How Do Art and Revolutionary Scientific Theories Intersect?

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Discussion Overview

The discussion explores the intersection of art and revolutionary scientific theories, with a particular focus on mathematical concepts and the validity of Fermat's Last Theorem. Participants share personal insights, artistic inspirations, and engage in a debate regarding the proof of Fermat's Last Theorem and its implications in mathematics.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant expresses that their artistic inspiration stems from mathematics and revolutionary scientific ideas, mentioning concepts like "free energy" and "morphic resonance."
  • Another participant challenges the validity of Fermat's Last Theorem, suggesting that it has not been proven due to the complexities involved with infinitely large and small numbers.
  • A different participant argues that to claim a theorem is unproven, one must identify a flaw in the existing proof, referencing the history of incorrect proofs related to Fermat's Last Theorem.
  • Some participants note that Wiles' original proof of Fermat's Last Theorem had a gap that was later fixed, indicating the evolving nature of mathematical proofs.
  • There is speculation about the possibility of Fermat's original proof being flawed, with one participant suggesting that vested interests could alter perceptions of mathematical truths.
  • Gödel's incompleteness theorems are mentioned as relevant to the discussion of mathematical consistency and the nature of proofs.

Areas of Agreement / Disagreement

Participants express differing views on the validity of Fermat's Last Theorem and the nature of mathematical proofs. There is no consensus on whether the theorem has been definitively proven or if Fermat's original proof could have been flawed.

Contextual Notes

The discussion includes references to complex mathematical concepts and the implications of infinity in mathematics, which may not be fully resolved within the conversation.

pete mcclure
Greetings...i am an Independent Artist and my greatest inspiration has come from maths/geometry...i also have an interest in revolutionary scientific ideas such as "free energy" as proposed by Nikola Tesla..."biological transmutation" as proposed by Dr. Kervran and..."morphic resonance" as proposed by Sheldrake and such subjects as: "self replicating machines"..."zero point energy"..."super conductors at room temprature"...
I do think The Artist has a role to inspire mathematicians/scientists and indeed good artists with a well developed imagination (eg:S.F. writers) are capable of a bit of latteral thinking and finding novel ways of solving problems.
I am not mathematically/scientifically qualified but in the past have solved geometric problems (that others more qualified than me claimed was impossible) that have led to paintings/images eg: "Penrose's Conundrum"..."Puzzle No.2"..."Mcclure's Matrix"..."Modular Matrix"...which are just a few examples...

Bending with the wind
The Taoist gathers water...
In a straw hat

Best regards pete mcclure.

PS: contrary to common held belief i do not think that Fermat's last Theorem has been proved because when we are dealing with infinitely large numbers a lot mathematical laws do not apply (in the heart of my very being i know the theorem to be false) equally with infinitely small particles the known laws of physics do not apply...it is the duty of any mathematicl/scientific enquiry to search for "the exception that proves the rule"...
 
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pete mcclure said:
PS: contrary to common held belief i do not think that Fermat's last Theorem has been proved because when we are dealing with infinitely large numbers a lot mathematical laws do not apply (in the heart of my very being i know the theorem to be false) equally with infinitely small particles the known laws of physics do not apply...it is the duty of any mathematicl/scientific enquiry to search for "the exception that proves the rule"...

But it's not just enough for someone to declare that they do not think a theorem has been proved. If there is a proof of a mathematical theorem that has been given, then the only way in which one can say it is not true is if one finds a flaw in the proof.
 
cristo said:
But it's not just enough for someone to declare that they do not think a theorem has been proved. If there is a proof of a mathematical theorem that has been given, then the only way in which one can say it is not true is if one finds a flaw in the proof.
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Howard Eves said:
Fermat's Last Theorem, has the peculiar distinction of being the mathematical problem for which the greatest number of incorrect proofs have been published.
and most interestingly, Wiles original proof did contain a gap, which has been fixed. The mathematics involved are quite beautiful.
 
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Its certainly not the proof Fermat could have used. Finding that would be nice.
 
Kurdt said:
Its certainly not the proof Fermat could have used. Finding that would be nice.
Is it not likely Fermat's proof was flawed?
 
Fermat's last theorem.

...and no doubt if a University/Institution offered thr equivalent of a million pounds 350 yrs ago to disprove Fermats last Thereom mathematicians would have been beavering away to disprove it...and it would eventually be disproved...vested interest has the property of altering reality...somewhere out there some higher intelligence is laughing and may-be Fermat too!
Have a nice day pete mcclure.
 
humanino said:
Is it not likely Fermat's proof was flawed?

Possibly, but I guess we will never know for certain.
 

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