A newly uncovered (or at least not well known) math identity raises the possibility that there is just one math structure in the universe. This structure may be intrinsically anarchistic.
Scientists believe that there is just one unifying force in the universe (the Grand Unified Theory). But a not-well-known math identity indicates that there may also be just one math structure.
The math constants pi and e appear in many physical equations (pi in gravitation and e in radioactive decay. If these two constants can be equated then all equations can now be written with just one, thus unifying the physical processes of the universe under on math structure.
The newly uncovered ( or not well known ) equation is:
2sin(e) - sin(2e) = pi/2.
As yet this equation has not been proved. But a comprehensive proof will be difficult because both pi and e are irrational.
This begs the question about irrationalty. The most obvious example of irrationalty is the square root of 2. But it is not often explianed that this irrationalty is due to the fact that 2 is a prime number. The exact proof is easily genralizable to the roots of all other primes.
More to the point, the sequence of primes is an anarchistic sequence. And most troubling is the implication that all sequences of natural numbers are also anarchistic (yes, even 1,2,3,4,5) They all presuppose the rule that they are meant to demonstrate.
In a recent book Badiou has tried to get around this by explaining the natural number sequence via set theory. But his argument (chapter 7) depends on the same object being both a part and an element of a set. But this seems impossible. So his procedure cannot, I believe, be used iteratively to show the "natural" ordering
of the natural numbers.
Thus it may be that irrationality may be just the anarchy that lies at the heart of maths (and all derivations just sophistications that have more or less utility (especially for capitalism).
The use of overwelming and overruling rationality has the the consquence of inflicting untold despair and suffering on the world and its creatures. You will experience this despair if you use some rational scheme to solve the world's problems.
The ancient Greeks were right when they fought for anarchy. "No overruling principle" is a call that should be adduced today. It is no accident that pi and the irrationality of root 2 were discovered by them.
(Some may argue that this article, by being rational (at least some of it!) must fall to its own argument. Although amusing this point must not be laughed at. Yes, all rational systems are slain by the Godel-Russell paradoxes of self-contradiction. But you dare not take up this sword, for your own safety).
ZDK
The math constants pi and e appear in many physical equations (pi in gravitation and e in radioactive decay. If these two constants can be equated then all equations can now be written with just one, thus unifying the physical processes of the universe under on math structure.
The newly uncovered ( or not well known ) equation is:
2sin(e) - sin(2e) = pi/2.
As yet this equation has not been proved. But a comprehensive proof will be difficult because both pi and e are irrational.
This begs the question about irrationalty. The most obvious example of irrationalty is the square root of 2. But it is not often explianed that this irrationalty is due to the fact that 2 is a prime number. The exact proof is easily genralizable to the roots of all other primes.
More to the point, the sequence of primes is an anarchistic sequence. And most troubling is the implication that all sequences of natural numbers are also anarchistic (yes, even 1,2,3,4,5) They all presuppose the rule that they are meant to demonstrate.
In a recent book Badiou has tried to get around this by explaining the natural number sequence via set theory. But his argument (chapter 7) depends on the same object being both a part and an element of a set. But this seems impossible. So his procedure cannot, I believe, be used iteratively to show the "natural" ordering
of the natural numbers.
Thus it may be that irrationality may be just the anarchy that lies at the heart of maths (and all derivations just sophistications that have more or less utility (especially for capitalism).
The use of overwelming and overruling rationality has the the consquence of inflicting untold despair and suffering on the world and its creatures. You will experience this despair if you use some rational scheme to solve the world's problems.
The ancient Greeks were right when they fought for anarchy. "No overruling principle" is a call that should be adduced today. It is no accident that pi and the irrationality of root 2 were discovered by them.
(Some may argue that this article, by being rational (at least some of it!) must fall to its own argument. Although amusing this point must not be laughed at. Yes, all rational systems are slain by the Godel-Russell paradoxes of self-contradiction. But you dare not take up this sword, for your own safety).
ZDK
