# There exists one number N

by arbol
Tags: exists, number
 P: 894 Arbol I just wanted to say that your last post is well thought out and very logical and correct. It is true though that some take the liberty to give their own definition of 0^0 if it suits their purposes.
Math
Emeritus
Thanks
PF Gold
P: 39,318
 Quote by arbol It is necessary that N is not an interger, but it is one number.
You said, initially, that is was a natural number. All natural numbers are integers. So your first post was wrong?
P: 894
 Quote by HallsofIvy You said, initially, that is was a natural number. All natural numbers are integers. So your first post was wrong?
I agree that there is a contradiction there but I would rather that a mentor look to recognise that most everyone gains more insight as they interact with their surroundings and others and be a little more gentle in helping them to a greater understanding of things. You probably felt it necessary to point out the contradiction since Arbol has acted a little more knowing than is shown by his original posts and also was seemingly never willing to admit error. I dont mind as much and celebrate his better postings. If he has cause you to have bad feelings about him that is his loss and I would urge him to take note of your comment as a lessen not to be too conceited in the future and more willing to learn from someone who has more experience in the field.
 Math Emeritus Sci Advisor Thanks PF Gold P: 39,318 ?? I don't have any "bad feelings"- I simply pointed out that he was wrong. You seem to be under the impression that correcting an error is impolite. Certainly you wrote a very complementary response to his post that said, in essence, "computers say 00= 1, therefore it is."
P: 894
 Quote by HallsofIvy You said, initially, that is was a natural number. All natural numbers are integers. So your first post was wrong?
On second thought, I would like Arbol to note that no number X can get close to infinity
since if X is a number then $$X^X$$ is always less than infinity. Since others have shown that N as defined in his first post is infinity, I would like Arbol's response as N is neither a rational or irrational number!

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