Understanding Continuity from the Perspective of AGT

Understanding Continuity from the Perspective of AGT

Continuity and limits, as understood in traditional calculus, rely on infinitesimally small sets to arrive at limits for arbitrary functions. This idea, when translated into other definitions of continuities, relies on ideas about convergence of sequences and the like.

What Is The Axiomatic Theory Of Formulas?

What Is The Axiomatic Theory Of Formulas

The methods or syntax to express mathematical truths are, obviously, essential to the study of mathematics. Without a taxonomy that highlights the correct use of mathematical symbols, rules which dictate the validity of mathematical statements and theory about how these statements are to be construed, you can’t do math.

An Introduction to Filters—What’s So Special About This Partially Ordered Set?

An Introduction to Filters—What’s So Special About This Partially Ordered Set

AGT isn’t new math that’s intended to replace existing mathematical theory, but rather a novel way to express mathematical concepts which were previously inexpressible. I indulge these ideas because I believe, as is the modus operandi for all academics, that any worthwhile, logically consistent idea must be pursued until it is falsified or verified for […]