Critical Thinking Toolkit: The Burden of Proof

One important aspect of philosophical arguments is whether or not there exist any “default positions.” That is, if I am trying to convince someone about X and that person is trying to convince me of the opposite of X, is either of us in some kind of default position? When is an idea innocent untilContinue reading “Critical Thinking Toolkit: The Burden of Proof”

Critical Thinking Toolkit: Valid and Sound Arguments

This is the first post I am making in what will hopefully become a long and detailed series of posts about how to think more clearly about difficult questions. Since we ought to try to think clearly in every domain of life, we must begin the discussion at the broadest level, with the most importantContinue reading “Critical Thinking Toolkit: Valid and Sound Arguments”

Intro to Series: Thinking Clearly and Critically

We hear so often how important critical thinking is for succeeding in the job market, in the world, however you want to say it. Critical thinking is put forward as a difference-maker that separates success from failure. And for good reason – by definition, critical thinking is the practice of not taking statements at faceContinue reading “Intro to Series: Thinking Clearly and Critically”

The Foundation of Logic

There are a lot of different ways to approach understanding what mathematics truly is in modern times. And these different approaches are fundamentally different. Does one come from the angle of discussing the beauty of patterns? Or perhaps of the power of the human mind to move from specific examples to general conclusions (similar toContinue reading “The Foundation of Logic”