## My Number Is Not Your Number!

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GoogologyMaster
Posts: 5
Joined: Sat Jan 10, 2015 2:49 pm UTC

### Re: My Number Is Not Your Number!

0.125

The previous number written as a fraction is 9/9, which is a whole number. My number is not a whole number, so they're different.

SirGabriel
Posts: 42
Joined: Wed Jul 16, 2014 11:54 pm UTC

### Re: My Number Is Not Your Number!

e

The previous number can be written as a fraction with integers for the numerator and denominator. This number can't be, so they're different.

lingomaniac88
Posts: 127
Joined: Wed Apr 09, 2008 2:52 am UTC

### Re: My Number Is Not Your Number!

π

It is an unsolved problem as to whether or not π−e is rational. However, if π=e, then π−e would equal 0, which makes said unsolved problem trivial. Contradiction. Therefore, π ≠ e.
"It is common sense to take a method and try it. If it fails, admit it frankly and try another. But above all, try something."
-- Franklin D. Roosevelt

Nitrodon
Posts: 497
Joined: Wed Dec 19, 2007 5:11 pm UTC

### Re: My Number Is Not Your Number!

All you have shown is that π and e are not known to be equal. This does not imply that π and e are not equal.

23/2

This number is a root of a polynomial with integer coefficents (namely x2-8), but the previous number is not a root of any such polynomial. Thus, the numbers are different.

Vytron
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### Re: My Number Is Not Your Number!

Zillion

This number is an ambiguous term used in speech to represent a very large number, without specifying exactly how big, but the -illion is used to refer to a number 10 with some exponent ending on 3. The previous number isn't some kind of powered 10, its exponent doesn't end in 3, and it's a very specific value, so they must be different.

Whizbang
The Best Reporter
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### Re: My Number Is Not Your Number!

Bazillion

Like a zillion, but bigger by at least 3 orders of magnatude.

Vytron
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### Re: My Number Is Not Your Number!

Bazingillion

This is a parody of the zillion thing (i.e. any number ending in "zillion"). Parodies differ from the original material, so this number must be different than any other number ending in "zillion" (that is not a parody, since two parodies can be the same). The last number ends with "zillion", and it's part of a progression (i.e. we could have a "Babazillion" 3 orders of magnatude higher than a Bazillion) so they must be different.

SirGabriel
Posts: 42
Joined: Wed Jul 16, 2014 11:54 pm UTC

### Re: My Number Is Not Your Number!

1

The previous number is a very large number of unspecified size. 1 is a small number of a specific size. Therefore they are different.

Vytron
Posts: 429
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### Re: My Number Is Not Your Number!

11

This is twice the previous number, not multiplicatively, but side by side.

No matter what base you use, in base 1 it's bigger, in base 2 it's bigger, and actually, the bigger base you use the bigger this number is from the previous number.

For instance:

11Bazingillion

You need at least a Bazingillion characters to reach 11 in base Bazingillion, so 11 can be a Bazingillion orders of magnitude higher than 1.

So they must be different.

GoogologyMaster
Posts: 5
Joined: Sat Jan 10, 2015 2:49 pm UTC

### Re: My Number Is Not Your Number!

Now I think this is going to ruin the game...

Oxygen

Vytron
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### Re: My Number Is Not Your Number!

For Oxygen to be a number you require a base of at least 35, which is, 10 for numerals, and 25 for all letters from a to y 6, where the O, x, y, g, e, and n are numerals.

So, Oxygen can be translated to a series of numbers:

123456
123465
123564
123654
123546
123645
...

Etc. Each of the orders of those digits are possible values. So are those that include a 7 instead of a 1, a 7 instead of a 2... an 8 instead of a 1, an 8 instead of a 2... And so on.

They are a ton of values.

Luckily, I don't have to check every swan and check if they're black, I just need to show a black swan and this will work.

So, let's assume Oxygen is 123456 for the moment. It may not be, who cares for now.

If Oxygen is 123456 then 11, the number I posted, can be equal to Oxygen in base 123454

11123454 = Oxygen

So they could be the same number.

