I think math is a discovery because it describes the universe so well...
Think about it. Anything can be explained by math, it can predict so many occurances, etc., etc. If it really is a man-made invention, why is it able to predict things outside the sphere of man's knowledge at the time?
An invention. Humans use math to try and rationalize the world around them.
Math was invented as the tool with which to make calculations.
I would say its an invention, but who's to say there aren't other civilizations who haven't invented the same sort of concept?
Math is an invention.
You can't "touch" numbers in the real world. Math is an abstract and intangible concept/idea.
I think Demaris and DTBK said it best
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An invention. Humans use math to try and rationalize the world around them.
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Math was invented as the tool with which to make calculations.
No. Math is a discovery. Example:
Let's assume humans didn't exist; what does 2 + 2 equal? 4!!!
However, people have "invented" proofs and formulas; but to a better definition, have only simplified problems like 2 + 2 or the incredibly evil: lim(c-->0) f(x) = f(x + c) - f(x) / c
It was both IMO. Same with time basically.
Oh and also, my english Teacher called Math "Satan's tool" lol
Math is a discovery, the numbers we use for it are the inventions. But those numbers are just writings, they're variables. It's what those writings represents. That's what math truly is.
But the bottom line is, who really cares? It's universal. Every intelligent life form across the universe uses math and logic in some way, just with different numbers.
The idea behind math is just a part of nature, recording this data is an invention. Basically math was invented to explain how things worked in the world. Before people invented math, they would simply have had to use estimations on how things would work, based upon previous experiences, which in its own way would be a basic form of math. So we invented the basic ideas behind understanding mathematics before we invented the actual calculations. Calculations came around after writting, so it might be thought that math was invented after people could share their ideas in their essence.
Actually after thinking about it Math is neither a Discovery nor an Invention, it is an understanding. You don't "find" math, as you could discover gold or such. And you can't invent math, (not saying you can't invent your interpretation of math, where 2+2 = 22 But that doesn't explain anything in real life...) you can only try to understand why it is there.
Math is an invention, no further comments about it
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Let's assume humans didn't exist; what does 2 + 2 equal? 4!!!
Wrong.
Say we used trinary instead of tenary (I know it's not called that, but I can't remember, I have the flu.)
2+2 would, in fact, equal 11
ADDITION:
We only use tenary (SOMEONE CORRECT ME!!) because we have ten fingers. That's how we decided.
Discovery.
Math always existed. 5 wolves in a pack.. one died.. 4 wolves in a pack.
We just gave it a name and found formulas. They were already there.
It can't be just coincidence.. formulas werent created.. they were tested and discovered.
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Math is an invention, no further comments about it
Did u really expect anyone to listen?!?!

ADDITION:
Oh and yes, we probably did decide on tenary because of 10 fingers.. but we would still have the number 8 counting as the 10 if we had 8 fingers..
The numbers were there, we decided the system to using them.
Its so fun to theoretically (verbally) spar with shapechanger.. theorists are so fun to argue with

QUOTE(CheeZe @ Sep 15 2005, 10:21 PM)
No. Math is a discovery. Example:
Let's assume humans didn't exist; what does 2 + 2 equal? 4!!!
However, people have "invented" proofs and formulas; but to a better definition, have only simplified problems like 2 + 2 or the incredibly evil: lim(c-->0) f(x) = f(x + c) - f(x) / c
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2+2 doesn't = 4. You should know that CheeZe.
Tenary... what the hell are you guys smoking? It's more like DECIMAL.
Bah, binary, hexidecimal and all that stuff is still numbers, just using different representation, much like how I could say 2 = h or 5x = 3.
The fact remains those numbers existed whether or not someone had to "invent" it. Like I said, 2+2 is still 4 even if no humans existed.
No, numbers don't exist. We created the concept of numbers. What is "2" and what is "+" and what is "=" and what is "4".
I wouldn't say "invent" I think thought of is more accurate.
And 2+2 doesn't equal 4 anyway.
This is why devilesk, I believe you have no sense of logic. I really don't care how you interpret it; it doesn't matter. The general public knows what I'm talking about.
I could potentially say, I have no idea what
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No, numbers don't exist. We created the concept of numbers. What is "2" and what is "+" and what is "=" and what is "4".
I wouldn't say "invent" I think thought of is more accurate.
And 2+2 doesn't equal 4 anyway
means. And every reply you give, I could say the same thing. Be serious or provide accurate responses. Otherwise, stop spamming.
How do you discovery an idea?
How do you discover the road to your house?
By following something that already exists! Two plus two will always be four. I don't care what definitions you use for two or four or whatever word I'm using, it will always be like that.
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How do you discover the road to your house?
By following something that already exists! Two plus two will always be four. I don't care what definitions you use for two or four or whatever word I'm using, it will always be like that.
Numbers don't exist.
Define numbers. Then, explain why it doesn't exist.
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Define numbers. Then, explain why it doesn't exist.
Can you define numbers?
I'll just use wikipedia
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A number is an abstract entity used originally to describe quantity. At least since the invention of complex numbers, this definition must be relaxed. Preserving the main ideas of "quantity" except for the total order, one can define numbers as elements of any integral domain.
Representation usually of quantity or of an organized list in which each amount is greater than its predecessor.
All right; in that case, prove that it does not exist. I have given you the definitions; prove that we don't use it. Nor accept its existance.
Give me your definition of existence as well.
You can't prove that math is correct, even though it is the most widely accepted... anything.
Existing means "Be real". Math is real.