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Was mathematics discovered or invented?

Old 27 June 2017, 05:04 AM
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JTaylor
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Default Was mathematics discovered or invented?

Discuss.
Old 27 June 2017, 07:52 AM
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Surely discovered, interested to hear the opinions of others
Old 27 June 2017, 08:28 AM
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Nothing much happened until the discovery of zero.
Old 27 June 2017, 08:59 AM
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Originally Posted by alcazar
Nothing much happened until the discovery of zero.
So you're in the discovered camp, Jeff? Good company.
Old 27 June 2017, 09:00 AM
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Originally Posted by Rob Day
Surely discovered, interested to hear the opinions of others
You too, Rob. Interesting.
Old 27 June 2017, 09:17 AM
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Of course it was discovered.
You can't invent something that already exists, just waiting for someone to discover it.
Old 27 June 2017, 09:57 AM
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Bit of both clearly



HTH
Old 27 June 2017, 10:39 AM
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Discovered, nature is full of mathematical structures.
Old 27 June 2017, 10:39 AM
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Originally Posted by scunnered
Of course it was discovered.
You can't invent something that already exists, just waiting for someone to discover it.
How could mathematics simply exist?
Old 27 June 2017, 10:43 AM
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Originally Posted by wrx300scooby
Discovered, nature is full of mathematical structures.
Phi.
Old 27 June 2017, 10:46 AM
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Does it matter?

Anyhow I thought Casio first discovered it.........

dl
Old 27 June 2017, 11:38 AM
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Originally Posted by JTaylor
Phi.
Old 27 June 2017, 11:47 AM
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Originally Posted by wrx300scooby
Φ
Old 27 June 2017, 11:56 AM
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Originally Posted by JTaylor
Φ
Old 27 June 2017, 12:03 PM
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1.618 to 1. the divine number.
Old 27 June 2017, 12:16 PM
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Originally Posted by scunnered
Of course it was discovered.
You can't invent something that already exists, just waiting for someone to discover it.
Originally Posted by wrx300scooby
Discovered, nature is full of mathematical structures.
Nature only became full of mathematical structures when man kind invented the concept of maths. Previous to that point they were all just arrangenembts of matter. Unless of course you believe in a god and that he chose to construct things using that ratio because he deemed it to be asthetically pleasing...
Old 27 June 2017, 12:26 PM
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Originally Posted by neil-h
Nature only became full of mathematical structures when man kind invented the concept of maths. Previous to that point they were all just arrangenembts of matter. Unless of course you believe in a god and that he chose to construct things using that ratio because he deemed it to be asthetically pleasing...
The structures were there, man realised that there were patterns/shapes that fitted together and so began the journey.
Old 27 June 2017, 12:29 PM
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Originally Posted by wrx300scooby
The structures were there, man realised that there were patterns/shapes that fitted together and so began the journey.
Yeah but they weren't expressed in mathematical forms until mankind invented mathematics as way to quantify them.
Old 27 June 2017, 01:21 PM
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Originally Posted by neil-h
Yeah but they weren't expressed in mathematical forms until mankind invented mathematics as way to quantify them.
This. Numbers (including zero), addition, subtraction, multiplication etc (and a way of recording them) had to be invented before all the mathematical equations and laws in nature could be discovered.

In the same way that the scientific principle had to be invented before scientific discoveries could be made.
Old 27 June 2017, 01:37 PM
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Originally Posted by JTaylor
How could mathematics simply exist?
God created it? ∞


Old 27 June 2017, 02:00 PM
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Originally Posted by TECHNOPUG
This. Numbers (including zero), addition, subtraction, multiplication etc (and a way of recording them) had to be invented before all the mathematical equations and laws in nature could be discovered.

In the same way that the scientific principle had to be invented before scientific discoveries could be made.
Yep, agree here too.

TBH I am surprised it is even a question.....
Old 27 June 2017, 02:17 PM
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Originally Posted by TECHNOPUG
This. Numbers (including zero), addition, subtraction, multiplication etc (and a way of recording them) had to be invented before all the mathematical equations and laws in nature could be discovered.

In the same way that the scientific principle had to be invented before scientific discoveries could be made.

