What is this now? A battle field for numbers??? If that’s the case, I will throw my salvo, too, then!
Nandemonai: I have a minor in math, too, but, it only looks good in paper. I once asked my math instructor (as later to my physics instructor instructor, later), to prove me that 1 + 1 = 2. And, no, you won’t be able to prove it, as, to begin with, it is not even in the books. All math has worked over that assumption, and we assume it is true.
Was your math professor a Discrete Mathematics professor?
I will attempt to prove that 1+1=2 with math induction. I didn’t invent this, some other crazy math whiz did.
The problem is, depending on how complex the number system assigned, the proof gets more complicated. That is why with real numbers it cannot be proven effectively.
You also have to assume that the addition procedure works the way it does, the proper way to prove the addition procedure would be to prove it equal to some other easily defined term (such as binary addition, an even simpler form of addition) and then show it equal in all cases, which I think is possible but is beyond my scope and knowledge of math. You asked me to prove 1 + 1 = 2, not the addition procedure so…
Anyways, Let us assume that 1+1=2, in the universe of discourse of all whole numbers, 1 to infinite is true.
To prove this right, I need to prove this for all possible cases. The problem is, there is an infinite number of possible cases where 1 thing gets added to one of another. The logical contrapositive equivalent is ~2= ~(1 + 1)
This is easier to prove, not by much, since it’s still infinite, but it can be done.
If any number but two will not be 1 + 1
Base Case:
1 = 1 + 0, which is not 1 + 1, check
3 = 1 + 1 + 1, which is not 1 + 1 check.
Let N be a number greater than 2 within the universe of discourse.
Let N’s base be the number 3
I’ve already shown the base case to be true,
so N = 1 + 1 + 1
So we know from the addition procedure that 3 = 1 + 1 + 1.
Now take the statement N + 1 = 1 + 1 + 1 + 1
If we subtract 1 from both sides we get N = 1 + 1 + 1, our base step.
In other words, If N is true, N + 1 is ALSO true. This is the inductive step.
Thus any whole number from 3 all the way to infinite will NOT be 1 + 1.
The contrapositive is always true, thus the statement 1 + 1 is always true.
Something like that. The whole proof would be some long drawn out thing…like this wasn’t drawn out enough.
Lamuness, you freaked out yet?
I just wanted to share the pain and suffering of studying proofs that I’ve been doing all week to the others.
quote:
Originally posted by Nobody:
And ... head. If you were able to follow what I was saying, I'll have to try harder next time. [img]http://princess.cybrmall.net/ubb/tongue.gif[/img]
Then try again. I think, I'm thinking, therefore, I may exist... Why assume the own existence as a sure thing, anyway?
Oh, by the way, has the CD already reached state boundaries (if they and the CD actually exists, that is...)? [img]http://princess.cybrmall.net/ubb/tongue.gif[/img]
quote:
Originally posted by Nobody:
*starts running around like a decapitated chicken*Ohmygodohmygodohmygod.... [img]http://princess.cybrmall.net/ubb/eek.gif[/img]
Tsssss.
How long would such a chicken run around?
And, of cause, if has to be " Ohmygoddessohmygoddessohmygoddess.... [img]http://princess.cybrmall.net/ubb/eek.gif[/img] "
[This message has been edited by Unicorn (edited 08-07-2002).]
quote:So, is still Kumiko-chan a bishoujo Goddess or not? ^_^
Originally posted by Nobody:
(...)
Well, I've done my best to mess with everyone's head. If you were able to follow what I was saying, I'll have to try harder next time. [img]http://princess.cybrmall.net/ubb/tongue.gif[/img]
quote:
Originally posted by olf_le_fol:
So, is still Kumiko-chan a bishoujo Goddess or not? ^_^
Of cause, Kumiko-sama is still a bishoujo-goddess! Even if there are more heretics who would not commit themselves to this.
[This message has been edited by Unicorn (edited 08-07-2002).]
quote:
Originally posted by Nobody:
That way, I'll be the Nugget Fairy and the Harbinger of Snacks to a bishoujo goddess. [img]http://princess.cybrmall.net/ubb/tongue.gif[/img]
... and, of cause, this way it would be a lot easier to get a ... you know what, from your personal bishoujo-goddess...