Let's look at the next one:

Oxygen = 123465

We have:

11123463 = Oxygen

And that's our pattern.

GoogologyMaster's number and my number are the same at:

11Oxygen-2 = Oxygen

Making his entry invalid.

But I think the game wasn't ruined and it's fine.

SirGabriel
Posts: 42
Joined: Wed Jul 16, 2014 11:54 pm UTC

### Re: My Number Is Not Your Number!

0.9

11 (and Oxygen, if it's a number) are both greater than 1. 0.9 is less than 1, so they're different.

Vytron
Posts: 429
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### Re: My Number Is Not Your Number!

0.8999...

Where the 9s keep repeating.

In a different base from SirGabriel's.

Now, just set the numbers to the same base, and you'll see they're identical, so that a-b=0, whether a is my number and b is SirGabriel's, or vice versa, but if you adjust their bases to be slightly different, then you can no longer get 0.

So by definition, our numbers aren't the same.

GoogologyMaster
Posts: 5
Joined: Sat Jan 10, 2015 2:49 pm UTC

### Re: My Number Is Not Your Number!

0

This is equal to 0 times the previous number and the previous number is nonzero.

Vytron
Posts: 429
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### Re: My Number Is Not Your Number!

O

For a number base that uses O as a symbol other than to represent 0.

This base can be fractional, or irrational so actually, O can be used to represent any number, except 0, so it must be different than the previous poster's.

But, as to the below poster's? I'd like to see them try.

SirGabriel
Posts: 42
Joined: Wed Jul 16, 2014 11:54 pm UTC

### Re: My Number Is Not Your Number!

Vytron wrote:This base can be fractional, or irrational

Really? I've never heard of such a thing.

(sqrt(2)*i)/0

I can't think of any circumstances where a fractional, irrational, imaginary, infinite base would be usable, if such a thing is even allowed, so this differs from the previous number.

Vytron
Posts: 429
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### Re: My Number Is Not Your Number!

Really? I've never heard of such a thing.

Yeah, base pi and base e are things.

I send:

0.0<0>01

With an infinite number of 0s. In other words this is the limit of 1/10, 1/100, 1/1000, 1/10000...

Depending on the system you use, this might be zero, or this may be the very first number higher than 0 so that there's no number between this and 0 (for systems that don't use the axiom that there's always a number between any two numbers.)

This is a clearly defined number by the principles of above.

However, SirGabriel's number is undefined, as, when trying to solve for its division by 0, we can get different results depending on when we start, or the order of operations, or even the method used, and by being tricky enough we can use it to prove stuff like 1=2, and that I am your mother, by the principle of explosion.

Since a number can't be defined and undefined at the same time, our numbers should be different.

SuperJedi224
Posts: 16
Joined: Thu Apr 16, 2015 4:19 pm UTC

### Re: My Number Is Not Your Number!

2.

This number is greater than every element of the sequence above. The sequence above is strictly decreasing. Therefore, the limit of the sequence above cannot be 2, and 2 does not equal the above number.

SirGabriel
Posts: 42
Joined: Wed Jul 16, 2014 11:54 pm UTC

### Re: My Number Is Not Your Number!

3

This number can be represented in binary by two of the same digit in a row, but the previous number requires two different digits to represent it in binary, so they are different.

SuperJedi224
Posts: 16
Joined: Thu Apr 16, 2015 4:19 pm UTC

### Re: My Number Is Not Your Number!

<Accidental double post, ignore this one>
Last edited by SuperJedi224 on Sun Aug 16, 2015 7:19 pm UTC, edited 1 time in total.

SuperJedi224
Posts: 16
Joined: Thu Apr 16, 2015 4:19 pm UTC

### Re: My Number Is Not Your Number!

0.

This number is not your number because, in the standard set-theoretic notation, zero is the empty set, but the set representing your number ( {{}{{}}{{}{{}}}} ) is nonempty.

Vytron
Posts: 429
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### Re: My Number Is Not Your Number!

<>

In recursive prime factorization.

