Is mathematics invented or discovered?

I suppose that it's been invented if I am not wrong.

ok,why?

for example,I think, Fermat did not invent his little problem ,he is discovered that is true...

or nonsense:)

actually,I think , its is that the basic rules are invented and the results of those rules are discovered..
hımm ,maybe:):)

Actually my mathematics was not good and what I say is only a guess...

and your guess is also logical.I mean,you have written that basic rules are been invented and results of those rules are been discovered.

I don't know how on earth which one is true but I am sure that it is well worth to search about it!

They say here that necessity is the mother of invention and, in fact, it would seem a question of necessity to me... as to the origins of mathematics.

It's a tool, really, and tools are inventions, yes, but always it seems, simply ...evolutions of some other pre-existing discovery.

Giving names to small quantities, in the same way that words are used to create images in the mind. Instead of "ooh ooh, ugg ...grunt" so that when I want two apples I don't get just a slice. Apple... apples... 2 apples.

Simple tools ...and, with time, one would probably begin to see patterns associated with the numbers as they are reflected in one's natural environment ...and then on to notice patterns within combinations of the numbers themselves, whether adding, subtracting or multiplying etc.

Probabilities.. tendencies... certanties plus actual geometric patterns alike.

Has to be both.... chicken or the egg. Especially if you're into the idea that we have always existed... chosen to be here...... are directly tapped into the source.

i think firstly if we want to discuss whether it is discovered or invented,we have to know the whole meaning of the discover and intend.
now discover means that there is a thing that always has been and we can find it;on the other hand intend means that you compose something.
for example america was discovered because it is always there ;but radio was intended namely founded someone compose it.
so i think mathematic is intended because it was composed with time by people.we cant use discover for math.

I suppose that mathematics is a compulsory necessity so it need not to be invented or discovered. It is actually the natural form of life or existance.

They say here that necessity is the mother of invention and, in fact, it would seem a question of necessity to me... as to the origins of mathematics.

It's a tool, really, and tools are inventions, yes, but always it seems, simply ...evolutions of some other pre-existing discovery.

Giving names to small quantities, in the same way that words are used to create images in the mind. Instead of "ooh ooh, ugg ...grunt" so that when I want two apples I don't get just a slice. Apple... apples... 2 apples.

Simple tools ...and, with time, one would probably begin to see patterns associated with the numbers as they are reflected in one's natural environment ...and then on to notice patterns within combinations of the numbers themselves, whether adding, subtracting or multiplying etc.

Probabilities.. tendencies... certanties plus actual geometric patterns alike.

Has to be both.... chicken or the egg. Especially if you're into the idea that we have always existed... chosen to be here...... are directly tapped into the source.
Now I have a question for you....What is the nature of mathematical knowledge?

i think firstly if we want to discuss whether it is discovered or invented,we have to know the whole meaning of the discover and intend.
now discover means that there is a thing that always has been and we can find it;on the other hand intend means that you compose something.
for example america was discovered because it is always there ;but radio was intended namely founded someone compose it.
so i think mathematic is intended because it was composed with time by people.we cant use discover for math.

You are quite right in my opinion.As I said before,It was a subject that well worth to search about and I must say that I agree with you on this subject.Because Mathematics has been invented by people due to their calculations.Thank you very much inded for your comments and contributions to this subject.:wink:

Have a nice day!

yeaaahhhhh:)
However these claims and conclusions are caricatures, and no fallibilist I know would subscribe to them. Fallibilism does not mean that some or all of mathematics may be false (although Gödel’s incompleteness results mean that we cannot eliminate the possibility that mathematics may generate a contradiction). Instead, fallibilists deny that there is such a thing as absolute truth, which explains why mathematics cannot attain it. For example, 1+1=2 is not absolutely true, although it is true under the normal interpretation of arithmetic. However in the systems of Boolean algebra or Base 2 modular arithmetic 1+1=1 and 1+1=0 are true, respectively. As this simple example shows, truths in mathematics are never absolute, but must always be understood as relative to a background system. Unlike in physics, in which there is just one world to determine what is true or false, mathematics allows the existence of many different interpretations. So an assumption like Euclid’s Parallel Postulate and its denial can both be true, but in different mathematical interpretations (in the systems of Euclidean and non-Euclidean geometries). Mathematicians are all the time inventing new imagined worlds without needing to discard or reject the old ones.

A second criticism levelled at fallibilism is that if mathematics is not absolutely necessary then it must be arbitrary or whimsical. Relativist mathematics, the criticism goes, by relinquishing absolutism amounts to ‘anything goes’. Therefore an invented mathematics is based on whims or spur of the moment impulse. For example, Roger Penrose asks, are the objects and truths of mathematics "mere arbitrary constructions of the human mind?" His answer is in the negative and he concludes that mathematics is already there, to be discovered, not invented
reference: http://www.people.ex.ac.uk/PErnest/pome12/article2.htm

Mathematics is a discovered invention :)

ok ,Gannush..
who invented mathematics? or who discovered mathematics?:gun_banda :gun_banda :gun_banda :gun_banda

God, the Almighty invented it.

Humanbeings discovered it :)

Oh my god!There is a very exciting discussion here.

In my opinion,Mathematics is an invention which has been discovered by people due to their calculation needs...