In a realistic sense no two objects can be 100% identical. So 1+1 can never occur (In nature OR can it??) because we'll never have 1 object = to another object, but math is based on a science which is based on a theory... yadda yadda

I can't wait to get off work! Working over a weekend after a holiday = B-O-R-E-D-O-M

[quote author=Paul link=board=36;threadid=3961;start=0#msg32586 date=1070179190]
math is based on a science[/quote]
Excuse me? Math is completely independent of science, especially in the last century or so.

[quote author=Yoni link=board=36;threadid=3961;start=0#msg32596 date=1070190314]
[quote author=Paul link=board=36;threadid=3961;start=0#msg32586 date=1070179190]
math is based on a science[/quote]
Excuse me? Math is completely independent of science, especially in the last century or so.
[/quote]

"A science" meaning a knowledge... Not Science like Chemistry...

Aren't the sciences based on math?

Real math is purely theoretical (and number theory doubly so), rendering any "realistic sense", as you put it, completely useless.

[quote author=Paul link=board=36;threadid=3961;start=0#msg32586 date=1070179190]
In a realistic sense no two objects can be 100% identical. So 1+1 can never occur (In nature OR can it??) because we'll never have 1 object = to another object, but math is based on a science which is based on a theory... yadda yadda

I can't wait to get off work! Working over a weekend after a holiday = B-O-R-E-D-O-M
[/quote]

I'm in Algebra 1 Student but I'm also a math Geniuess so ill try to answer this. In math there is 4 things, defined, undefined, postulate, and theerumn. 1 Is acaully deffinition which falls under defined. It acually is made out of no wear, but the deffinition of 1 is first whole number. (2 is 1+1), Things like books are approximate, numbers aren't since they always the same number. You cant change a number. Just try thinking about it.... This is what makes math so great :-)

[quote author=CrAzY link=board=36;threadid=3961;start=0#msg33395 date=1070459389]
[quote author=Paul link=board=36;threadid=3961;start=0#msg32586 date=1070179190]
In a realistic sense no two objects can be 100% identical. So 1+1 can never occur (In nature OR can it??) because we'll never have 1 object = to another object, but math is based on a science which is based on a theory... yadda yadda

I can't wait to get off work! Working over a weekend after a holiday = B-O-R-E-D-O-M
[/quote]

I'm in Algebra 1 Student but I'm also a math Geniuess so ill try to answer this. In math there is 4 things, defined, undefined, postulate, and theerumn. 1 Is acaully deffinition which falls under defined. It acually is made out of no wear, but the deffinition of 1 is first whole number. (2 is 1+1), Things like books are approximate, numbers aren't since they always the same number. You cant change a number. Just try thinking about it.... This is what makes math so great :-)
[/quote]
For some reason I feel "Geniuess" describes that post oh so well.

Anything you write down on paper that you pull out of your head is exact (1+1=2), while anything measured from the real world is doomed to be inexact.

[quote author=St0rm.iD link=board=36;threadid=3961;start=0#msg33475 date=1070487096]
Anything you write down on paper that you pull out of your head is exact (1+1=2), while anything measured from the real world is doomed to be inexact.
[/quote]

So, what you usually do is you pick some numbers, and do an exact calculation based on those and that your theory is correct. Then you look at the result you got and try to guess how much wrong it might be (there are good methods to help you guess), and finally you get a theoretical result with an error margin to use or compare with the practical result.