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brownian19's profile
nick
nick
nick
@brownian19

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nick

@brownian19

raised in stem, stretching out into myth, meditation & meanings. bootstrappin' structure. let's chat.

Canberra, Australia
nickaustinbrown.github.io
Joined October 2018

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    1. Hazard (a.k.a Twirl)‏ @natural_hazard 9 Dec 2019
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      1). old school philosophers looked around at the natural world and said "fuck that shit, no way there's deep order to this. Geometry though, that's hot."

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    2. Hazard (a.k.a Twirl)‏ @natural_hazard 9 Dec 2019
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      2) up until Godel/Turing/Church stuff, being formal and mathematical meant "this can be perfectly understood, it's just a matter of proving it. What would it even mean for there to be inaccessible mathematical truths? If it's there, I could find it.

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    3. Hazard (a.k.a Twirl)‏ @natural_hazard 9 Dec 2019
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      3) no oracle for the halting problem. Infinite hierarchies of uncomputability. Arithmatical statements that can't be proven. Rice's theorem "almost all non trivial program behavior is undecidable"

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    4. Hazard (a.k.a Twirl)‏ @natural_hazard 9 Dec 2019
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      4) this ain't an attack on "1+1=2". That's pretty safe. Point is that math has the same upper realms of unknowability/unprovability that empirical investigation of the world has. It just took us a while to find it.

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    5. Hazard (a.k.a Twirl)‏ @natural_hazard 9 Dec 2019
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      5) fyi I haven't yet figured out how this claim matters, except that I expect it to prevent me from making some amount of confused claims about the nature of math/science/epistemology and building a castle around them

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    6. Hazard (a.k.a Twirl)‏ @natural_hazard 9 Dec 2019
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      6) so "math is lame" "you can't trust math" "you should be as sure of scientific theories as you should be of 1+1=2" are not my point.

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    7. Hazard (a.k.a Twirl)‏ @natural_hazard 9 Dec 2019
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      7) math has a complex hierachy of statements going from decidable, to semi-decidable, and upwards forever increasing in complexity. Empirical questions have a similar complexity hierarchy! "sun rises tomorrow" = verifiable. Wait and check.

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    8. Hazard (a.k.a Twirl)‏ @natural_hazard 9 Dec 2019
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      8) empirical and formal questions of the same complexity are more similar to each other than questions of the same "type" that are at different orders of complexity. Formal/Empirical is less useful than verifiable/unverifiable

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    9. Hazard (a.k.a Twirl)‏ @natural_hazard 9 Dec 2019
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      9) but demons! stray photons! illuuuuuusions!!!👻👻 nothing illusion args from applying to you thinking about math "If I did the proof right, this is true" "If the telescope is working, that star went supernova"

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    10. Hazard (a.k.a Twirl)‏ @natural_hazard 9 Dec 2019
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      10) you become more sure of empirical facts as you measure multiple times, get independent verification, all that. Mathematical facts are highly abstract patterns in reality, abstract enough that you can "measure" them by thinking. Yes, the lab is in your head, no, it aint magic

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      nick‏ @brownian19 Mar 29
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      Replying to @natural_hazard

      pic.twitter.com/9z4ovbZ7Qs

      11:50 PM - 29 Mar 2020
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      • Hazard (a.k.a Twirl)
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