The way it works is that to find the value of a number, you take:

<n>

Extract n, and return the nth prime.

For instance:

<7>

Would be the 7th prime, or 17 (well, actually the symbol "7" isn't used in this notation, but it's an example).

Symbols adjacent to each other multiply, so:

<75> = <7*5> = <35> = 149 (the 35th prime)

Zero can't be represented in this system (if there was symbol y that represented 0, it would multiply itself by everything else, turning them into 0s, and return the zeroth prime.)

Note: At this point I have sufficient proof that our numbers must be different, since there's no representation for 0, <> must be a number other than 0.

One is represented by nothing. That is, any space in the notation is equal to any number of spaces:

<7> = < 7> = <7 > = < 7 > = < 7> = <7 > = < 7 >...

Including spaces before the < and after the >

If you used any alternative way to write in this notation for an arbitrary number of spaces, and then switched those spaces by 1s, you'd end with something like:

11<17111>1111

Which translates to:

1*1*<1*7*1*1*1>1*1*1*1 = 1*<7>*1 = 1*17*1 = 17

This means that:

<7>

Is:

1*1*1*...*1*<1*1*1*...*1*7*1*1*1*...*1>*1*1*1*...*1

For an infinite number of multiplications by 1.

In other words:

<>

Is:

1*1*1*...*1*<1*1*1*...*1>*1*1*1*...*1 = 1*<1>*1 = <1>

What is the first prime?

<> = 2

So the empty set equals 2 in this system.

Posts: 49
Joined: Thu Jun 25, 2015 10:43 am UTC

### Re: My Number Is Not Your Number!

-49

My number is negative, and Vytron's is positive. A number can't be both negative and positive at the same time. So, they must be different.
This is a signature, in case you didn't notice.

Mike Rosoft
Posts: 63
Joined: Mon Jun 15, 2009 9:56 pm UTC
Location: Prague, Czech Republic

### Re: My Number Is Not Your Number!

-ɛ={-1, -1/2, -1/4, -1/8, ...|0}.

Define:
0={|}
-1={|0}
-2={|-1}, -3={|-2}, ...
-1/2={-1|0}, -1/4={-1/2|0}, ...

Theorem: Given surreal number x={L|R} (for every l∈L, r∈R: l<r). Then x>any element of L, and x<any element of R. (Proof is left as an exercise for the reader.)

From this follows:
1) 0>-1>-2>-3>...
2) -1<-1/2<-1/4 ... <0
3) -ɛ<0
4) -1<-1/2<-1/4 ... <-ɛ<0

Therefore, -49<-ɛ.

Posts: 49
Joined: Thu Jun 25, 2015 10:43 am UTC

### Re: My Number Is Not Your Number!

e_0 (epsilon zero)

My number is a positive ordinal, and yours is negative and a surreal number. They can not be the same number.

(Sorry, I don't really understand that number of yours.)
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Vytron
Posts: 429
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### Re: My Number Is Not Your Number!

e_0 isn't a number, you have to define a function of how to collapse e_0 into a number, and you need an input.

Or you can define it as a super set of infinite sets (like, infinity is the smallest infinity, infinity*2 is the limit of increasingly bigger infinities as measured by their cardinality, infinity^2 is the limit of increasingly bigger infinities as in infinity*n, n increases as above and reaches infinity*infinity, and e_0 is the limit of infinity^infinity, infinity^infinity^infinity, infinity^infinity^infinity^infinity... where each set represents increasingly bigger sets that contains all smaller sets), and then you'd have a number bigger than infinity, but otherwise it's ambiguous.

Posts: 49
Joined: Thu Jun 25, 2015 10:43 am UTC

### Re: My Number Is Not Your Number!

Okay, it's kind of hard to understand MikeRosoft's number.

Now I get it. It's essentially an infinitesimally small negative number in a confusing format.

Okay then.

