Loyd Gardner

A curious lurker.

[Loyd Gardner @puzzlegarden]

@james_y_zou @matei_zaharia I don't believe that GPT-4 was ever capable of identifying five-digit prime numbers. Testing 17077 for primality requires 31 trial divisions, and it is exceedingly unlikely that an LLM would perform them all correctly. (gpt-3.5-turbo only got 3 right when I tried it)

[Loyd Gardner @puzzlegarden]

@6myrnyi @erasmuse This was a conference talk. If it's ever published, I'm sure that they will cite Zimba's magnum opus. Until then, leave the girls alone.

[Loyd Gardner @puzzlegarden]

@6myrnyi @erasmuse It is nitpicking. The existence of an obscure paper with only 14 citations doesn't contradict anything in the abstract. Nobody cares about the "first" proof using trig except the popular media.

[Loyd Gardner @puzzlegarden]

@6myrnyi @erasmuse The word "always" in the first line of the abstract should be replaced with "often", but this is a nitpick, and it's petty.

[Loyd Gardner @puzzlegarden]

@6myrnyi @erasmuse That's not exactly how they advertised it.

[Loyd Gardner @puzzlegarden]

@6myrnyi @erasmuse No, the proofs are entirely different. Zimba derived the Pythagorean theorem from the subtraction formulas for sine and cosine. Johnson and Jackson used the law of sines and the sum of an infinite geometric series.

[Loyd Gardner @puzzlegarden]

@ProfFeynman That's a fake quote (obviously), but this one is totally real.

[Loyd Gardner @puzzlegarden]

@FionaFibration Every free group is either isomorphic to the integers or contains every free group of countable rank.

[Loyd Gardner @puzzlegarden]

@JeremyRedfernFL Watch the video. They aren't proposing to reduce rice production, but rather to recycle straw to create organic fertilizer instead of burning it.

[Loyd Gardner @puzzlegarden]

@DiracDeltaFunk Vg'f orra n juvyr, ohg vg frrzf gb zr gung jr pbhyq pbafgehpg n ahyy-ubzbgbcl bs nal pheir va E^3 \ D^3 nf n havsbez yvzvg bs ahyy-ubzbgbcvrf nibvqvat 1/a! M^3 sbe rnpu a.

[Loyd Gardner @puzzlegarden]

@JasonSCampbell That's like smearing shit all over your walls to remember that you hate excrement.

[Loyd Gardner @puzzlegarden]

@jkinsethmath This looks like the game of SET with two attributes.

[Loyd Gardner @puzzlegarden]

@berggrenpeterm @xriskology Because to a longtermist, the hypothetical survival of 10^58 digital people outweighs the well-being of 8*10^9 actual people. This is why longtermism is so incredibly dangerous.

[Loyd Gardner @puzzlegarden]

@joelwatsonfish @SincerelyData Here's the proof that the girls discovered. It appears to be entirely original.
https://t.co/m7pbfs5dUQ

[Loyd Gardner @puzzlegarden]

@joelwatsonfish Helping to popularize math by sharing a feel-good story about two smart high school girls who made a mathematical discovery, related to a topic that most readers can understand. We can quibble about the importance of the proof or we can celebrate youthful ingenuity.

[Loyd Gardner @puzzlegarden]

@guardian This is wrong. The definitions of the trigonometric functions do not rely on the Pythagorean theorem. They only require similar triangles.

[Loyd Gardner @puzzlegarden]

@natepentz They should provide a paper menu upon request. Otherwise it's discrimination, and it should be illegal. I won't patronize a restaurant that doesn't care about accessibility.

[Loyd Gardner @puzzlegarden]

@SuperBookSports Your employee was slandered in the most vile manner, and you threw her under the bus.

[Loyd Gardner @puzzlegarden]

@MrCorleyMath Full credit, because they clearly understand the concept. But I would ask the student to imagine that they are explaining the answer to someone who isn't as clever as they are.

[Loyd Gardner @puzzlegarden]

@elonmusk Great idea to give Internet marketers detailed information on how to hack the recommendation engine, while fucking over ordinary users who don't have time for SEO optimization.