Where does mathematics come from? This is a question that discusses some of the most outstanding mathematical minds.
Some find that we reveal them, the ones we invent them; Some people think they are open and invented, but some admit they do not know.
The jury is very divided.
But there is something that both sides had to consider all the parties: Plato, one of the most important figures of Ancient Greece, ideas.
As the famous philosopher has said, to this day there is a basis for what many scientists think about the origin of mathematics.
Fundamentally, but individually
There was no doubt in ancient Greece, because everything seemed to indicate that mathematics was something we discovered.
Because of Pythagoras and his followers, they were the window gods in the world.
But there is more: although they are a vital part of the world in which we live, they are in some way, oddly separated from him.
An attempt to understand this seeming paradox is an essential point the dilemma of the origin of mathematics.
And that's what Plato did.
In another kingdom
The philosopher is fascinated by geometric shapes that could be created following the laws of mathematics, which, in his opinion, comes from deities.
To understand what he said, we will use a flat, closed curve in which all the points are the same distance from the center.
Better said: the circumference.
It's possible that you've ever had to make one that you tried to make yourself look good and that it definitely worked for you, although it's not perfectly perfect.
So, you had access to the most accurate computer in the world, your circumference would not be perfect.
Sufficient access and any physical surroundings, as well as the circle that determines will be cripples and gaps.
According to Platon, this is due to the fact that there is no circumference or flawless bows in the real world; the perfect circle lives in a divine perfect shape in the world, a kind of sky where you can find all the maths, but only if you are a true believer.
The philosopher also was convinced that everything in space could be depicted with 5 solid objects known as the platonic solids.
Thus, the Earth was a solid rock cube. The fire was a very theoretical tetrahedron. The air was eight octaves, but the iosoder with 20 triangular edges represents water.
The last Platonic hardness, dodekaedrs, covers the entire universe.
There is something special about platonic solids. These are the only items in which all parties have the same formand there are only five.
No matter how hard you try, you will never find another object with these unique mathematical features.
Plato thought that all of these forms existed in a perfect shape in a world that is beyond our reach – the simple mortal – the place we call it platinum.
Although these ideas may seem a little crazy, many people believe in them, and these people seem to be normal.
"Platonic solids I have A great example is that math is not an invention"says Max Tegmark, Professor of Physics and Mathematics at the Massachusetts Institute of Technology (MIT).
"When the ancient Greeks discovered that they existed, they could invent their own words." The 12-person person was called dode-kaedron. But the clean dodkaedrs was already there to discover it, "says Tegmark.
"I have a Platonic vision that there are triangles, numbers, circles around," says physics philosopher Eleanor Knox. they are part of this mathematical landscape I have explored. "
But not everyone believes in this mathematical truth in the Platonic world.
"I think so The planetary world is the human head"says astrophysics Hiranya Peiris," It's our imagination product, "he adds.
"I understand people who really believe in this other realm of reality, and especially if they think and study day and night in this kingdom," says Brian Green, a professor of physics and mathematics at Columbia University.
"That does not mean it's real", decrees.
Plato would disagree.
He encouraged us to believe in this other world where all mathematics can be found, and not to disappear and think that the whole world has everything for us.
He warned what we perceive as a reality is nothing but shadows.
Two thousand years later …
More than 2000 years ago, Plato used form geometry as evidence of God's influence, ideas that were limited by senses and imagination.
Today Geometry is at the forefront of science.
The new technologies have allowed us to look at a world that is beyond our senses, and once again it seems that the natural world is indeed written in the language of mathematics.
This is a virus model.
Immediately you will notice its geometric shape: it is one of the Platonic solids.
Reidun Twarock, a professor of mathematics at the University of York, and her colleagues have developed a computer simulation that puts the microcosm in the center of the virus.
"We are trying to understand how this virus develops, and therefore we create the illusion of being inside a virus, a condition that usually finds genetic material," explains BBC Reidun.
So they discovered it The virus uses the power of math to create its outer wall the fastest and most effective way.
Armed with this knowledge, Reidun is trying to find a way to prevent the spread of viruses, such as hepatitis B and even the usual colds.
It makes this research so exciting.
Discovering mathematics that allows the virus to create your envelope can give us the opportunity to stop it. No exterior wall is not a virus; no virus, no infection.
Discovered or Invented?
Without regard to human senses, it seems that the universe somehow knows mathematics.
Really it's amazing how often these patterns seem to appear. They are in plants, they are in marine life, even viruses.
And every time we add more things, we can explore and use the mathematics available to us.
All this draws attention to the idea that there is a natural order that sustains our world and that we do nothing about discovering mathematics.
But maybe we've been looking for models in the wrong places.
If everything is in our heads, the brain could be a good place to look.