Numbers do not exist separate of our conception of them. They are not Platonic objects that exist in an independent universe.
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There's a popular notion that "Philosophy is useless and a waste of time!" Little do people know, their philosophy is what guides their entire lives. If they've not scrutinized their ideas, they are running through life like a blind racehorse.
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A couple of months ago, my friend Isaac Morehouse asked me to talk about the philosophy of mathematics and why I consider it so important.
Appeals to mathematics are everywhere, from COVID lockdowns to NFL play calling, and if our concepts about math are flawed, we make the world a significantly worse place.
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Resting at the heart of modern mathematics is the concept of "infinite sets." It's a notoriously difficult concept, and in my own evaluation, it strikes me as logically contradictory.
So, I accept an invitation to talk with an ex-mathematician who specializes in set theory - perhaps he can set me straight and help me understand the basic ways of thinking about these "completed infinities."
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Original article here: http://steve-patterson.com/what-is-religiosity/
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An enormous amount of confusion comes from misunderstanding the nature of language. This trips up everybody from the Postmodernists to the Objectivists.
Original article here: http://steve-patterson.com/there-are-no-objective-definitions/
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Ep. 50 - Argumentation Ethics | Stephan Kinsella: https://www.youtube.com/watch?v=M22mq4vA4Ew
Free Praxis module: http://steve-patterson.com/praxis
Are there exceptions to the so-called "non-aggression principle," which says that it is never justified to initiate force against a peaceful person?
In some circumstances, could it be justified to use physical force on somebody that doesn't consent? What qualifies as "consent" in the first place?
This is part 1 of my breakdown of Episode 50. In the future, I'll release a second breakdown of our conversation about argumentation ethics.
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What does scientific progress look like? Is it steady progress, getting ever closer to the truth? What about cases where we seem to have lost knowledge or the foundations of a theory we’ve been building on turned out to be wrong? Can that still be useful? Is that still progress?
These are some of the questions I explore with Geoff Anders. Geoff is a philosopher and research program designer who is studying how knowledge works. He founded Leverage Research, an institute which studies the history and philosophy of science. Their mission is to understand how scientific progress happens so that we can apply those lessons to new or struggling fields.
Check out the Leverage Research website here: https://www.leverageresearch.org/
You can read Geoff’s series about knowledge here: https://medium.com/@geoffanders
Follow him on Twitter here: https://twitter.com/geoffanders
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Is there objective truth, or is everything ultimately subjective? Subscribe on iTunes: https://itunes.apple.com/us/podcast/patterson-in-pursuit-philosophy/id1106619794?mt=2
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