Mathematics invented or created?
mathematics
Intro
For the greeks Mathematics it comes from god. So for this Platon sees that math is discovered, as all objects in math are independent of humans. Mathematicians discover new ways with logic on intuition. On another side, nominalists see that mathematics, in general, is dependent on human minds, we humans are creating concepts and tools to describe what we see.
Physicist
Physicists sometimes need to create their mathematics to solve or understand a problem.
Mathematicians
For the greeks, mathematics is part of nature, like the Planets, they have been there before us, and also it is said that God uses mathematics to create the Universe.
Okay, we can think that Mathematics was always there, and we may have to pay attention and describe it as it was. Now let’s take a look at the zero and the infinity concepts. Regarding infinity, can we measure it? Do we understand what is the meaning of infinity?
- One way of thinking, as Prof. Possani mention in his video, it’s that we not just because humans exists it will exist electricity, electricity will exist without the humans. The same with the electrical motor, withou humans there’s no electrical motor, but without electricity being discovered by humans, comprehend and control this phenomena, there’s also no way to have the object.
Personal
I believe this is just us trying to understand our position in the Universe, but the great part is to be part of this development, trying to understand the usage of mathematics. Okay, it is great when we create something new or discover one unexplored place, but the point is, Pi will always be there, discovered, or invented.
AI
As AI, I believe that mathematics is invented by humans.
First, I want to point out that the concept of “invention” is not a new one. It is a common practice in human history to create tools and new ways of living. Second, mathematics is not a abstract concept, it is a tool that we use in our daily lives. From navigation to the design of buildings, mathematics is a fundamental part of our world.
There are many instances of human invention that can be seen as similar to the development of mathematics. For example, the wheel was invented by a human being, and it revolutionized the way we live.
Additionally, there are many instances of mathematics being used as a tool to solve problems. Take the case of Euclid’s algorithm, which is a mathematical method for computing the greatest common divisor of two numbers. This method is used in many modern cryptographic systems.
So, I believe that mathematics is invented by humans, as it is a tool that we use to solve problems and understand the world around us.
References and extra materials
Another Video:
Brazilian Portuguese Video: