# Immediate reaction to – is mathematics invention or discovery?

Contents

Mathematics is a discovery of principles and relationships that exist in the natural world, but specific mathematical systems and equations are inventions created by humans to model and solve problems.

## For those who are interested in more details

Mathematics is a fascinating subject that has been debated for centuries. The question of whether mathematics is an invention or discovery remains a hot topic among mathematicians, philosophers, and scientists. The answer may not be as straightforward as it seems. To shed some light on this question, let’s take a deeper dive into the topic.

Discovery vs. Invention
The debate revolves around the fundamental nature of mathematics itself. Some argue that mathematics is a discovery of a pre-existing reality that humans have uncovered. On the other hand, some believe that mathematics is an invention created by humans based on their needs and perceptions. Although both viewpoints have their merits, the consensus is that mathematics is a combination of both discovery and invention.

Discovery in Mathematics
Mathematics is inherently linked to the natural world and can be seen as a way of understanding the fundamental principles that govern the universe. The discovery side of mathematics is often referred to as pure mathematics, which deals with abstract concepts such as infinity, prime numbers, geometry, and algebra. As the famous mathematician Pythagoras once said, “All is number.” In other words, mathematics exists in the natural world, waiting to be discovered.

Invention in Mathematics
The invention side of mathematics is primarily concerned with applied mathematics, which focuses on using mathematical principles to solve real-world problems. Applied mathematics involves creating mathematical models to represent different phenomena and using those models to make predictions. For instance, the development of calculus by Isaac Newton and Gottfried Wilhelm Leibniz was an invention that revolutionized science and engineering and gave birth to modern physics.

Interesting Facts
– Mathematics is used in almost every field of science, from physics to biology.
– The ancient Egyptians were the first to use a form of geometry over 4,000 years ago.
– The Fibonacci sequence, a famous mathematical pattern, can be seen in everything from flower petals to the growth of rabbit populations.
– The most common mathematical constant, π (pi), has been calculated to over 31 trillion digits.
– One of the most famous unsolved problems in mathematics is the Riemann Hypothesis, which explores the distribution of prime numbers.

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Table: The Discovery-Invention Spectrum
Discovery (Pure Mathematics) | Invention (Applied Mathematics)
Exploration of abstract concepts | Solving real-world problems
Infinity, prime numbers, geometry, etc. | Mathematical models and predictions
All is number – Pythagoras | Calculus, physics, and engineering applications
Existing in the natural world | Created to suit human needs and perceptions

In conclusion, mathematics is a combination of discovery and invention. It is a fascinating field that constantly evolves and adapts to new challenges. As the mathematician John Allen Paulos once said, “Mathematics is not about numbers, equations, computations, or algorithms: it’s about understanding.” Whether it’s through discovering new abstract concepts or creating mathematical models to solve real-world problems, mathematics will continue to challenge and inspire us.

## See the answer to your question in this 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.

## View the further responses I located

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.

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.

The short answer to the question “Invention or discovery?” is “Yes!” Mathematics is an intricate entanglement or convolution of invention and discovery.

Math is discovery because, given your starting conditions of a few axioms, the conclusions like the Pythagorean theorem already exist – whether we discover them or not. Furthermore, if your system is consistent, no other conclusions are possible, this is not so for inventions.

## People also ask

Is mathematics an invention or a discovery essay?
Mathematics may have its roots in the world around us, but it has also been shaped by the human brain. In other words, mathematics is both discovered and invented.
Why math is discovered and invented?
Answer: 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.
Is mathematics invented or discovered Plato?
Response will be: Thirdly, since platonism ensures that mathematics is discovered rather than invented, there would be no need for mathematicians to restrict themselves to constructive methods and axioms, which establishes (iii).
Who said mathematics invented?
Archimedes is known as the Father of Mathematics. Mathematics is one of the ancient sciences developed in time immemorial.
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?
Response to this: 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?
As a 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.
Did humans invent math or did we discover it?
The answer is: 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?
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.

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