[OOC] Myriad Reality

[whizzball1]

<Snipped quote by whizzball1>

That situation could be applied in a more mathematical way. That's not realistic.

@Host

It's not supposed to be realistic. It's just a paradox, something for mathematicians to think about. The maths book gives the question because it wants the reader to stop and think for a while about it. Although I suppose it can be expressed more mathematically.

Consider a function f:N->N where the domain and codomain are the natural numbers, and each element in the domain is mapped to itself in the codomain. Is there a way to map the infinite elements of each of a group of infinite sets to the elements in the codomain, in addition to mapping those in the original domain, in a 1-1 manner?

[Host]

<Snipped quote by Host>

It's not supposed to be realistic. It's just a paradox, something for mathematicians to think about. The maths book gives the question because it wants the reader to stop and think for a while about it. Although I suppose it can be expressed more mathematically.

Consider a function f:N->N where the domain and codomain are the natural numbers, and each element in the domain is mapped to itself in the codomain. Is there a way to map the infinite elements of each of a group of infinite sets to the elements in the codomain, in addition to mapping those in the original domain, in a 1-1 manner?

@whizzball1

What's the point of puzzles if they realistically make no sense on a deeper level?

[whizzball1]

<Snipped quote by whizzball1>

What's the point of puzzles if they realistically make no sense on a deeper level?

@Host

The point is to think about them, and improve yourself figuring them out. At least, that was my goal in solving that puzzle. I'm a better thinker for it. Although, according to the Wikipedia page, the point of the paradox was "to illustrate certain counterintuitive properties of infinite sets." Namely, that even all of infinity was filled, you could still fit in another element, or you could fit in infinite new elements, or you could even add infinite groups of infinite elements, and mathematically it would actually work (with empty elements left over!).

[Host]

<Snipped quote by Host>

The point is to think about them, and improve yourself figuring them out. At least, that was my goal in solving that puzzle. I'm a better thinker for it. Although, according to the Wikipedia page, the point of the paradox was "to illustrate certain counterintuitive properties of infinite sets." Namely, that even all of infinity was filled, you could still fit in another element, or you could fit in infinite new elements, or you could even add infinite groups of infinite elements, and mathematically it would actually work (with empty elements left over!).

@whizzball1

That's not even a puzzle. That's a mathematical system problem with fluff all around it.

[whizzball1]

<Snipped quote by whizzball1>

That's not even a puzzle. That's a mathematical system problem with fluff all around it.

@Host

Darn it, it's just something to think about and solve! It doesn't have to have a deeper philosophical meaning or be something you can do in the real world!

[Host]

<Snipped quote by Host>

Darn it, it's just something to think about and solve! It doesn't have to have a deeper philosophical meaning or be something you can do in the real world!

@whizzball1

Then they should remove the fluff!!

[whizzball1]

<Snipped quote by whizzball1>

Then they should remove the fluff!!

@Host

What fluff? It's easier to think about if it's expressed in real life terms. The mathematical expression I gave is too confusing and doesn't impart the true nature of the paradox.

[Host]

<Snipped quote by Host>

What fluff? It's easier to think about if it's expressed in real life terms. The mathematical expression I gave is too confusing and doesn't impart the true nature of the paradox.

@whizzball1

But it does. The entire situation could be abbreviated into a few math terms.

[whizzball1]

<Snipped quote by whizzball1>

But it does. The entire situation could be abbreviated into a few math terms.

@Host

Maybe it does to you. But if I had received the paradox like that, it would have taken me considerably longer to figure it out. However, the idea that there's a hotel with an infinite number of rooms and all of them are filled is much easier to chew on than a function is, at least once you get into trying to add people to the hotel in infinite quantities.

[Host]

<Snipped quote by Host>

Maybe it does to you. But if I had received the paradox like that, it would have taken me considerably longer to figure it out. However, the idea that there's a hotel with an infinite number of rooms and all of them are filled is much easier to chew on than a function is, at least once you get into trying to add people to the hotel in infinite quantities.

@whizzball1

The question makes no sense to me as a hotel question.

[User]

How on earth do you all rp in this?

[whizzball1]

How on earth do you all rp in this?

@User

How do you mean?

<Snipped quote by whizzball1>

The question makes no sense to me as a hotel question.

@Host

Well, some people understand things more easily with different ways. The hotel analogy makes it easier for me; the mathematical expression makes it easier for you.

[Host]

How on earth do you all rp in this?

@User

Mutual friendship, trust, understanding, etc.

<Snipped quote by User>

How do you mean?

<Snipped quote by Host>

Well, some people understand things more easily with different ways. The hotel analogy makes it easier for me; the mathematical expression makes it easier for you.

@whizzball1

Raw math for the win.

[whizzball1]

<Snipped quote by User>

Mutual friendship, trust, understanding, etc.

<Snipped quote by whizzball1>

Raw math for the win.

@Host

I suppose. But sometimes I like analogies better.

[Host]

<Snipped quote by Host>

I suppose. But sometimes I like analogies better.

@whizzball1

I like them in English and logic.

[User]

What I mean is, right you rp like this: HI, How are you.

Look at anything else on this site. No one jus says stuff and does *Action* You are crazy...

[United]

Hey, is this still open? I wanna join :D

[User]

Run, they are insane in how they rp. They got rid of a GM by force over his religious belifes

[whizzball1]

<Snipped quote by whizzball1>

I like them in English and logic.

@Host

It helps. Anyway, I'm almost finished with my study on functions. Although for some reason my book hasn't yet told me how to determine inverse functions. It only told me what they were. I found out how to determine them on my own. Soon I'll be doing partial fractions, whoo!

[Zeal]

Run, they are insane in how they rp. They got rid of a GM by force over his religious belifes

@User

He wasn't a GM. No one is a GM here.