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My Number Is Not Your Number!

Posted: Tue Nov 18, 2014 4:42 am UTC
by Reecer6
The rules for this are very simple!

RULES:
1. You must post a number that is different to the last number posted.
2. You must prove they are not the same number.
3. The same number in different notations is still the same!
3. You may use any notation to create or prove your number, preferably explained
4. No... cheating?
5. You can't use meta references like "The last poster's number but not."

I will start off with 1. Many numbers are not 1!

Re: My Number Is Not Your Number!

Posted: Tue Nov 18, 2014 5:24 am UTC
by Elmach
[][[]] (6), using recursive prime bracket-notation.
This number is composite, and has a pair of distinct prime factors. The previous post contains only numbers that: are prime, are square, or are not composite. Thus, [][[]] has not been used in the previous post, and thus, this play is valid.

As a note; does each number have to be different from all the previous numbers, or just those used in the previous post?

A further note: how many numbers may be written per post?

A final note: Does this also mean that we may not use words that contain the aforementioned numbers, such as (forgive me for my sins) one might do in this sentence?

Re: My Number Is Not Your Number!

Posted: Tue Nov 18, 2014 6:34 am UTC
by Vytron
7

Proof that it's not one of the previously posted numbers:

It's the sum of both numbers. If it was either one then you could get one of the already posted numbers by dividing it by 2, but you get 3.5 instead.

Re: My Number Is Not Your Number!

Posted: Tue Nov 18, 2014 9:00 am UTC
by WarDaft
6

As proven (sort of) in the previous post, their number is not 6, thus, 6 is different than their number.

Re: My Number Is Not Your Number!

Posted: Tue Nov 18, 2014 10:47 am UTC
by orangedragonfire
2.7

All the other numbers have been whole numbers; this one isn't. Thus it is different.

Re: My Number Is Not Your Number!

Posted: Tue Nov 18, 2014 11:07 am UTC
by faubiguy
7.29

This number is equal to the square of the previous number, and it is neither 1 nor 0. Therefore is is different.

Re: My Number Is Not Your Number!

Posted: Tue Nov 18, 2014 11:13 am UTC
by AarexTiaokhiao
729 (previous number times one hundred)

Re: My Number Is Not Your Number!

Posted: Tue Nov 18, 2014 11:49 am UTC
by faubiguy
749

Since the decimal representation of this number and the previous number differ in the second digit, the numbers must be different.

Re: My Number Is Not Your Number!

Posted: Tue Nov 18, 2014 12:35 pm UTC
by Reecer6
Elmach wrote:As a note; does each number have to be different from all the previous numbers, or just those used in the previous post?

Just the last one posted.

Elmach wrote:A further note: how many numbers may be written per post?

Preferably one, but nothing is stopping someone from proving 17 different numbers aren't the one before them at once.

Elmach wrote:A final note: Does this also mean that we may not use words that contain the aforementioned numbers, such as (forgive me for my sins) one might do in this sentence?

You aren't submitting that "one," are you? It's fine.

107.

Dividing 749 by 7 results in this. If they were the same number, then 749/7 would be equal to 7/7, which simplifies to 1/1, and then 1. However, clearly, dividing 749 by 7 gives you 107, which is not one because 107-1=106, a nonzero number. Why do we know that 0 is not 106? Simply because you can't divide anything by zero, but you can with 106.

Re: My Number Is Not Your Number!

Posted: Tue Nov 18, 2014 2:54 pm UTC
by AarexTiaokhiao
floor(sqrt(107)) = 10

Re: My Number Is Not Your Number!

Posted: Tue Nov 18, 2014 2:58 pm UTC
by orangedragonfire
10 + 5i

This number is not a real number, and therefore different from the previous number which is a real number.

Re: My Number Is Not Your Number!

Posted: Tue Nov 18, 2014 4:58 pm UTC
by AarexTiaokhiao
15

1i become to 1.

Re: My Number Is Not Your Number!

Posted: Tue Nov 18, 2014 5:06 pm UTC
by faubiguy
17

The result of XORing the binary representation of this number and the previous number is 30. Since this is not 0, the numbers are different.

Re: My Number Is Not Your Number!

Posted: Tue Nov 18, 2014 5:13 pm UTC
by AarexTiaokhiao
59

Previous number-th prime number

Re: My Number Is Not Your Number!

Posted: Tue Nov 18, 2014 5:39 pm UTC
by Reecer6
Aarex, that's a meta-reference!
17 * 2 = 34, my submitted number.
If they were the same, 17*1 should equal 34 too! But it equals... 17...
17 * 3 = 51, but who can say that isn't the same either?
51 / 17 = 3, which, being defined, proves it's different!

Re: My Number Is Not Your Number!

Posted: Tue Nov 18, 2014 6:24 pm UTC
by faubiguy
32

The base 2 logarithm of this number is an integer, but the previous number has a non-integer base 2 logarithm. Therefore they are different.

Re: My Number Is Not Your Number!

Posted: Tue Nov 18, 2014 6:27 pm UTC
by AarexTiaokhiao
32 + 3.2 = 35.2

Re: My Number Is Not Your Number!

Posted: Tue Nov 18, 2014 6:40 pm UTC
by Reecer6
I challenge that. Prove 32 and 35.2 are different numbers, and that 3.2 is nonzero. They certainly LOOK similar...

Re: My Number Is Not Your Number!

Posted: Tue Nov 18, 2014 8:21 pm UTC
by AarexTiaokhiao
352 (multiply by 10)

Re: My Number Is Not Your Number!

Posted: Tue Nov 18, 2014 9:49 pm UTC
by Vytron
I agree with Reecer6's challenge, Aarex possibly posted the same number as faubiguy.

