# The most effective response to – why is mathematics regarded as a discovery?

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Mathematics is regarded as a discovery because it involves uncovering and understanding the relationships, patterns, and principles that exist in the natural world.

## Comprehensive answer to the question

Mathematics is regarded as a discovery because it involves uncovering and understanding the relationships, patterns, and principles that exist in the natural world. As Albert Einstein famously remarked, “Pure mathematics is, in its way, the poetry of logical ideas.”

Mathematics is not just about finding the right answer. It is about discovering the underlying principles that govern the natural world. Mathematicians use mathematical tools to model the real world and to make predictions about how it will behave under different conditions. As they explore these models, they discover new relationships, patterns, and principles that can be used to understand the natural world.

Here are some interesting facts about mathematics:

• The earliest known mathematical object is the Ishango bone, which is a tally stick from the Congo region of Africa that dates back 20,000 years.
• The ancient Babylonians developed advanced mathematical systems over 4,000 years ago, including a sexagesimal (base-60) system that we still use today for measuring time and angles.
• The Greek philosopher Pythagoras is famous for his discovery of the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
• The Indian mathematician Aryabhata invented the concept of zero, which is now an integral part of the decimal number system.
• The Fibonacci sequence, in which each number is the sum of the two preceding numbers (1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, etc.), appears in nature in the growth patterns of many living things, including seashells, pinecones, and the pattern of leaves on a stem.
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In conclusion, mathematics is a discovery because it is about exploring and understanding the fundamental principles that govern our world. As Galileo Galilei once said, “Mathematics is the language in which God has written the universe.”

Table:

Famous mathematicians Contributions
Pythagoras Pythagorean theorem
Aryabhata Concept of zero
Leonhard Euler Euler’s formula
Euclid Elements of geometry

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.

## Identified other solutions on the web

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. The second question turns out to be even more complex.

Mathematical discovery is the process of finding new mathematical facts, concepts, or structures. It is often based on intuition, creativity, and insight, rather than on formal logic. Mathematical discovery has a long history, dating back to the ancient civilizations of Mesopotamia, where the Sumerians developed a system of measurement, arithmetic, and geometry.

Mathematical discovery and invention are aspects of ‘doing’ mathematics that have long been accepted as standing outside of the theories of "logical forms" (Dewey, 1938, p.103). That is, they rely on the extra-logical processes of insight and illumination as opposed to the logical process of deductive and inductive reasoning.

The earliest evidence of written mathematics dates back to the ancient Sumerians, who built the earliest civilization in Mesopotamia. They developed a complex system of metrology from 3000 BC. From around 2500 BC onward, the Sumerians wrote multiplication tables on clay tablets and dealt with geometrical exercises and division problems.

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…

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How is math a discovery?
Response to this: Unlike a light bulb or a computer, mathematics isn’t really an invention. It’s really more of a discovery. Mathematics encompasses many different types of studies, so its discovery can’t even be attributed to one person. Instead, mathematics developed slowly over thousands of years with the help of thousands of people!
Is math a creation or discovery?
The response is: And over the centuries, mathematicians have devised hundreds of different techniques capable of proving the theorem. In short, maths is both invented and discovered.
Why is mathematics both invented and discovered?
Answer: The practical applicability of mathematics always existed in-universe far before humans did. So, mathematics is a discovered entity, only the theoretical explanation of the phenomenon occurring in the cosmos is an invented aspect of mathematics by human intelligence to have a logical idea of the world.
Where was math invented or discovered?
The earliest evidence of written mathematics dates back to the ancient Sumerians, who built the earliest civilization in Mesopotamia. They developed a complex system of metrology from 3000 BC.
What does it mean to believe that mathematics has been discovered?
The discovery is that first realization that things can be differentiated from each other. I think it’s hard to say. If you believe that mathematics has been discovered, you must assume that "something" is out there, something we can interact with, of which we have been unable to prove existence so far.
How did mathematics develop?
Answer: mathematics, the science of structure, order, and relation that has evolved from elemental practices of counting, measuring, and describing the shapes of objects. It deals with logical reasoning and quantitative calculation, and its development has involved an increasing degree of idealization and abstraction of its subject matter.
Why do some people oppose the idea that math was discovered?
Some people oppose the idea that math was discovered. They belong to the anti-Platonic school of thought, which believes that mathematics was invented. They consider math to be a human invention designed in a way that suitably describes the physical world. To suit our needs, the human mind continually makes up new mathematical concepts.
Why is math important?
In reply to that: 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.

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