No! I think, a dog disqualifies as a bishoujo-goddess. At least, I will definitely not believe in Peaches! What kinds of religious posts would she make?
Wooof-grrrr-waff? [img]http://princess.cybrmall.net/ubb/tongue.gif[/img]
quote:
Originally posted by Nobody:
*cowers in corner and throws blanket over head*Noonecanseemenoonecanseemenoonecanseeme....
Hey, minna-san!
There's a trembling blanket in the corner.
Hmmm. *Takes blanket*
Strange, there was some movement before, but after I took it up, I see Nobody... [img]http://princess.cybrmall.net/ubb/wink.gif[/img]
[This message has been edited by Unicorn (edited 08-07-2002).]
quote:
Originally posted by scuddman:
Your math doesn't make any sense ...
You yourself contradicted your own math.
You're missing my point. False implies anything in the world of mathematical logic; I'm simply saying that 2+2=5 is a false statement. Of course you will reach nonsense conclusions if you assume false things are true and then make inferences.
quote:
Originally posted by scuddman:
Your math doesn't make any sense.
Also I think you missed the original context of the discussion. We were discussing a particular plot premise for stories where what people believe _defines_ reality. I argued that this was dangerous and wouldn't work, and raised as an example "well, what if you convinced people that 2+2 = 5"? and came to the conclusion that if you actually did it, you would destroy the universe (which would become paradoxically defined).
I know, but you brought up math, and I’ve been studying it like crazy, and I hate it, and I want you to hate it, and hate it, and hate it…and hate it…and…and
I’m okay now. The exam is over.
apologizes to the board for geeking out so terribly
Gomennasai!Gomennasai!Gomennasai!
::looks at nobody in the corner and cackles gleefully:: the goddess has noticed you…now what should she do? sorry, running around like a decapitated chicken would grab ANY goddess’s attention
Good Lord, err Goddess, What kind of conversation is going on here. Man my head hurts from just reading through that.
Yes. I think, our dear SB will be really proud of us, when he returns from Gotland tomorrow.
I mean: This thread was originally started with a question about the line-breaking in textboxes and then went over to the revealing of Kumiko-samas true nature and finally turned into a philosophical discussion about existencialism, math and the nature of goddesses.
Of all the run-off-topic-threads, this one really deserves to be put into a golden frame…
[This message has been edited by Unicorn (edited 08-09-2002).]
quote:
Originally posted by Nobody:
[img]http://www.uniquehardware.co.uk/server-smilies/contrib/edoom/samurai.gif[/img]No one messes with my dog! [img]http://princess.cybrmall.net/ubb/tongue.gif[/img]
Ouch!
Didn't you mean: Nobody messes with your dog? [img]http://princess.cybrmall.net/ubb/tongue.gif[/img]
you guys are all nuts…totally completely bonkers…even i can’t follow this thread anymore i’m lost
quote:
Originally posted by ladyphoenix:
you guys are all nuts....totally completely bonkers....even i can't follow this thread anymore [img]http://princess.cybrmall.net/ubb/smile.gif[/img] i'm lost
So, you would agree, Spectator-san will be proud of us all, right?
By the way: One of my favourite sayings is: If you can not convice 'em, confuse 'em!
quote:
Originally posted by Unicorn:
Yes. I think, our dear SB will be really proud of us, when he returns from Gotland tomorrow. [img]http://princess.cybrmall.net/ubb/tongue.gif[/img]I mean: This thread was originally started with a question about the line-breaking in textboxes and then went over to the revealing of Kumiko-samas true nature and finally turned into a philosophical discussion about existencialism, math and the nature of goddesses. [img]http://princess.cybrmall.net/ubb/wink.gif[/img]
Of all the run-off-topic-threads, this one really deserves to be put into a golden frame... [img]http://princess.cybrmall.net/ubb/biggrin.gif[/img]
[This message has been edited by Unicorn (edited 08-09-2002).]
No. Someone needs to mention lesbian strippers and THEN the thread will be the King of off-topic threads.