His proof was over 100 pages long and took him seven years to complete. ✍️
Fermat’s last theorem is one of the most famous and challenging problems in mathematics. It was first stated by Pierre de Fermat, a French lawyer and amateur mathematician, in the margin of a copy of Diophantus’s Arithmetica. He claimed to have a proof that was too large to fit in the margin, but he never revealed it to anyone. The theorem remained unproven for more than three centuries, despite the efforts of many mathematicians.
The first complete proof of Fermat’s last theorem was given by Andrew Wiles, a British mathematician, in 1995. He used techniques from algebraic geometry and number theory that were not available in Fermat’s time. His proof was over 100 pages long and took him seven years to complete.
Wiles’s proof was initially flawed, as he discovered a gap in his argument in 1993. He had to work with another mathematician, Richard Taylor, to fix the error and publish a revised version of his proof in 1994.
More than 1,000 overlooked microproteins in human brain tissue have been detected, including some that are altered in Alzheimer’s disease
https://t.co/4BE9xLFs5e
When we stop force-feeding our minds, we have the opportunity to digest and detoxify. We should also be careful about the quality of information we consume. A bad diet is bad for you in more ways than one.
The first letter of the genetic code was cracked #OTD in 1961 at 3am by Marshall Nirenberg (right) and Heinrich Matthaei (left) at the @NIH.
Nirenberg shared the 1968 medicine prize with Har Gobind Khorana and Robert Holley for their work on the genetic code.
@mindfulmaven_ not true. mind is the seat of emotions and intellect. lol and yeah also, there should always be balance bw intellect n emotions. either not necessarily be stronger than the other.
The electron has no surface. When you imagine an electron… You probably think of a tiny sphere orbiting a nucleus. But that's an outdated image. In modern physics, the electron has no boundary. It has no "skin." It has no measurable surface. As far as we've been able to measure… It behaves like a point particle. With no detectable size. With no known internal structure. It's not a little ball. It's an excitation of a quantum field that exists throughout the universe. That means something unsettling: When you "touch" something… There's never actually any solid contact. It's electric fields repelling each other. So, here's the thing: If the electron has no surface… What exactly are you touching right now?
The Universe Is Not Self-Existent
The sovereignty of God is unlimited.
It is the fundamental fact of all creation.
The universe was not inevitable.
The universe is not an accident.
Neither is it self-existent.
The universe is a work of creation—
and therefore wholly subject
to the will of the Creator.
The Urantia Book 3:6.2
Human intelligence cannot be separated from the body.
Our ability to solve problems did not evolve in abstraction.
It evolved in a grounded world where problems had consequences.
Life or death.
Food or starvation.
Sex, survival, reproduction.
Because of this, when we think, we do not just compute solutions.
We evaluate them.
Every potential action carries value.
Sometimes biological: survival, safety, reproduction.
Sometimes symbolic: reputation, legacy, meaning.
We write books not just to transmit information, but to leave a mark.
To reach a form of symbolic immortality.
Our intelligence is not just problem-solving.
It is goal-directed sense-making shaped by evolution.
Human intelligence is teleological: it has purpose, ends, goals.
Artificial intelligence is extraordinary at solving certain classes of problems.
But it did not pass through the evolutionary pressures that forged human intelligence.
When an AI system writes a paragraph, it does not want anything.
It is not trying to survive.
It is not trying to matter.
It produces outputs without stakes, without goals, without scope.
AI might just stand for:
Ateleological Intelligence.
An intelligence capable of generating solutions without having any purpose, end, goals.