The methods or syntax to express mathematical truths are, obviously, essential to the study of mathematics. Without a taxonomy that

Continue reading# Month: December 2019

## A Popular Introduction into the Generalized Limit (of arbitrary discontinuous function)

Abstract. A review of my book “Generalized limit (of arbitrary discontinuous function)”. A popular introduction with graphs to the following

Continue reading## Generalized Limit Expressed through Ultralimits

In my book Limit of a Discontinuous Function I defined the generalized limit defined for every (even discontinuous) function. The

Continue reading## 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

Continue reading## What is Algebraic General Topology (Video)

Algebraic general topology – what is it? First, what is a general topology? General topology is the theory of topological

Continue reading## Algebraic General Topology – A Game Changing Mathematical Theory

This new research field generalizes new theorems as well as former analysis by collapsing several theorems of analysis into one

Continue reading## The Shortcomings of Topological Theory: The Reasons Why Generalized Algebraic Point-Set Topology Is Superior

I feel that when the various fields of intellectual endeavor become obsessed with upholding tradition, they stifle room for original

Continue reading## Infinitesimal Calculus on the Reverse in my Book “Limit of a Discontinuous Function”

Traditional calculus as first considered in 17th century by Isaac Newton (and Leibniz, however some say Leibniz stole the Newton’s

Continue reading## Some Conjectures About Generalized Limits

Continuing my research from general topology monograph Algebraic General Topology, the following new open problems arose: I remind that I

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