Mathematics is considered both an invention and a discovery. While humans have created mathematical concepts and systems, many mathematical principles and truths are inherent in the universe and have been discovered through observation and experimentation.

## Detailed answer question

Mathematics is a subject that has puzzled scholars for centuries. It is considered both an invention and a discovery. The principles and concepts of mathematics have been created by humans, but many mathematical principles and truths have been discovered through observation and experimentation. Mathematics is considered an invention because it is a human-made system that helps us to organize and quantify the world around us. Mathematicians have created countless equations, theorems, and formulas throughout history that have proven incredibly useful in understanding and manipulating the world.

However, mathematics is also a discovery because it reveals inherent truths and principles about the universe. As Galileo Galilei once famously stated, “Mathematics is the language with which God has written the universe.” Mathematical principles such as the laws of calculus, the Pythagorean theorem, and the Fibonacci sequence are not inventions of humans but are rather inherent truths in the natural world.

Several interesting facts support the idea that mathematics is both an invention and a discovery. For example, the ancient Babylonians were the first to develop a number system based on sixty, which was later adopted by the ancient Sumerians. This system was the precursor to our modern measurement of time. Another interesting fact is that the concept of zero, which is a cornerstone of modern mathematics, was invented independently by both the Mayans and the Indians.

A table can illustrate the relationship between invention and discovery in mathematics:

Invention | Discovery |
---|---|

Counting systems | Number theory |

Algebraic notation | Calculus |

Geometry | The Pythagorean theorem |

Computer algorithms | Number patterns |

In conclusion, while mathematics is undoubtedly a human invention, it is also a tool for discovering inherent truths about the natural world. As mathematician and philosopher Gottfried Leibniz once mused, “Mathematics is a wonderful foundation for games.” Nonetheless, it is also the foundation for some of the most important breakthroughs in science and technology, proving its inherent value as both an invention and a discovery.

## Response via video

This video discusses the debate between those who believe that mathematics is discovered, and those who believe that it is invented. The video provides examples of how mathematics has been used to solve problems in the real world.

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Mathematics is both an invention and a discovery. Math is a discovery because, given a few axioms, the conclusions like the Pythagorean theorem already exist, whether we discover them or not. Furthermore, if the system is consistent, no other conclusions are possible, which is not the case for inventions.

I am far from an expert on this subject, but it might be illuminating to consider what happens when a dog catches a ball. Neglecting air resistance and other secondary effects, the ball follows a predictable trajectory that is shaped by gravity, and math allows us to predict where it will land. Astonishingly, a dog can _also_ predict where the ball will land almost immediately after the throw, and some dogs can even run and leap to catch the ball before it touches the ground. When you consider that the dog has far less visual acuity than we do and that it is estimating the three-dimensional geometry of the world and position of the ball in real time from imperfect two-dimensional signals bouncing on its retinas as it runs, you might be tempted to award the dog a degree in Applied Mathematics!

So does the dog that successfully locks the ball in its jaws in mid-air invent math, discover it, or neither?

One perspective would be that the dog discovers math: through life experience, it ob…

## Topic addition

**It’s interesting that,**According to the book "Mathematical Thought from Ancient to Modern Times," mathematics as an organized science did not exist until the classical Greek period from 600 to 300 B.C. There were, however, prior civilizations in which the beginnings or rudiments of mathematics were formed. For example, when civilization began to trade, a need to count was created.

**Fact:**The earliest known evidence of mathematics dates back to around 30,000 BC when early humans began using tally marks to record the number of objects they had collected. The first known complex mathematical system was the Babylonian numeral system, which was developed around 4,000 BC. The origins of mathematical notation are also unclear.

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Beside above, **Is mathematics an invention or a discovery?**

2) Math is a human construct.

If the universe disappeared, there would be no mathematics in the same way that there would be no football, tennis, chess or any other set of rules with relational structures that we contrived. *Mathematics is not discovered, it is invented*.

**Is mathematics either invented or discovered?** Response to this: Mathematics is an intricate fusion of inventions and discoveries. Concepts are generally invented, and even though all the correct relations among them existed before their discovery, humans still chose which ones to study.

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People also ask, **Why math is discovered and invented?**

The reply will be: Throughout history, different cultures have discovered the maths *needed for tasks like understanding groups and relationships, sharing food, looking at astronomical and seasonal patterns, and more*. There are probably forms of mathematics that were understood by people we don’t even know existed.

Regarding this, **Did we invent or discover numbers?** The response is: Confronting languages that don’t have numbers or many numbers leads you inevitably down this track of questioning what your world would be like without numbers, and appreciating that numbers are a human invention and they’re not something we get automatically from nature.

Also, **Did humans invent math or did we discover it?**

Philosophers and mathematicians have spend a long time arguing over this, but the current consensus seems to be that humans invented mathematics, since at it’s moth fundamental level mathematics is a set of mental abstractions, like language, that people use to describe both the world around them as well as describe pure hypotheticals.

**Do you think math was invented or discovered?**

Mathematics is not discovered, it is invented. This is the non-Platonist position. 3) Math is not so successful. Those that marvel at the ubiquity of mathematical applications have perhaps been seduced by an overstatement of their successes.

**Is mathematics a discovery or an invention?** Response to this: Mathematics is not an invention. Discoveries and laws of science are not considered inventions since inventions are material things and processes. However, there is a history of mathematics, a relationship between mathematics and inventions and mathematical instruments themselves are considered inventions.

**Is Maths real or did humans invent it?** Did Humans Invent Mathematics, or Is It a Fundamental Part of Existence? SAM BARON, THE CONVERSATION . 24 NOVEMBER 2021 . Many people think that mathematics is a human invention. To this way of thinking, mathematics is like a language: it may describe real things in the world, but it doesn’t ‘exist’ outside the minds of the people who use it.