Re: My Number Is Not Your Number!

Posted: Wed Nov 19, 2014 4:50 am UTC
by Nitrodon
ln(2)

This number is irrational, while Aarex's and faubiguy's numbers are both rational. Regardless of the outcome of Reecer6's challenge, this number is not the previous number.

Re: My Number Is Not Your Number!

Posted: Wed Nov 19, 2014 5:09 am UTC
by Vytron
0

This isn't ln(2).

Proof:

ln(2) multiplied by itself gives a positive number, while my number multiplied by itself gives 0. If mine was the same it'd give a positive number too.

Re: My Number Is Not Your Number!

Posted: Wed Nov 19, 2014 12:35 pm UTC
by AarexTiaokhiao
10 (Added a digit 1 before 0)

Re: My Number Is Not Your Number!

Posted: Thu Nov 20, 2014 7:04 am UTC
by Vytron
Prove that adding a 1 before my number produces a different number.

Re: My Number Is Not Your Number!

Posted: Fri Nov 21, 2014 7:24 pm UTC
by alemagno1250
epi+phi/googol+x*x+x*x+googolplex (googol = 10100) (x = epi+phi/googol) (googolplex = 10googol)
This is different because it does not exist any number to be equal to the resultant value of this. In this topic.
Also, when adding googolplex, we have not seen any number greater or equal to googolplex in this topic.
Really.

Re: My Number Is Not Your Number!

Posted: Fri Nov 21, 2014 7:35 pm UTC
by AarexTiaokhiao
googolplex (10googol (googol = 10100))

Re: My Number Is Not Your Number!

Posted: Fri Nov 21, 2014 7:40 pm UTC
by alemagno1250
AarexTiaokhiao wrote:googolplex (10googol (googol = 10100))

Can you prove that this is different to my number?

Re: My Number Is Not Your Number!

Posted: Fri Nov 21, 2014 10:09 pm UTC
by faubiguy
3^^^3 (using up-arrow notation)

The result of an up-arrow operation where the first operand is n always a power of n. Therefore my number is a power of 3. Aarex's number (googleplex) is a power of 10, and is therefore divisible by 10. Powers of 3 are only divisible by numbers of the form 3n, where n is an integer. 10 is not such a number. Therefore my number is not divisible by 10, therefore is not a power of 10, therefore is not googleplex.

Re: My Number Is Not Your Number!

Posted: Fri Nov 21, 2014 11:02 pm UTC
by alemagno1250
3^^^^^^^^^^^^^^^^^^3-3+3+33-3+33
More arrows, more different.

Re: My Number Is Not Your Number!

Posted: Fri Nov 21, 2014 11:07 pm UTC
by AarexTiaokhiao
7^^^^^^^^^^^^^^^^^^7-7+7+77-7+7

Re: My Number Is Not Your Number!

Posted: Fri Nov 21, 2014 11:21 pm UTC
by Reecer6
Aarex. Prove that big 7 number is not the big 3 number. Your number doesn't count until you do.

Re: My Number Is Not Your Number!

Posted: Sat Nov 22, 2014 4:48 am UTC
by Vytron
I doubt Aarex is interested in his numbers counting by the looks of it.

Re: My Number Is Not Your Number!

Posted: Sat Nov 22, 2014 6:01 am UTC
by Nitrodon
111

The previous number is the sum of six odd integers, and is thus even. This number is odd, so it is not the previous number.

Re: My Number Is Not Your Number!

Posted: Sat Nov 22, 2014 6:36 am UTC
by faubiguy
-2

The previous number is greater than 40. My number is less than 40, therefore it is not the previous number.

Re: My Number Is Not Your Number!

Posted: Sat Nov 22, 2014 1:59 pm UTC
by alemagno1250
8
The previous number was negative, and this number is positive, and a negative can't be a positive, so my number is different than the previous number.

Re: My Number Is Not Your Number!

Posted: Sun Nov 23, 2014 2:40 am UTC
by Vytron
Infinity.

My number +1 is still my number, but the one before becomes different, so they must not be the same one.

Re: My Number Is Not Your Number!

Posted: Sun Nov 23, 2014 4:53 am UTC
by Reecer6
ω1.

My number is uncountable, the previous number can very much be counted. Thus, they are different numbers.

Re: My Number Is Not Your Number!

Posted: Sun Nov 23, 2014 6:32 am UTC
by Vytron
ω1CK

This is the Church–Kleene ordinal.

Consider the game of chess played on an infinite board. Only a finite number of pieces are allowed.

Consider the set of all positions in infinite chess as the chessboard's size approaches ω1.

Iff white has a won position then p=0.

Iff white is to move in position p, and if all the legal moves white can make have a minimal value of a given ordinal, then Value(p)=that ordinal + 1 (in ordinal addition.)

Iff black is to move in position p, and if all the legal moves Black can make have a supremum of a given ordinal, then Value(p)=that ordinal.

ω1CH is the supremum of the values of all the positions from which White can force a win.

If an infinite number of pieces are allowed, the supremum is called ω1CH~

ω1CH~ = ω1

Since to reach this value you have to increment the number of pieces from finite to infinite, ω1CK and ω1 can't be the same (that'd make ω1CH~ and ω1CH the same leading to contradiction (that something finite is infinite).)

Re: My Number Is Not Your Number!

Posted: Mon Nov 24, 2014 9:47 am UTC
by Neil_Boekend
6

Re: My Number Is Not Your Number!

Posted: Mon Nov 24, 2014 5:32 pm UTC
by Vytron
Are you sure 6 isn't ω1CK? And why?