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Is math discovered or invented?
Many people believe math is discovered, and many believe it is invented. Even Mathematicians believe different things. In my opinion, I believe it is invented, however we make equations by linking them to the real world.

What is it in Maths that ensures 100% certainty
In Maths, there is no 100% certainty. It reduces errors of course, however there is always small percentage of error.

To what extent is Maths a science?
Maths is, in my opinion, the birth of sciences, and most equations from science are linked to maths.

What is the value of pure mathematics?

It allows us to prove theories or disprove them. It doesn't involve opinions or bias of people, only factual information.

How does proof in mathematics differ from proof in the natural sciences?

Mathematics is factual and is based on evidence, however the natural sciences are based on intuition and reasoning.

What is the relation between mathematics and beauty?

Many mathematics talk about how pure mathematics is beautiful because of the way it is taught, the way it is used in our daily lives, and how it has evolved.

What is the role of intuition and imagination in mathematics?

I believe mathematics is quite different to intuition and imagination because it seems more factual, unlike the bias opinions from intuition and our imagination.

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Is math discovered or invented?

I think math was discovered because the everyday mathematicians are finding links.

What is it in maths that ensures 100% certainty?
Maths recently has been seen now as something logical. Before it used to be a evolution. It has believed that this has changed into logical thinking.

What is the value of pure mathematics?
¨Mathematics is seen as giving structure to a different language of communications.¨

How does proof in mathematics differ from proof in the natural sciences?
Proof is being able to find the answer to an mathematics equation. This will lead to having the correct answer proving that something is wrong.

What is the relation between mathematics and beauty?
Some people saying that getting the correct answer to a long equation is the beauty of maths.

What is the role of intuition and imagination in mathematics?
I believe that imagination is a key role in the art of mathematics due to its design of creating a new formula and to work on the knowledge of answering a question.

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Is Maths discovered or invented?
Math is discovered as  all rules seem to correlate. One rule that is found leads to other rules that are already there.

What is it in Maths that ensures 100% certainty?

There is nothing like 100% certainty because if a rule has a n error then the answer will be incorrect. You can never be sure all your rules are 100% accurate.

To what extent is Maths a science?

Math is present in everything including science, it helps explain and justify it.

What is the value of pure mathematics?

It allows you to prove and disprove theories. You can apply it to anything and everything.

How does proof in mathematics differ from proof in the natural sciences?

The proof is supported more by fact and evidence whereas other proof is not as factual. More by intuition and reason.

What is the relation between mathematics and beauty?

Because math seems to be free flowing and theres is beauty in having 100% certainty.

What is the role of intuition and imagination in Mathematics?

Because with theses two you are able to discover links between mathematics.

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Is Maths discovered or invented?
Many mathematicians believe

# data[].attributes.body
Is Maths discovered or invented?
Many may believe that maths is discovered. One may also say that may be discovered but was not invented by humans. However a a logical equation or explanation that leads to a correct mathematical question may have been invented by humans.

What is it in Maths that ensures 100% certainty?
Maths may never lead to 100% certainty, it is there to reduce the errors and lead to accuracy/reliability

To what extent is Maths a science?
For all sciences, maths is always present and required.

What is the value of pure mathematics?
It allows us to fully support our theories and hypothesis and can be applied with any subject.

How does proof in mathematics differ from proof in the natural sciences?
The proof that you find in mathematics can be supported with equations and will lead to the "correct" answer, whereas in natural sciences you may be able to find a to prove it wrong.

What is the relation between mathematics and beauty?
Being able to formulate an accurate answer through mathematics and showing that through equations, paintings, etc... May be seen as beautiful to many.

What is the role of intuition and imagination in Mathematics?
I believe intuition and imagination play a important role in mathematics, however, one would need a good and open imagination to reach the complexity of "mathematics" and intuition can be used when one already has prior knowledge on the subject but can not be used to generalise.

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Is math discovered or invented?

I think math was discovered because the everyday mathematicians are finding links, and as students teachers always want us to find links.

What is it in Math’s that ensures 100% certainty?
Nowadays, we see maths as a logical way of thinking and is accepted nowadays. But in the past and prior to our century no even believed in evolution and that the world was round.

What is the value of pure mathematics?
“It gives us a way of describing everything that possibly exists. It gives structure. Without mathematics, science wouldn’t be able to do the things that it does” - My maths teacher

How does proof in mathematic differ from proof in the natural sciences?
Nowadays, we see maths as a logical way of thinking and is accepted nowadays. But in the past and prior to our century no even believed in evolution and that the world was round.

