Modern mathematics is built on set theory, itself a logical system. Logic provides the structure and principles underpinning mathematical reasoning.

One needs only to recall some of the standard 19th century definitions of logic as, e.g., the art and science of reasoning (Whateley) or as giving the normative rules of correct reasoning (Herbart).

Logic is an ancient discipline that has undergone striking modern developments through the introduction of rigorous formal methods, stimulated largely by foundational problems in mathematics.

It’s time to do a series on logic including things such as programmable logic, state machines, and the lesser known demons such as switching hazards. It is best to start at the beginning &#82… ...

Every mathematical system starts with some basic beliefs, and then you build up from there. But you can also look at the world and unpack everything down to basic beliefs. That’s a discipline I have ...

Pure mathematics is the study of mathematical concepts independent of any real-world applications. Pure mathematicians are interested in logic, basic principles and the properties and structures of ...