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webdevMason's profile
Mason 🏃‍♂️✂️
Mason 🏃‍♂️✂️
Mason  🏃‍♂️ ✂️
@webdevMason

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Mason  🏃‍♂️ ✂️

@webdevMason

patreon.com/masonhartman
Joined July 2015

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    1. Mason  🏃‍♂️ ✂️‏ @webdevMason 8 May 2019
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      Replying to @webdevMason @AaronFriel @davis_yoshida

      If you convince yourself that "math" is just whatever the current fallible mathematicians persuade each other it is, and there's nothing deeper, you have to explain why rockets care what mathematicians think.

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    2. Friel‏ @AaronFriel 8 May 2019
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      Replying to @webdevMason @davis_yoshida

      Engineering and math are different things, and rockets don't care about computable numbers or the axiom of choice or the excluded middle, but mathematicians think about these things. Do you define truth based on what rocket scientists care about?

      1 reply 0 retweets 0 likes
    3. Mason  🏃‍♂️ ✂️‏ @webdevMason 8 May 2019
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      Replying to @AaronFriel @davis_yoshida

      Math is integral to physics, engineering, etc. Not all mathematical concepts will be forced to contend with reality anytime soon, but when they do, nobody gets to say "my math was right, the rocket was wrong."

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    4. Friel‏ @AaronFriel 8 May 2019
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      Replying to @webdevMason @davis_yoshida

      I think this gets to the heart of it then: most of the "ground truths" that those folks care about are algorithms that people find useful, mixed in with a huge array of experimentally derived "constants" and coefficients. That's pretty far from Matt's philosophy of math reference

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    5. Friel‏ @AaronFriel 8 May 2019
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      Replying to @AaronFriel @webdevMason @davis_yoshida

      One of my favorite math facts is that a biology paper got dozens of citations in top journals because it described how to find the area under the curve for metabolic studies. Math is a tool those folks reach to because it's useful, not a thing full of universal ground truths.

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    6. Friel‏ @AaronFriel 8 May 2019
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      Replying to @AaronFriel @webdevMason @davis_yoshida

      I don't think engineers, etc, usually care what mathematicians think. They like that it gives them useful tools to solve problems. If Dr. Tai's method has a flaw because he didn't prove its error bounds or that it converges, it doesn't matter. True != useful.

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    7. Mason  🏃‍♂️ ✂️‏ @webdevMason 8 May 2019
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      Replying to @AaronFriel @davis_yoshida

      I think we're approaching an impasse, if you see no strong relationship between truth and usefulness in e.g. math/physics/engineering. I don't even really know what you *can* mean by "useful" if it bears no relationship to ground truths about the world.

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    8. Friel‏ @AaronFriel 8 May 2019
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      Replying to @webdevMason @davis_yoshida

      Because for the most part, like with software engineering, whether or not code is formally verified or some biologist's method of integration is proved to converge often has little bearing on whether either method is used. What ground truth is there?

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    9. Mason  🏃‍♂️ ✂️‏ @webdevMason 8 May 2019
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      Replying to @AaronFriel @davis_yoshida

      AFAICT your statement and your question are non sequiturs. I'm not sure where to go from here, because I seem to be saying "squares are rectangles" and you seem to be saying "plenty of rectangles aren't squares" — in order to defend the claim that squares aren't a real thing

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    10. Friel‏ @AaronFriel 8 May 2019
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      Replying to @webdevMason @davis_yoshida

      Is integration that isn't proven correct integration? Even if they don't know what it is and lack the tools to know why it converges?

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      Mason  🏃‍♂️ ✂️‏ @webdevMason 8 May 2019
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      Replying to @AaronFriel @davis_yoshida

      A child doesn't have to know what "weight" *is* — that it's a function (and measure) of gravity — in order to put it to use deciding whether they'll be able to pick something up. It's useful because of facts about the world unknown to the child. The map is not the territory.

      10:19 PM - 8 May 2019
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        2. Friel‏ @AaronFriel 8 May 2019
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          Replying to @webdevMason @davis_yoshida

          Useful != true. It'll also be the case that most of the things they drop will appear to fall at a constant rate, and that air has no resistance, and so on.

          1 reply 0 retweets 0 likes
        3. Mason  🏃‍♂️ ✂️‏ @webdevMason 8 May 2019
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          Replying to @AaronFriel @davis_yoshida

          As soon as they try to do anything where the reality of whether or not air creates resistance bears on the outcome, their predictions will start failing. Right up until then, "air has no resistance" will work fine. Maps can be accurate enough for some purposes and not others

          1 reply 0 retweets 1 like
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