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Is mathematics discovered, developed, or both?
#1
Is mathematics discovered, developed, or both?
Basically the title. What do you think? Time to debate.
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#2
RE: Is mathematics discovered, developed, or both?
(6th November 2016, 11:43)Macoleco Wrote: Basically the title. What do you think? Time to debate.

Mostly (if not completely) developed.
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#3
RE: Is mathematics discovered, developed, or both?
Developed.
God(s) and religions are man made and the bane of humanity. 

Of all the things I've lost, I miss my mind the most. Ozzy or Twain/take your pick
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#4
RE: Is mathematics discovered, developed, or both?
All of math was developed, even the bits we "discovered". There was a thread a few years ago about whether Pi was discovered or invented.

Its a bit of both. Pi as a number was discovered, however the way it's defined (as the ratio of a circle's diameter to its circumference) is entirely invented. Circles are a human invention; they don't appear in nature.
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#5
RE: Is mathematics discovered, developed, or both?
But what if we compare it to physics, or chemistry? It is discovered, and developed at the same time.

If mathematics is the purest science there is, isnt mathematics the study of the universe as a whole? I believe there is a bit of both.
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#6
RE: Is mathematics discovered, developed, or both?
I'd just say they're all man-made models and concepts used to describe things, they don't exist in themselves as something.
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#7
RE: Is mathematics discovered, developed, or both?
In my opinion, ideally, it is a discovery: one sets certain axioms as a starting point and discovers the tree of theorems which results from them. In reality, a lot of developing is going on, namely shaping and formulating the concepts with which one works. For instance, the concept of connectedness or simple connectedness was developed by mathematicians to express certain properties of sets. The rules which sets have this property and what other properties such sets have, is something that is discovered by formulating conjectures and proving them.
The fool hath said in his heart, There is a God. They are corrupt, they have done abominable works, there is none that doeth good.
Psalm 14, KJV revised edition

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#8
RE: Is mathematics discovered, developed, or both?
Go do some arithmetic in base -pi.

Then get back to me . . . .
That's why our administration has moved aggressively to secure our borders more, by hiring a record number of new border guards, by deporting twice as many criminal aliens as ever before, by cracking down on illegal hiring, by barring welfare benefits to illegal aliens . . . The jobs they hold might otherwise be held by citizens or legal immigrants. The public service they use impose burdens on our taxpayers. . . . it is wrong and ultimately self defeating for a nation of immigrants to permit the kind of abuse of our immigration laws we have seen in recent years and we must do more to stop it.   


                                                               William Jefferson Clinton
























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#9
RE: Is mathematics discovered, developed, or both?
(6th November 2016, 12:59)Alex K Wrote: In my opinion, ideally, it is a discovery: one sets certain axioms as a starting point and discovers the tree of theorems which results from them. In reality, a lot of developing is going on, namely shaping and formulating the concepts with which one works. For instance, the concept of connectedness or simple connectedness was developed by mathematicians to express certain properties of sets. The rules which sets have this property and what other properties such sets have, is something that is discovered by formulating conjectures and proving them.


Pretty much the way it seems to me too.  The discoveries all take place within a domain we've completely contrived.  Learning mathematics feels like discovering immutable facts but those facts depend entirely on the definitions we've chosen.
(16th February 2017, 18:16)TheOther JoeFish Wrote: So what you're saying is that I can harass all of the members I want for the next 168 hours, as long as I do so in my signature?
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#10
RE: Is mathematics discovered, developed, or both?
the concept of mathematics is a human invention, but the relations we can see in nature are things we can discover. nature has not just one mathematical property, it has only mathematical properties. so even though we created the concept of mathematics and use a human language to describe the patterns we see, we can still find more and more patterns in nature that follow the same principles.
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