22 Mar '06 17:25

THIRTY- SIX MINUS TEN

3+3x3

5x5x0

20-15

ADD THE NUMBERS

3+3x3

5x5x0

20-15

ADD THE NUMBERS

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rushing to and fro- Joined
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The sky- Joined
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rushing to and fro- Joined
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The sky22 Mar '06 19:27

From Wikipedia: "A number is an abstract entity that represents a count or measurement. A symbol for a number is called a numeral." A number written in letters is still a number.*Originally posted by leisurelysloth***looks like letters to me ðŸ˜‰**

EDIT: Cute whale miss (is it miss?) Nordlys.

Whalechicken's Faith Whale is cuter than mine, but I am still glad he shared this one with me.- Joined
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rushing to and fro22 Mar '06 19:36

numeral n: a word or symbol representing a number -- Merriam-Webster Dictionary*Originally posted by Nordlys***From Wikipedia: "A number is an abstract entity that represents a count or measurement. A symbol for a number is called a numeral." A number written in letters is still a number.**

Whalechicken's Faith Whale is cuter than mine, but I am still glad he shared this one with me.

In either case, I stand corrected. ðŸ˜³- Joined
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Out of my mind- Joined
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p^2.sin(phi)23 Mar '06 12:11

We'll have none of that. We're using the Peano axioms in this thread.*Originally posted by TheMaster37***Don't forget the minus signs, possibly indicating negative nubers.**

1. 0 is a number.

2. The succesor of any number is a number.

3. If*a*and*b*are numbers and they have the same succesor then*a*equals*b*.

4. 0 is not the succesor of any number.

5. If**S**is a set containing 0, and the succesor of any number*n*is included in**S**then**S**contains all the numbers.

By rule 4 negative numbers are not numbers.- Joined
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23 Mar '06 15:32

Ah, but the standard definition of the real number includes the axioms:*Originally posted by XanthosNZ***We'll have none of that. We're using the Peano axioms in this thread.**is a set containing 0, and the succesor of any number

1. 0 is a number.

2. The succesor of any number is a number.

3. If*a*and*b*are numbers and they have the same succesor then*a*equals*b*.

4. 0 is not the succesor of any number.

5. If [b]S*n*...[text shortened]... b]S[/b] then**S**contains all the numbers.

By rule 4 negative numbers are not numbers.[/b]

a. There is an additive identity (0)

b. Every number has an additive inverse

c. There is a multiplicative identity (1)

d. Every number (except 0) has a multiplicative inverse

e. 0 != 1

c. and b. imply the existence of -1 as a real number.- Joined
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26 Mar '06 16:541 edit

Peanos axioms is about natural numbers, not only numbers. -1 is not a natural number by these asioms, for that you have to have an extention to the natural numbers - the integers.*Originally posted by XanthosNZ***We'll have none of that. We're using the Peano axioms in this thread.**is a set containing 0, and the succesor of any number

1. 0 is a number.

2. The succesor of any number is a number.

3. If*a*and*b*are numbers and they have the same succesor then*a*equals*b*.

4. 0 is not the succesor of any number.

5. If [b]S*n*...[text shortened]... b]S[/b] then**S**contains all the numbers.

By rule 4 negative numbers are not numbers.[/b]

But of course -1 is a number. (Of which kind?) An integer. (Not a natural number?) No, there is no negative natural numbers. Not by the Peanos axiom of the natural numbers, anyway. (Why?) Zero is the smallest natural number. (Why?) "0 is not the successor of any natural number."- Joined
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