@boarders.bsky.social

Thanks to impermanence all things are possible Working on a book on topos theory

pragmatists: truth is when our activities cohere to bring about outcomes in some systematic, repeatable form other philosophers : wow no, that is dangerously stupid, truth is when some abstract relation holds with Metaphysical Reality

there are certain technologies where they will change how you think in a profound way, books are one, in mathematics, an interactive theorem prover is another, I have tried them extensively but I have not found llms to be one, and it leads me to strongly doubt the vision of personalized tutors

@boarders.bsky.social · 4d ago

that is to say: I wouldn’t say it is clear-cut even in the areas that these systems currently accelerate that it necessarily points to a timeline of total outclassing of humans in the domains, personally I have tried them extensively as tutors and books are still way way better

dana scott’s existence predicate is a v nice way to understand what is wrong with an argument like: “the greatest prime number doesn’t exist” to “there exists something that doesn’t exist”

One of the main ideas of synthetic differential geometry is doing geometry in a setting where the tangent bundle is a representable functor, as in there is a space that embodies the "free walking tangent vector" D such that maps D -> M correspond to tangent vectors in M. Therefore we have TM = M^D

how does anyone actually use the claude app on their phone to write code? It doesn’t seem to allow you to see the full commands it wants to run or show the full file edits it wants to make? am I missing something totally obvious here?

“What the proprietorship of these papers is aiming at is power, and power without responsibility — the prerogative of the harlot through the ages.”

If you wanna make llm criticism your main thing (heavens knows why one would) you should perhaps minimally know how to use the tools better than a university student, have a benchmark for what you would consider actually impressive, and have used a model more recently than 2023

social media giving people dysmorphia about their bodies, their intelligence, their financial situation, their latent sense of how much ennui is appropriate to modern life … ah well, probably nothing to worry about

have been working on my own haskell-ish json query language (which also compiles to jq) and I'm really starting to be happy with how it looks

terminal showing various queries to a binary called birdq in the style of a haskell-ish version of jq showing coloured terminal output

As Joyal says, toposes generalizes spaces by having an underlying _category_ (as opposed to set) of points and so can have e.g. ‘stacky’ points with non-trivial symmetry groups (e.g. BG) — getting to know them is coming to understand some of what that entails or doesn’t

“must discursive alien cognizers have space and time as the pure form of the sensibilities, and if so what form does that knowledge take?” - the greatest thread in the history of kantian scholarship, locked by a moderator after 354 transcendental arguments

doing a new bit where if someone says “the earth moves around the sun”, I reply “not from my reference frame it doesn’t”

It is cool that the most famous argument against functionalism simply describes some elaborate mechanism for computation then says “look see”