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Irrational
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::::::: It's published in 1581. By the time irrational numbers had been recognized across the world. [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 07:02, 22 February 2021 (UTC)
::::::: It's published in 1581. By the time irrational numbers had been recognized across the world. [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 07:02, 22 February 2021 (UTC)


:::::::: Thank you! Any links? I'm asking because I was unaware of this; and it is very interesting and dramatically related to music. You know, the discovery on the irrational numbers is often attributed to Híppasos (c. 530 — c. 450 BC, by the way), but this is not known for certain, it could have been found by some other person of that time, but this is also not completely certain. And then, all that story about the death of Híppasos, who could have been killed by Pythagoreans. The entire idea of mystical Pythagorean... how to call it?... something closer to superstition  than to science makes the idea of thinking of Pythagoreans and Pythagoras himself as of advanced mathematicians very questionable. No wonder some argue that the mathematical achievements of Pythagoras were faked, attributing them to, surprisingly,  Híppasos. By the way, some scholars believe the irrationality proof was related to √2, which is the tritone in music, exactly half of the octave, «most disharmonic» and a very important interval.
:::::::: Thank you! Any links? I'm asking because I was unaware of this; and it is very interesting and dramatically related to music. You know, the discovery on the irrational numbers is often attributed to Híppasos (c. 530 — c. 450 BC, by the way), but this is not known for certain, it could have been found by some other person of that time, but this is also not completely certain. And then, all that story about the death of Híppasos, who could have been killed by Pythagoreans... The entire idea of mystical Pythagorean... how to call it?... something closer to superstition  than to science makes the idea of thinking of Pythagoreans and Pythagoras himself as of advanced mathematicians very questionable. No wonder some argue that the mathematical achievements of Pythagoras were faked, attributing them to, surprisingly,  Híppasos. By the way, some scholars believe the irrationality proof was related to √2, which is the tritone in music, exactly half of the octave, «most disharmonic» and a very important interval. — [[User:SAKryukov|SA]], ''Tuesday 2021 February 23, 03:16 UTC''