Science Memes

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371

after you pi (quokk.au)

submitted 21 hours ago by Deceptichum@quokk.au to c/science_memes@mander.xyz

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[–] sun_is_ra@sh.itjust.works 2 points 18 hours ago (2 children)

Could anyone explain this joke plz?

[–] SomethingBurger@jlai.lu 13 points 18 hours ago (2 children)

π has an infinite amount of decimals.

[–] yetAnotherUser@discuss.tchncs.de 2 points 10 hours ago (1 children)

So does every number:

6.000000....

[–] Johandea@feddit.nu 3 points 7 hours ago

Or 5.999... It's equal to 6 but it appears to have a much more impressive decimal expansion

[+] RobotFK@lemmy.blahaj.zone -7 points 18 hours ago (1 children)

We asume

[–] FishFace@piefed.social 10 points 18 hours ago* (last edited 15 hours ago) (2 children)

Nope, the proof has been known since ~~ancient times~~ the 18th century!

[–] RobotFK@lemmy.blahaj.zone 3 points 11 hours ago

Thanks for the info :)

[–] mkwt@lemmy.world 11 points 16 hours ago (1 children)

The proof is not that ancient. Pi was proven to be irrational in 1761, and proven to be transcendental in 1882.

For a long time the problem was known as "squaring the circle": Given a circle in a plane, construct a square with the same area using a compass and straightedge. This was a famous unsolved problem in mathematics from antiquity all the way through the renaissance.

[–] FishFace@piefed.social 4 points 15 hours ago

Thanks for the correction - misremembered that.

A slight clarification in return: the constructible numbers are a strict subset of the algebraic (i.e. non-transcendental) real numbers.

(The constructible numbers are those numbers resulting from the closure of the rational numbers under square roots.)

This means that although the proof of pi's transcendentality proved that squaring the circle is impossible, it could have been the case that pi was neither transcendental nor constructible. A simple example of such a number is the cube root of 2.