Reality: God is a mathematician (General)

by David Turell @, Tuesday, November 23, 2021, 18:39 (11 days ago) @ David Turell

Much of reality follows mathematical designs:

https://www.realclearscience.com/2021/11/23/humans_didnt_invent_math_the_world_is_made_...

"Bees in hives produce hexagonal honeycomb. Why?

"According to the “honeycomb conjecture” in mathematics, hexagons are the most efficient shape for tiling the plane. If you want to fully cover a surface using tiles of a uniform shape and size, while keeping the total length of the perimeter to a minimum, hexagons are the shape to use.

***

"Here’s another example. There are two subspecies of North American periodical cicadas that live most of their lives in the ground. Then, every 13 or 17 years (depending on the subspecies), the cicadas emerge in great swarms for a period of around two weeks.

"Why is it 13 and 17 years? Why not 12 and 14? Or 16 and 18?

'One explanation appeals to the fact that 13 and 17 are prime numbers.

"Some cicadas have evolved to emerge from the ground at intervals of a prime number of years, possibly to avoid predators with life cycles of different lengths.

"Well, compare a 13-year life cycle and a 12-year life cycle. When a cicada with a 12-year life cycle comes out of the ground, the 2-year, 3-year and 4-year predators will also be out of the ground, because 2, 3 and 4 all divide evenly into 12.

"When a cicada with a 13-year life cycle comes out of the ground, none of its predators will be out of the ground, because none of 2, 3, 4, 5, 6, 7, 8 or 9 divides evenly into 13. The same is true for 17.

***

"Once we start looking, it is easy to find other examples. From the shape of soap films, to gear design in engines, to the location and size of the gaps in the rings of Saturn, mathematics is everywhere.

"If mathematics explains so many things we see around us, then it is unlikely that mathematics is something we’ve created. The alternative is that mathematical facts are discovered: not just by humans, but by insects, soap bubbles, combustion engines and planets.

***

"The ancient Pythagoreans agreed with Plato that mathematics describes a world of objects. But, unlike Plato, they didn’t think mathematical objects exist beyond space and time.

Instead, they believed physical reality is made of mathematical objects in the same way matter is made of atoms.

"If reality is made of mathematical objects, it’s easy to see how mathematics might play a role in explaining the world around us.

***

"In the past decade, two physicists have mounted significant defences of the Pythagorean position: Swedish-US cosmologist Max Tegmark and Australian physicist-philosopher Jane McDonnell.

"Tegmark argues reality just is one big mathematical object. If that seems weird, think about the idea that reality is a simulation. A simulation is a computer program, which is a kind of mathematical object.

"McDonnell’s view is more radical. She thinks reality is made of mathematical objects and minds. Mathematics is how the Universe, which is conscious, comes to know itself.

"I defend a different view: the world has two parts, mathematics and matter. Mathematics gives matter its form, and matter gives mathematics its substance.

"Mathematical objects provide a structural framework for the physical world.

"It makes sense that Pythagoreanism is being rediscovered in physics.

"In the past century physics has become more and more mathematical, turning to seemingly abstract fields of inquiry such as group theory and differential geometry in an effort to explain the physical world.

"As the boundary between physics and mathematics blurs, it becomes harder to say which parts of the world are physical and which are mathematical.

"But it is strange that Pythagoreanism has been neglected by philosophers for so long.

"I believe that is about to change. The time has arrived for a Pythagorean revolution, one that promises to radically alter our understanding of reality. "

Comment: "Is God a Geometer" is a book published many years ago recognizing this approach. Our minds can see the inherent conceptual math which this article shows is a necessary part of reality. But this does not mean reality is psychic.


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