172394

This number is positive, which means it is greater than 0. 0 is greater than MikeRosoft's number, so my number must also be larger and hence different from that number.
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faubiguy
Posts: 15
Joined: Sun Aug 11, 2013 9:20 am UTC

### Re: My Number Is Not Your Number!

139

My number requires only one byte of space to represent (10001011), while yours requires over 2 bytes of space (10 10100001 01101010). Therefore my number is not your number.

Posts: 49
Joined: Thu Jun 25, 2015 10:43 am UTC

### Re: My Number Is Not Your Number!

5.6

My number is not an integer, and your number is an integer. Therefore, the numbers must be different.
This is a signature, in case you didn't notice.

Mike Rosoft
Posts: 63
Joined: Mon Jun 15, 2009 9:56 pm UTC
Location: Prague, Czech Republic

### Re: My Number Is Not Your Number!

5.5999...

This number has a different decimal expansion from the previous one, so they obviously can't be the same. [dodges]
----
For those who didn't understand the previous posts:
* Surreal numbers
* Epsilon numbers

Epsilon-zero is indeed an ordinal number; more specifically, a countable one. Every ordinal number can be represented as surreal number. (That means that we can have such surreal numbers as 1/א, where א is the cardinality of the continuum; possibly unreachable surreal numbers, and so on.)

Vytron
Posts: 429
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Location: The Outside. I use She/He/Her/His/Him as gender neutral pronouns :P

### Re: My Number Is Not Your Number!

My problem with e_0 is that you can prove e_0 isn't e_0, because any number subtracted by itself gives 0, but e_0 minus e_0 is undefined (just like e_0 minus 1 is undefined). It means a poster can post e_0 after e_0 and claim they're different because their difference isn't 0.

So, ordinal numbers aren't numbers.

...

[dodges]

Posts: 49
Joined: Thu Jun 25, 2015 10:43 am UTC

### Re: My Number Is Not Your Number!

24.53

This number has 2 digits after the decimal point, and the last number has an infinite number of digits after the decimal point. So, they must be different.
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Vytron
Posts: 429
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### Re: My Number Is Not Your Number!

That's false, 24.53 is 24.53000... which has an infinite number of digits after the decimal point. Actually:

24.52999... = 24.53

So an alternative representation of your number has an infinite number of digits after the decimal point.

They could be the same number.

Posts: 49
Joined: Thu Jun 25, 2015 10:43 am UTC

### Re: My Number Is Not Your Number!

29+38i

This number has a positive imaginary part, while the last one has a zero imaginary part, so they must be different.
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faubiguy
Posts: 15
Joined: Sun Aug 11, 2013 9:20 am UTC

### Re: My Number Is Not Your Number!

-29+38i

This number has a negative real part, while the last one has a positive real part, so they must be different.

Posts: 49
Joined: Thu Jun 25, 2015 10:43 am UTC

### Re: My Number Is Not Your Number!

-29-38i

This number has a negative imaginary part, and the last one has a positive imaginary part, so they must be different.
This is a signature, in case you didn't notice.

Mike Rosoft
Posts: 63
Joined: Mon Jun 15, 2009 9:56 pm UTC
Location: Prague, Czech Republic

### Re: My Number Is Not Your Number!

2938j

The previous number is commutative with i: (-29-38i)*i=i*(-29-38i)=38-29i
My number is anticommutative with i: 2938j*i=-2938k, but i*2938j=2938k

Posts: 49
Joined: Thu Jun 25, 2015 10:43 am UTC

### Re: My Number Is Not Your Number!

Sadly I do not understand quaternions. So:

2938

This number is a real number, but your number is not, so they must be different.
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emlightened
Posts: 42
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### Re: My Number Is Not Your Number!

2938!

This number is a product of numbers larger than 1, including 2938. Therefore, it is larger than 2938, and is not 2938.

"Therefore it is in the interests not only of public safety but also public sanity if the buttered toast on cats idea is scrapped, to be replaced by a monorail powered by cats smeared with chicken tikka masala floating above a rail made from white shag pile carpet."

flicky1991
Like in Cinderella?
Posts: 778
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### Re: My Number Is Not Your Number!

-1000000

Previous number was positive, this one is negative, therefore different.
any pronouns
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