Adding up was not invented though (anymore than gravity was invented)
Old 27 June 2017, 02:53 PM
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Originally Posted by neil-h
Yeah but they weren't expressed in mathematical forms until mankind invented mathematics as way to quantify them.
Originally Posted by Martin2005
Adding up was not invented though (anymore than gravity was invented)
Gravity was neither invented or discovered, it's merely the name given to a mathematical description of the movements of celestial bodies, the tides, the precession of the equinoxes, and other phenomena.

Addition, Subtraction, Multiplication & Division are all methods constructed by humans for describing patterns we discover in the universe. There maybe beings in another galaxy that have constructed different methods for describing the same patterns as us. So whilst the patterns and nature are the same throughout the universe, it requires a sentient mind to invent methods to describe them.
Old 27 June 2017, 02:58 PM
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Originally Posted by TECHNOPUG
Gravity was neither invented or discovered, it's merely the name given to a mathematical description of the movements of celestial bodies, the tides, the precession of the equinoxes, and other phenomena.

Addition, Subtraction, Multiplication & Division are all methods constructed by humans for describing patterns we discover in the universe. There maybe beings in another galaxy that have constructed different methods for describing the same patterns as us. So whilst the patterns and nature are the same throughout the universe, it requires a sentient mind to invent methods to describe them.

So cells didn't divide until we invented division?


I'm sorry but I think we're probably not going to agree here
Old 27 June 2017, 03:13 PM
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Originally Posted by Martin2005
So cells didn't divide until we invented division?


I'm sorry but I think we're probably not going to agree here
I agree
Old 27 June 2017, 03:17 PM
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Originally Posted by Martin2005
So cells didn't divide until we invented division?


I'm sorry but I think we're probably not going to agree here
Of course they divided - but until we recognised/understood that process, and then labelled it, what was it?
Old 27 June 2017, 03:19 PM
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Originally Posted by scoobypaul_temp
Of course they divided - but until we recognised/understood that process, and then labelled it, what was it?

Yes, but there's a difference between understanding something and inventing it


Rocks existed before we called them rocks - we didn't invent them
Old 27 June 2017, 03:21 PM
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Cells didn’t “divide” until we had invented the concept of division. Sure they did something; first there was 1 cell, now there are 2. So is that “addition”? No, it’s something else.

Division needed to be invented as a concept before we could describe what the cells were doing. It’s not the action of division but the mathematical concept of division that was invented. Without it, we wouldn’t be able to describe what we observed. Without inventing the scientific principle for example, we wouldn’t be able to describe the world around us. It would still exist but we’d be describing it as “Gods” or “Magic” – both invented human constructs.

The basic mathematical constructs of numbers, addition, subtraction, multiplication & division had to be invented to observe & describe our world, before discoveries using those principles could be made. Had we invented different forms of observations & descriptions, then our discoveries would be different, even if the patterns in nature remained the same.
Old 27 June 2017, 03:26 PM
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Originally Posted by Martin2005
Yes, but there's a difference between understanding something and inventing it


Rocks existed before we called them rocks - we didn't invent them
Of course we didn't invent them - but - our developed understanding now classifies 'rocks' into lots of different types, yes?
Old 27 June 2017, 03:30 PM
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Originally Posted by TECHNOPUG
Cells didn’t “divide” until we had invented the concept of division. Sure they did something; first there was 1 cell, now there are 2. So is that “addition”? No, it’s something else.

Division needed to be invented as a concept before we could describe what the cells were doing. It’s not the action of division but the mathematical concept of division that was invented. Without it, we wouldn’t be able to describe what we observed. Without inventing the scientific principle for example, we wouldn’t be able to describe the world around us. It would still exist but we’d be describing it as “Gods” or “Magic” – both invented human constructs.

The basic mathematical constructs of numbers, addition, subtraction, multiplication & division had to be invented to observe & describe our world, before discoveries using those principles could be made. Had we invented different forms of observations & descriptions, then our discoveries would be different, even if the patterns in nature remained the same.

We invented the name for them - yes I agree, but that's it.


Did we invent Physics and Chemistry too? Maybe colours and the weather?

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