Is math invented or discovered. Is mathematics invented or discovered? 2022-12-31
Is math invented or discovered Rating:
4,3/10
1170
reviews
Mathematics is a discipline that deals with the study of numbers, quantities, and shapes. It is an abstract subject that is fundamental to many other fields of knowledge, including science, engineering, and economics. The question of whether math is invented or discovered is a subject of debate among philosophers and mathematicians.
Some argue that math is a human invention, created as a way to understand and describe the world around us. According to this view, math is a tool that we have developed to help us make sense of the patterns and relationships that exist in the universe. It is a way of representing and organizing information, and it allows us to communicate and reason about complex concepts.
Others argue that math is a discovery, something that exists independently of human thought and that we simply uncover through our observations and investigations. This view holds that math is a universal language that describes the underlying structure of the universe and that it is independent of human language and culture.
Both of these viewpoints have merit, and it is likely that math is a combination of both invention and discovery. On the one hand, math is a human invention in the sense that we have created the symbols, systems, and rules that make up the subject. We have developed the mathematics we use to understand the world around us and to communicate with each other.
On the other hand, math is also a discovery in the sense that it reflects the underlying structure of the universe and the patterns that exist in nature. For example, the concept of numbers, which is central to mathematics, seems to be a fundamental aspect of the way the universe works. We can observe the natural world and see that it is composed of discrete units that can be counted and measured. This suggests that math is not just a human invention, but something that reflects the fundamental structure of the universe.
In conclusion, math is both an invention and a discovery. It is a human invention in the sense that we have created the symbols, systems, and rules that make up the subject. At the same time, it is a discovery in the sense that it reflects the underlying structure of the universe and the patterns that exist in nature. Math is a powerful tool that allows us to understand and describe the world around us, and it will continue to play a vital role in the advancement of knowledge and technology in the future.
Is mathematics invented or discovered? (Discussion) : math
I believe that these kinds of questions are usually stated improperly, that is, based on some fundamental misunderstanding on the nature of the subjects of the question. How is it possible for there to be an ontology of mathematical objects — of numbers, sets, functions and the like — apparently set apart from the familiar ontology of physical things — with its chairs and tables or molecules and atoms — and from the familiar ontology of mental things — with its beliefs and desires or pleasures and pains. Or perhaps, that it is just more challenging to argue. Math was invented to make sense of these elements. By way of illustration, let us see how we might generate the ontology of natural numbers.
In considering Cantor's theory of transfinite number, Russell came across a paradox, which now bears his name. Depending on what you mean by each of these terms, the answer can be invented, discovered, both, neither, or not well-defined. Thus they will not be entirely products of our minds since there must already be something there to prod, but nor will they be entirely independent of us since we need to prod in order to bring them into existence. First, I will present the claim that math was discovered. If you upload an image or video, you must explain why it is relevant by posting a comment providing additional information that prompts discussion. The child is then meant to take x, check to see if x is here, and then to kiss x if x is indeed here. Passive effectiveness, on the other hand, refers to cases in which mathematicians developed abstract branches of mathematics with absolutely no applications in mind; yet decades, or sometimes centuries later, physicists discovered that those theories provided necessary mathematical underpinnings for physical phenomena.
And similarly in the case of the number system. Mathematics was almost entirely discovered, of course there were few exceptions of inventions based on its discovery, while the language of maths it totally discovered by man. It is not as if we began with a domain of objects to which the integers, the rationals and the like were then added. Accepting mathematics as an external entity is a matter of faith, it is a belief that can never be proven scientifically. Scientists believe that thousands of years ago, basic mathematical functions like addition and subtraction might have appeared at the same time, but in different places, like India, Egypt and Mesopotamia. It gets its name from the ancient Greek thinker and mathematician, Plato.
Is Mathematics An Invention Or A Discovery? » Science ABC
The development of the subject has also been extraordinarily fertile, particularly in the last three centuries, and it is perhaps only in the last century that the other sciences have begun to approach mathematics in the steady accumulation of knowledge that it has been able to offer. . By contrast, the first comparable master work of physics — Newton's Principia — was written 300 odd years ago. If Vico meant that the language of maths was one of our greatest inventions, then I would agree with him, because it was us humans that invented this language in which maths is expressed today. It is mathematically and logically impossible a square root of a negative number, so imaginary numbers were invented, so that square roots of negative numbers could have prorate answers. It is a testament to the human's cognitive capacity but it is not only that.
How is it possible that all the phenomena observed in classical electricity and magnetism can be explained by means of just four mathematical equations? It would be incorrect to define Pythagoras Theorem as an invention. Moreover, physicist James Clerk Maxwell after whom those four equations of electromagnetism are named showed in 1864 that the equations predicted that varying electric or magnetic fields should generate certain propagating waves. Given the demonstration of consistency, these procedures can then be executed and the axioms governing the resulting domain can be determined. It is upon us to discover it, understand its functioning and build on our knowledge to find solutions to the physical event we seek to control. I like your point of view, it is one I hadn't really considered. Let us see what happens when the genie executes the instruction.
However, as humans we assigned made up names green, red, blue, etc. But it is odd to think of the irrational numbers, say, as not existing prior to our acts of postulation or even to think of them as existing in time at all. After that, the rationals numbers — the ratio of one integer to another, positive, integer. Examples of passive effectiveness abound. But this is like thinking we can survey all of space from a position outside of space.
Scientific Controversies No. 25: Is Math Invented or Discovered?
This will then result in the domain containing the pair of the apple and the orange. Maths is discovered because young children learn how to add with no communication therefore it is learnt by reasoning and therefore a discovery. So we discover the world around us, now how do we use and manipulate this world. A Guggenheim Fellow, Janna has contributed to an understanding of black holes, the cosmology of extra dimensions, and gravitational waves in the shape of spacetime. But surely it is possible for us to quantify over all the beer that there is — not here or there but anywhere.
It Is Upon Us To Discover It, Understand Its Functioning And Build On Our Knowledge To Find Solutions To The Physical Event We Seek To Control. How can we know that each natural number has at most one successor, let alone the more advanced results of mathematics, such as Fermat's Last Theorem or the Four Color Conjecture? But could the truth lie somewhere in the middle? But in each case, we adopt a more inclusive view of which objects we will take to fall under these categories. At the core of this math mystery lies another argument that mathematicians, philosophers, and, most recently, cognitive scientists have had for a long time: Is math an invention of the human brain? With a procedural logic at hand, it is possible to develop a foundation for the whole of mathematics. And if I can quantify over all of these domains, then I can quantify over all of the objects in these domains and thereby quantify over absolutely everything. Where have we gone wrong? Similarly, string theorists today often develop the mathematical machinery they need. The development of the subject has also been extraordinarily fertile, particularly in the last three centuries, and it is perhaps only in the last century that the other sciences have begun to approach mathematics in the steady accumulation of knowledge that it has been able to offer. Was mathematics a creation of our making? We can now understand the metaphor of the dog.
