Now don't get carried away thinking that your looking up something on the web justifies being insulting.I think my posting you a link that you don't even bother to look at *is* insulting.
And your textbook is wrong if you think it is describing the algebra that's taught in high school. This requires more than ten rules.
I would take the time to name them all if it really was crucial to my point but you are getting sidetracked trying to make a simple mistake into a case of incompetence.
If it is not crucial, why did you bother to say *eight* axioms in the first place? If it is not crucial, why bother to look it up in a book and claim ten later? The reason it is crucial and the reason you bothered to do those things is because you want to give the appearance of knowing what you're talking about. In fact, I think you probably even think you *do* know what you're talking about. But I'm not going to let you get away with it.
...but when someone says that algebra actually represents reality...
Which no one claims, unless you are making that claim. If you are, I will be happy to wager, based on the track record of similar claims of Truth in the past, that you are wrong.
Whether you "choose" to believe they are real...
Again, you are simply showing your ignorance of math and science. We choose the axioms of mathematical and scientific theories based on utility. In science the utility of theories is based largely on their ability to make very good predictions about physical phenomena. There is no claim of Absolute Truth.
First, I DID read the page you linked to. Even if I had not, it is not an insult. You did not write them. What if I posted a list of links and demanded that you read and debate them point by point. I found that the groupings of axioms (which are the same) is less clear.
"If it is not crucial, why did you bother to say *eight* axioms in the first place?"
I was going from memory and made a simple mistake. I guess I am to believe you do not make these kind of mistakes.
"The reason it is crucial and the reason you bothered to do those things is because you want to give the appearance of knowing what you're talking about."
And you are giving the appearance of a thick-headed, time waster. You must be a real pain to be around. I am glad I do not have family or coworkers who are so annoying. And of course I leave off friends because they would not remain in that circle for long. Do you realize what a condescending, self-important, weasel you come across as.
"Which no one claims [that algebra represents reality], unless you are making that claim. "
As a matter of fact MOST people make that error. And you can probably find some in this forum. Einstein pointed out the tendency of people to view math this way. I am not exactly sure what you were trying to wager here. But never mind, I have no interest in any such dealings with you anyway.
"There is no claim of Absolute Truth."
Well at least you got that right. You do not know the truth. I do not think you really have anything to contribute.