Welcome to the blog! You’ll see some of my most recent posts here. I write about mathematics, theology, apologetics, philosophy, and any variety of related topics. If you are interested in my mathematical work, click here to see my academic website.

## Fundamental Theorem of Calculus, Part 2 (Explaining Calculus #17)

We have now discussed an extremely important tenet in the development of calculus, which is called the first part of the Fundamental Theorem of Calculus. We briefly recall what we deduced in the last post: Fundamental Theorem of Calculus, Part 1: If is a function that tells us the area underneath the graph of fromContinue reading “Fundamental Theorem of Calculus, Part 2 (Explaining Calculus #17)”

## Why Prove a Theorem Twice?

I have written before on the problem and solution of the problem of “Pythagorean Triples”. The problem, based on the Pythagorean theorem for right triangles, asks for all possible solutions to this equation which have all of whole numbers. Not just any right triangle works – for instance if then , which is definitely notContinue reading “Why Prove a Theorem Twice?”

## The Realm of Integers (Types of Numbers #3)

To kick off the tower of numbers, so to speak, the last article in this series discussed the “basic” numbers – mainly focusing on the positive whole numbers but also including zero. Now, we haven’t quite explored every aspect of the number zero yet, and we ran into problems with subtraction within the so-called “naturalContinue reading “The Realm of Integers (Types of Numbers #3)”

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