Database: What Do History’s Top Philosophers Think About God?

Philosophy has been going on for thousands of years. Many greatest and most influential names in the history of human intellect come out of the philosophical tradition. It is therefore interesting to look at what these great minds think about any issue – whether that be politics, religion, ethics, or anything else. Whether or notContinue reading “Database: What Do History’s Top Philosophers Think About God?”

Critical Thinking Toolkit: Inductive Reasoning

Deductive reasoning is a very useful way to gain knowledge, but it is also very limited. Deduction is a type of reasoning that intellectually compels you to believe something if you accept some number of other things. But very few aspects of reality are like this. In most situations, there are a range of availableContinue reading “Critical Thinking Toolkit: Inductive Reasoning”

“The Unreasonable Effectiveness of Mathematics in the Natural Sciences” by Eugene Wigner

It is only relatively recently in human history that the deep connection between math and physics was realized. Early civilizations knew of some simple connections regarding a pretty intuitive level of mathematics. Counting has an obvious connection to our world, as does much of geometry. And yet, that isn’t really what science is any more.Continue reading ““The Unreasonable Effectiveness of Mathematics in the Natural Sciences” by Eugene Wigner”

What Is a Limit? (Explaining Calculus #2)

Sometimes, it doesn’t matter as much where things are right now, but where they are going. For example, I am writing this roughly six months into the COVID-19 quarantine in the United States, with the 2020 presidential election on the horizon. With an election nearing, there are a lot of polls out there about whoContinue reading “What Is a Limit? (Explaining Calculus #2)”

Critical Thinking Toolkit: Rebuttal versus Refutation

When you disagree with someone, there are a variety of ways to approach that disagreement. The most obvious kind of approach would be to ask someone why they disagree with you and what evidence they have that underlies the disagreement. After all, in order to have a productive conversation you need to be talking aboutContinue reading “Critical Thinking Toolkit: Rebuttal versus Refutation”

Topics from “Pre-Calculus” (Explaining Calculus #1)

Before we can go into a discussion of calculus itself, it is important to set up some of the underlying concepts that calculus uses. You might view this as something analogous to learning the letters of the alphabet before you can start learning to read words and sentences. Without letters, you aren’t going to beContinue reading “Topics from “Pre-Calculus” (Explaining Calculus #1)”

Database: What Do History’s Great Mathematicians Think About God?

There is very often debate about whether science and religion are in conflict. I know from my own studies and will continue to affirm that these are not at all in conflict. There are quite a few ways to go about this, and I plan to take on every angle that I can. Since IContinue reading “Database: What Do History’s Great Mathematicians Think About God?”

Series: Databases of Resources

I am publishing this post as a preface to a sequence of posts that I will continue to update as long as I run this blog, and hope to continue updating for as long as I live – compilations of references on what I have studied during my life. I’ve decided to call these databasesContinue reading “Series: Databases of Resources”

Explaining Calculus (Intro)

In our day and age, this word strikes fear into many hearts. Much like ‘rocket science,’ it is used in our culture to represent anything that is extremely difficult or even something incomprehensible. I am talking about calculus. Those who have taken a course in this topic will have a good idea of what kindsContinue reading “Explaining Calculus (Intro)”

Critical Thinking Toolkit: A Priori Assumptions

This is one of the most important – perhaps the most important – of the many tools in the “critical thinking toolkit.” I don’t say this because I like this topic most among the topics I want to write about – although I do enjoy this topic a lot. The main reason I think thisContinue reading “Critical Thinking Toolkit: A Priori Assumptions”