What is the relation between mathematics and beauty?
All art is mathematical as paintings and factors involving that is scale etc but David Beckham kicking free kicks is beautiful but they do not know the mathematical technique. Although, behind that there are angles and strategies, they do not know it is present however that doesn't mean the math is less beautiful.

What is the role of intuition and imagination in Mathematics?
I think intuition is a part of logic but imagination is even more important mathematics develops through links. Those are not possible without the human brain and using intuition, logic and our imagination.

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What is it in Maths that ensures 100% certainty?
Proof can give as 100% certainty for the answers of a equation. But the way of getting to a answer does not also have to be the perfect, 100% right way.

To what extend is Maths science?
Maths describes the reality.

What is the value of pure mathematics?
Pure Maths helps us to understand the world, due to math describing the reality .

How does proof in mathematics differ from proof in the natural sciences?
Proof in mathematics shows that an answers has and will always be right. Proof in science can change over timer.

Is Maths discovered or invented?
I would say that it is mainly invented, because numbers and the rules were obviously invented. So it is clear that mathematics and other people have been creating different formulas to get to an answer. But I would also say that the that the main basics like angles and pie have been discovered.

What is the relation between mathematics and beauty?

Many mathematics say that it is a beauty how we learned and created different formulas to answer different equations.

What is the role of intuition and imagination in Mathematics?
Intuition can not be used as much due to the existing and right ways of answering different kind of questions.

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Is Maths discovered or invented?

Depends if you’re talking about the processes of math or the language of math. The world seems to be organised but the language of math allows us to explore this organised world.

What is it in Maths that ensures 100% certainty?

No such thing as 100% certainty, better yet, mathematics seems to put on restraints on real life situations and capture uncertainty.

To what extent is Maths a science?

All science is based on math.

What is the value of pure mathematics?

One might argue there is no value, since the answers to mathematical questions (which are usually solved through ‘pure mathematics’ = done in the absence of real world correlations) are usually not necessarily relevant.

How does proof in mathematics differ from proof in the natural sciences?

Proof in natural sciences is usually inductive, and proof in math is usually deductive proof.

What is the relation between mathematics and beauty?

No right answer, since the answer is personal… Although examples could be Fibonacci, fractals, etc.

What is the role of intuition and imagination in Mathematics?

Much larger than people think it is. Intuition doesn’t necessarily exist, simply a recollection of facts. Imagination however is very important, since one is then able to ‘see’ certain outcomes of mathematical problems before an answer is provided.

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Is Maths discovered or invented?
The teacher came to the conclusion that maths is a combination of both; hence that maths is present (able to be discovered) in the natural world, however has been expanded to areas that are conceptual, and as a result invented.

What is it in Maths that ensures 100% certainty
Although the mathematical process of finding a solution, and devising a formula is an exact method, (having an axiom and expanding upon that to find a solution), there is still room for error, therefore making it not able to ensure 100% certainty.

To what extent is Maths a science?
Mathematics varies from science due to following a different method, and providing a unique base for the other sciences. This enables the sciences to utilize mathematical formulas in order to understand complex concepts. Therefore it is not a science to a great extent despite the similarities in logic, and reasoning.

What is the value of pure mathematics?
Pure mathematics enables us to make sense of the natural world, and define things in precise, and concrete manner. It gives meaning to the abstract (similarly in how the documentary described Pi as being 'all around us')

How does proof in mathematics differ from proof in the natural sciences?
It differs in its certainty. Mathematics is able to guarantee complete certainty when using a formula, whilst in the natural sciences theories may be disproved, and revised.

What is the relation between mathematics and beauty?
The math teacher we discussed this with put a specific emphasis on the beauty of mathematics via the use of symmetry, and proportions which creates an aesthetically pleasing appearance.

What is the role of intuition and imagination in Mathematics?
Intuition and imagination play a role in developing mathematics, and approaching a way in solving a formula. Therefore it is crucial to not only have a good capacity for reasoning, but also for finding creative solutions to a problem. Thus making mathematics a big field with the possibility of being expanded upon infinitely.

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Is math discovered or invented?

I think math was discovered because the laws that were invented were already there but it something that scientists discovered that proved the theory that was correct.

What is it in Math’s that ensures 100% certainty?
We use math that proves a hundred percent because scientific proof is what is commonly accepted in our time. This is because prior to our century no believed in evolution.

