Commissar SFLUFAN Posted April 12, 2023 Share Posted April 12, 2023 US teens say they have new proof for 2,000-year-old mathematical theorem | New Orleans | The Guardian WWW.THEGUARDIAN.COM New Orleans students Calcea Johnson and Ne’Kiya Jackson recently presented their findings on the Pythagorean theorem Quote Two New Orleans high school seniors who say they have proven Pythagoras’s theorem by using trigonometry – which academics for two millennia have thought to be impossible – are being encouraged by a prominent US mathematical research organization to submit their work to a peer-reviewed journal. Calcea Johnson and Ne’Kiya Jackson, who are students of St Mary’s Academy, recently gave a presentation of their findings at the American Mathematical Society south-eastern chapter’s semi-annual meeting in Georgia. They were reportedly the only two high schoolers to give presentations at the meeting attended by math researchers from institutions including the universities of Alabama, Georgia, Louisiana State, Ohio State, Oklahoma and Texas Tech. And they spoke about how they had discovered a new proof for the Pythagorean theorem. The significance of this achievement: for a very long time, the notion existed that using trigonometry -- a mathematics largely based on proofs that are themselves derived from the Pythagorean theorem -- to prove the Pythagorean theorem amounts to circular logic: Quote As mentioned in the abstract of Johnson and Jackson’s 18 March mathematical society presentation, trigonometry – the study of triangles – depends on the theorem. And since that particular field of study was discovered, mathematicians have maintained that any alleged proof of the Pythagorean theorem which uses trigonometry constitutes a logical fallacy known as circular reasoning, a term used when someone tries to validate an idea with the idea itself. Johnson and Jackson’s abstract adds that the book with the largest known collection of proofs for the theorem – Elisha Loomis’s The Pythagorean Proposition – “flatly states that ‘there are no trigonometric proofs because all the fundamental formulae of trigonometry are themselves based upon the truth of the Pythagorean theorem’.” But, the abstract counters, “that isn’t quite true”. The pair asserts: “We present a new proof of Pythagoras’s Theorem which is based on a fundamental result in trigonometry – the Law of Sines – and we show that the proof is independent of the Pythagorean trig identity sin2x+cos2x=1.” In short, they could prove the theorem using trigonometry and without resorting to circular reasoning. This video illustrates how their proof works: 4 2 Quote Link to comment Share on other sites More sharing options...
TUFKAK Posted April 12, 2023 Share Posted April 12, 2023 Nerds 2 1 1 Quote Link to comment Share on other sites More sharing options...
Zaku3 Posted April 12, 2023 Share Posted April 12, 2023 19 minutes ago, TUFKAK said: Nerds Based ones tbh. Quote Link to comment Share on other sites More sharing options...
Jason Posted April 12, 2023 Share Posted April 12, 2023 22 minutes ago, TUFKAK said: Nerds 1 Quote Link to comment Share on other sites More sharing options...
unogueen Posted April 12, 2023 Share Posted April 12, 2023 MATH IS A LANGUAGE. It's not all true but it works well enough. Fucking people with nothig but grade 10 knowledge. Quote Link to comment Share on other sites More sharing options...
stepee Posted April 12, 2023 Share Posted April 12, 2023 Counterpoint: This math will be used to create the very thing that destroys humanity yes, I know you still think this is good news :P 1 Quote Link to comment Share on other sites More sharing options...
Anathema- Posted April 12, 2023 Share Posted April 12, 2023 In this case the nerds appear to be the ones who thought nothing in trigonometry could be proven independent of the Pythagorean theorem. Quote Link to comment Share on other sites More sharing options...
SoberChef Posted April 12, 2023 Share Posted April 12, 2023 Pretty sure I just failed this math class merely by entering this thread. 1 Quote Link to comment Share on other sites More sharing options...
SuperSpreader Posted April 12, 2023 Share Posted April 12, 2023 Tired of this woke math smh Quote Link to comment Share on other sites More sharing options...
SuperSpreader Posted April 12, 2023 Share Posted April 12, 2023 I like my math American like Algebra not this socialist trigonometry. 1 Quote Link to comment Share on other sites More sharing options...
Fizzzzle Posted April 12, 2023 Share Posted April 12, 2023 1 Quote Link to comment Share on other sites More sharing options...
Keyser_Soze Posted April 12, 2023 Share Posted April 12, 2023 I already knew this but didn't tell anyone. Quote Link to comment Share on other sites More sharing options...
marioandsonic Posted April 12, 2023 Share Posted April 12, 2023 I love that I was able to follow and understand that video. I still got it 1 Quote Link to comment Share on other sites More sharing options...
Zaku3 Posted April 12, 2023 Share Posted April 12, 2023 9 hours ago, stepee said: Counterpoint: This math will be used to create the very thing that destroys humanity Hide contents yes, I know you still think this is good news :P Counter point: Humanity actually destroys itself with what Chaos in Warhammer represents. Also To balance out the grim dark brought on by stepee. I present Emus and humans playing with a soccer ball. There might be hope for life on this planet. 1 Quote Link to comment Share on other sites More sharing options...
b_m_b_m_b_m Posted April 12, 2023 Share Posted April 12, 2023 11 hours ago, Commissar SFLUFAN said: American Mathematical Society south-eastern chapter’s semi-annual meeting in Georgia. They were reportedly the only two high schoolers to give presentations at the meeting attended by math researchers from institutions including the universities of Alabama, Georgia, Louisiana State, Ohio State, Oklahoma and Texas Tech. Mathematicians and not geographers I see Quote Link to comment Share on other sites More sharing options...
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