A Mathematician's Perspective on Math, Faith, and Life
I’ve talked about deductive reasoning and inductive reasoning before. Both of these are important mechanisms we use for arriving at conclusions. The first makes use of the rules of logic – which we can essentially view as limiting ourselves to the definitions of words like true and false and not allowing ourselves any other resources.Continue reading “Critical Thinking Toolkit: Inference to the Best Explanation”
Have you ever heard someone say something you find completely unbelievable? I’m sure we all have. Often, we think this because we know things that make the opposing claim unbelievable. There are many examples I could give, but I think your thoughts have probably already filled in some examples for me, so I won’t. AbsurdContinue reading “Critical Thinking Toolkit: Self-Defeating Statements”
Whenever we are presenting reasons for a position we believe or are involved in dialogue with a person we disagree with, one of the most important things for us to do is to to clearly lay out our reasons for what we believe. Built into this important criteria of conversation is the idea that ourContinue reading “Critical Thinking Toolkit: Non Sequiturs”
This one really should go without saying… and yet we need to say it anyways. So often, public discourse gets bogged down in personal insults of one variety or another. Whether attacks on a person’s morality, integrity, honesty, educational background, or any other aspect of life, our culture – especially the so-called “cancel culture” –Continue reading “Critical Thinking Toolkit: The Ad Hominem Fallacy”
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Hi, I’m Will. I’m studying as a graduate student in math, and am also interested in theology, education, philosophy, science, and mental health. My goal here is to write defending the views I have on these subjects and to help interested readers learn more about these subjects.
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