What is the value of pure mathematics?
“It gives us a way of describing everything that possibly exists. It gives structure. Without mathematics, science wouldn’t be able to do the things that it does” - Teacher

How does proof in mathematic differ from proof in the natural sciences?
We use math that proves a hundred percent because scientific proof is what is commonly accepted in our time. This is because prior to our century no believed in evolution.

What is the relation between mathematics and beauty?
All art is mathematical such as Steph curry making a 3 pointer but do they know the fully know the math technique? However that doesn't mean the math is less beautiful.

What is the role of intuition and imagination in Mathematics?
I think imagination does have a role in mathematics which goes easier for some however its more practicing that allows people to be good in math.

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Is maths discovered or invented?
Math is not invented. Maths in a unique way of counting that the human mind learns from the past. Its a system which carries out laws that us humans have created so real life situations make sense to us.

What is it in maths that ensures 100% certainty?
There are errors everywhere in maths but as we made formulas there can be 100% certainty.

To what extent is maths a science?
Maths is a science because all science require the same things, maths. Calculations are needed to do anything, which means that the formulas and numbers are in science itself. No science would exist without calculations and numbers.

What is the value of pure maths?
Pure maths gives us a way of understanding everything. Its a idea that we can put in every subject or real life situation.

How does proof in maths differ from proof in natural sciences?
In maths there are rules which you have to follow, and when you follow those rules you will find the proof that is hiding behind the rules.

What is the relation between maths beauty?
Maths is in everything. We do maths in our heads without us even knowing. Maths is in music, in ideas we create (technology, environments, economics) this is why maths is a beauty.

I

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Is Maths discovered or invented?

Opened ended question. I don’t think you can find a direct answer. Maths is a language that describes natural laws. Would maths exist without consciousness? If there are no people would maths exist?

What is it in Maths that ensures 100% certainty?

Math is an exact science, but there are certain areas in math that do not really completely valid, such as theory of chaos. Math tries to identify those natural laws and describe them exactly

To what extent is Maths a science?

Both you can have pure math, which is simply for the benefit of mathematics, but has no use in real life, so no scientific uses. Maybe in the future that pure math could be used for something.

What is the value of pure mathematics?

Too keep your brain active, to exercise it.

How does proof in mathematics differ from proof in the natural sciences?

No comment

He does not really know how to prove it natural sciences...

What is the relation between mathematics and beauty?

Math is everywhere even in music. Certain tones are better than the others, Number of petals in the flowers, math is everything...

E^(Pii) -1 = 0

beauty ratios, mathematical tones, tessellations, fibonacci

What is the role of intuition and imagination in Mathematics?

To be a mathematician you need imagination, geometry needs it as there are different objects rotated in space. To discover something mathematicians had to do a leap of fate, to discover something with their imagination, The best example would be imaginary numbers or numbers you can square root with number 1. With the help of those imaginary numbers you can get concrete results. They are widely used in telescopes, etc.

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Is Math's discovered or invented?

The different systems such as the notation and the axiomatic systems are invented but the patterns and the logic which we used is discovered. The logic is already existent, we just have to discover how to apply that knowledge into different rules.

What is it in Math's that ensures 100% certainty

There is not 100% certainty in mathematics since there is room for human error and there might be exceptions to these rules (anomalies). There is no 100% certainty in terms of human understanding rather than the already undiscovered mathematical principles.

To what extent is Math's a science?

We could rephrase this question to "to what extent is science a math's". Math is a science because all of the sciences are parts of math since math is required in all the different sciences hence, the sciences would not exist without math since they would not be able to describe any properties of the physical reality.

What is the value of pure mathematics?

Pure mathematics tries to make proofs easier to understand in order to pave the way for humanity to understand more complex ideas, as it mainly studies abstract ideas.

How does proof in mathematics differ from proof in the natural sciences?

In mathematics, the proof is completely absolute. Once there has been a rule/law established it isn't questioned since in order to prove that this part of mathematics works we are attempting to prove a theory rather than disproving your theories.

What is the relation between mathematics and beauty?

The golden ratio is a large part of the beauty of mathematics since it has inspired many artists to create different paintings using this mathematical principles. There is also human beauty in terms of symmetry since humans like the look of more symmetrical faces.

What is the role of intuition and imagination in Mathematics?

Intuition and imagination in mathematics helps us discover new rules and principles which further on answers the question of whether mathematics is invented and discovered.