HeyJaredWords Without Knowledge
Reflections on philosophy, theology, and life, from a person neither knowledgeable nor eloquent enough to do so.
- Indexed issues, last 90 days
- 6
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- Sep 8, 2026
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- Jul 6, 2026
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Picking at the Corpses of Giants (opens the original)
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I will say this up front: I’m writing this for my own catharsis. I am under no illusions that I will have succeeded in securing my desired outcome for the future by writing these words. That is not why I write them.If you haven’t already heard the news, OpenAI has released an article today claiming a solution to the Navier-Stokes Equations (NSE or N-S), one of the seven famous million-dollar problems of the Clay Mathematics Institute. If this holds up, it is, in fact, a big deal. Perhaps not for
Eros, Divine Madness, and Britney Spears (opens the original)
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Paying attention to song lyrics is a dangerous activity. Music already opens us up to life in ways we normally close off. Add lyrics to that, and suddenly you’re having an intensely emotional flashback to your first breakup, or a favorite memory with a cherished friend. Life sneaks in through music.One day I found myself—I do not recall when or where—in a place which had Britney Spears’ Toxic on. I paid attention to the lyrics, which I had never done before. Like many pop songs, Toxic is about r
The Skills Math Can Teach You (opens the original)
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“What numbers are you studying?”“Do you do long division for fun?”“How often do you use a calculator?”These are the sorts of questions I get asked when I tell the average person I’m pursuing a PhD in mathematics. Perfectly understandable though they may be, they nonetheless belie a fundamental misunderstanding of what math is about. For most people, math is about numbers and solving equations. Maybe something about “triangle similarity” or the “Cartesian plane”, depending on how much you paid at
Three Analogies for AI in Mathematics (opens the original)
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This series is, as I noted in my opening article, about the value of mathematics for humans. Unsurprisingly, I don’t want to spend half this series talking about AI doing mathematics; that’s missing the whole point! But I suspect that if I don’t talk about it at all, I will be inundated with people asking for my “views” on how this technological deluge will interact with mathematics. If you missed the article announcing this series, you can find it here:To be clear, this is an article about AI i
Mathematics is one of the Humanities (opens the original)
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A few weeks ago, my friend posted a note on his recent experiences returning to math courses after several years away from the world of numbers: At the end of the note, he asks:Incidentally, Lincoln was an exception here. He taught himself Euclid in his free time. Should more of us be doing that?For all the talk of “new humanism” or “renaissance men” where is the discourse around math as having a seat at the table?I, being the person that I am, left a several-paragraphs-long comment in
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