Set Theory

Chaoslord2004 · Posted: Fri Sep 05, 2008 6:47 pm Post subject: Set Theory

Set Theory

I hope this can be a thread where meaningful discussion of Set Theory can take place.
_________________
An artist sees beauty in a painting. I see beauty in a logical proof.

"All error is due to extraneous factors, reason itself does not err"
~Kurt Gödel

abstract atheist · Posted: Fri Sep 05, 2008 7:06 pm Post subject:

I like set theory. I don't know much about it, but it has cool words like uncountably infinite. But as a theoretical physisist, I often ask myself what it's physical implications are. In particular, is it really possible to have an infinite amount of anything? I don't think so. But I guess you only want to discuss set theory from a mathematical perspective. From what I've read in analysis books, it blows my mind just to think about it.
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The world holds two classes of men - intelligent men without religion, and religious men without intelligence. - Abu’l‐Ala al Ma’arri
Give a man a fish and he will eat for a day; teach a man to fish and he will eat for a lifetime; give a man religion and he will die praying for a fish.
Father: Son, I don't want you hanging around Steve any more, I think he might be gay.
Son: He better be gay, he's my boyfriend.

Chaoslord2004 · Posted: Fri Sep 05, 2008 7:16 pm Post subject:

abstract atheist · Posted: Fri Sep 05, 2008 8:12 pm Post subject:

Here is something that has always bothered me. Consider these three sets:
1.) The Cantor set
2.) the interval (0,1) of the real line
3.) the real line
All 3 of those sets have the same cardnality, but one has a length of zero, one has length of 1, and one has length of infinity. Ahhhhhhhhhhh!!! It reminds me of the following conversation.
MIRANDA: How much do you love me?
DEREK: This much *holds thumb and index finger up, separated by about 1 inch*
MIRANDA: That's not very much.
DEREK: There's an infinite number of points between these fingers, and room enough to fit the sun.
_________________
The world holds two classes of men - intelligent men without religion, and religious men without intelligence. - Abu’l‐Ala al Ma’arri
Give a man a fish and he will eat for a day; teach a man to fish and he will eat for a lifetime; give a man religion and he will die praying for a fish.
Father: Son, I don't want you hanging around Steve any more, I think he might be gay.
Son: He better be gay, he's my boyfriend.

Chaoslord2004 · Posted: Fri Sep 05, 2008 8:14 pm Post subject:

abstract atheist · Posted: Sat Sep 06, 2008 11:14 pm Post subject: Re: Set Theory

Chaoslord2004 · Posted: Sat Sep 06, 2008 11:20 pm Post subject: Re: Set Theory

abstract atheist · Posted: Sat Sep 06, 2008 11:50 pm Post subject:

Chaos, I would like to ask you a question. When theists are confronted with the logical paradoxes of their beliefs, they often say stuff like, God doesn't have to obey logic, or there is a higher realm of logic where all this theistic stuff makes sense. What do you make of that? I always thought inconsistency = does not exist, but can inconsistent things exist?
_________________
The world holds two classes of men - intelligent men without religion, and religious men without intelligence. - Abu’l‐Ala al Ma’arri
Give a man a fish and he will eat for a day; teach a man to fish and he will eat for a lifetime; give a man religion and he will die praying for a fish.
Father: Son, I don't want you hanging around Steve any more, I think he might be gay.
Son: He better be gay, he's my boyfriend.

Chaoslord2004 · Posted: Sun Sep 07, 2008 9:06 am Post subject:

Philosophos · Posted: Sun Sep 07, 2008 11:06 am Post subject:

Chaoslord2004 · Posted: Sun Sep 07, 2008 11:28 am Post subject:

HxC · w00t Joined: 02 Jun 2008 Posts: 991 Local time: 8:49 AM

i wish i could understand one of the things chaoslord posts... Sad

they seem like cool discussions
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there's a reason christians are called "sheep"

Chaoslord2004 · Posted: Sun Sep 07, 2008 11:32 pm Post subject:

HxC · w00t Joined: 02 Jun 2008 Posts: 991 Local time: 8:49 AM

yeah, i don't pretend to understand them, cause i know i'll get it wrong haha

is there any way to dumb these things down or use an analogy or something?
_________________
there's a reason christians are called "sheep"

josephpalazzo · Posted: Mon Sep 08, 2008 7:07 am Post subject:

Logicians are people who make a mountain out of a molehill from such statements as: this sentence is false.

Twisted Evil

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