Logic is the bedrock foundation on which to build your worldview. It’s presupposed by every conclusion, every premise, and every thought. The very concepts of “truth” and “falsehood” are grounded in logic. So naturally, the question must be asked, “What exactly is logic? What is its metaphysical status?”
What does it mean to say “logic exists” – what is its existence like?
Cultural criticism is taboo. In polite company, all cultures are created equally. None is better or worse than any other; they’re just different. We aren’t responsible for the culture we were born into, so there’s no objective basis for criticism or judgement.
Bad ideas are fascinating. Especially the ones with a long lifespan. While our goal is obviously to discover the truth, we can learn a lot by studying inaccurate ideas. Why do some people come to correct conclusions, while others are persuaded by incorrect ones? How can so many bad ideas be so popular for so long?
We have to start from scratch, because we’re biased.
Entertain the idea that all your beliefs about the world are wrong. You’ve been dreaming your whole life, and you’ve just awoken in the real world. You don’t know how anything works. You don’t know what types of things exist. All you know is that you’re having sensory experiences. You feel things.
Few things are as intuitively obvious, yet philosophically challenging, as the existence of free will. Do we have it? Our intuition screams “Of course!”. But our rational analysis screams, “Of course not!”.
Humans are lazy when thinking about infinity. Usually it doesn’t matter, but sometimes, our imprecision comes with big philosophical implications. Profound logical errors permeate mathematics – in calculus and set theory in particular – due to an inaccurate conception of infinity.