeology is supposed to be logically deduced from the concept of action (Mises) or from the action axiom (Rothbard). If so, these ...

THE very possibility of mathematical science seems an insoluble contradiction. If this science is only deductive in appearance, from whence is derived that perfect rigour which is challenged by none?