QUOTE(Ebe)
In the real world, if I take one car, and then compare it to another car, even of the same model, they will be different.
But 1 isn't a car, is it? Two cars can't be equal to each other unless they are in all ways equal, and in fact the same car occupying the same space.
There's a difference between "equal" and "equivalent". A car is equivalent to a different car in some sense, but it's not equal to it.
QUOTE(Ebe)
Assuming I am correct in this lack of evidence, there is NO SCIENTIFIC BASIS for the existence of the mathematical principle 1 = 1, because no thing is equal to another thing.
Science is less rigorous than mathematics. You can't prove something in math with science at all.
If you had a scientific proof that something in math was true, then they would laugh in your face because you don't even understand math. Math is rational. Science is empirical. Two completely different ways to gain knowledge.
For all your philosophy talk, you don't even understand basic epistemology.
QUOTE(Ebe)
Of course we can say two onions are the same as eachother
Being "the same" in colloquial speech is not being "equal" in a mathematical sense.
QUOTE(Ebe)
giving the matter thought would readily raise obvious alternatives.
So what's the alternative to 1=1? So far all I've seen from you are basic misunderstandings of logic.
QUOTE(Ebe)
The math book does not explain WHY 1 = 1. It simply tells you that this is in fact, the case.
I don't read your baby math books (and in fact didn't even read them as a kid). I read the books that tells me that the only thing that is equal to something is itself.
QUOTE(Ebe)
EDIT: Oh, and as for mistakes with basic math, basic math tells us that .99999999-repeating 9 is = 1. So now an infinite .9 is = 1. Despite the fact that they're not the same? UH OH.
Good job. You've just proven to me that you have no idea what you're talking about.
If .999... is not equal to 1, then tell me, what is their difference? And if you say an infinite number of zeros with a 1 at the end, then you're an idiot. Try Wikipedia:
http://en.wikipedia.org/wiki/.999.... Or try long division of 1/1, except instead of putting a 1 in the first slot, put a zero. You'll easily see that .999...=1 makes sense..
This isn't a paradox, this is just counterintuitive.
QUOTE(Ebe)
Using only multiplication, division subtraction and addition, I have made a mathematical proof that 1 = 2. DO YOU BELIEVE 1 = 2?
Nope, because that proof was a joke passed around by math people.
Here's a fun game: try to find the error. Hint: it's in this false conclusion: "(a - b) (a + b) = b (a - b) --> (a + b) = b"