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Source: (consider it)
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Thread: Justinian dishes it out can't take it
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IngoB
Sentire cum Ecclesia
# 8700
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Posted
quote:
Originally posted by Justinian:
You can take literally anything as a premise whether or not it is true (mathematicians do frequently - including at least one entire branch of maths starting with the idea that 1+1=1).
Truth in mathematics just is to be in accord with the chosen axioms. That is technically different from truth in most other contexts, which is judged according to reality, i.e., by the correspondence of the concept to the world as we actually find it. In this sense, mathematics is closer to writing fiction than to say physics.
Consequently, an axiom in mathematics can only be incompatible / incoherent with other chosen axioms (so that a contradictions arises between them, possibly after many intermediate derivations). Whereas an axiom in most other contexts can be just plain old false by and in itself, namely as not corresponding to reality. You cannot take literally anything as a premise, if you want to have a shot at saying true things about the world. (And you cannot take literally anything as a premise in mathematics either - practicality speaking - unless you want to say "well, that clearly doesn't work out" a lot...)
Also, pray tell what branch of mathematics starts with 1+1=1?
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They’ll have me whipp’d for speaking true; thou’lt have me whipp’d for lying; and sometimes I am whipp’d for holding my peace. - The Fool in King Lear
Posts: 12010 | From: Gone fishing | Registered: Oct 2004
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Matt Black
Shipmate
# 2210
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Posted
quote:
Originally posted by Sioni Sais:
Eight fucking links, none of which are from the caller. ![[Disappointed]](graemlins/disappointed.gif)
Well, ain't it your fucking day?
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"Protestant and Reformed, according to the Tradition of the ancient Catholic Church" - + John Cosin (1594-1672)
Posts: 14304 | From: Hampshire, UK | Registered: Jan 2002
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Justinian
Shipmate
# 5357
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Posted
quote:
Originally posted by IngoB:
quote:
Originally posted by Justinian:
You can take literally anything as a premise whether or not it is true (mathematicians do frequently - including at least one entire branch of maths starting with the idea that 1+1=1).
Truth in mathematics just is to be in accord with the chosen axioms. That is technically different from truth in most other contexts, which is judged according to reality, i.e., by the correspondence of the concept to the world as we actually find it. In this sense, mathematics is closer to writing fiction than to say physics. Consequently, an axiom in mathematics can only be incompatible / incoherent with other chosen axioms (so that a contradictions arises between them, possibly after many intermediate derivations). Whereas an axiom in most other contexts can be just plain old false by and in itself, namely as not corresponding to reality. You cannot take literally anything as a premise, if you want to have a shot at saying true things about the world. (And you cannot take literally anything as a premise in mathematics either - practicality speaking - unless you want to say "well, that clearly doesn't work out" a lot...)
All absolutely on the nail.
quote:
Also, pray tell what branch of mathematics starts with 1+1=1?
It ends up as congruent with transfinite arithmetic.
Aleph X + Aleph X = Aleph X
Aleph X * Aleph X = Aleph X
Aleph X - Aleph X = ?????
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My real name consists of just four letters, but in billions of combinations.
Eudaimonaic Laughter - my blog.
Posts: 3926 | From: The Sea Coast of Bohemia | Registered: Dec 2003
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itsarumdo
Shipmate
# 18174
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Posted
Talking of belief - I find it hard to believe that the mathematics of supra-infinite sets is of any use whatsoever. Even infinite sets are only of use in that they remove the necessity for a "real" outer boundary condition. But then - my interest in (and knowledge of) maths is very applied.
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"Iti sapis potanda tinone" Lycophron
Posts: 994 | From: Planet Zog | Registered: Jul 2014
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Evensong
Shipmate
# 14696
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Posted
I'm still trying to get my head around the idea of starting with ontology or starting with epistemology and whether or not there's a difference........
So many ologies, so little time.
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a theological scrapbook
Posts: 9481 | From: Australia | Registered: Apr 2009
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Dafyd
Shipmate
# 5549
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Posted
quote:
Originally posted by orfeo:
I just stopped caring because I knew you'd be arguing about it with people for days.
I really should have known better, shouldn't I?
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we remain, thanks to original sin, much in love with talking about, rather than with, one another. Rowan Williams
Posts: 10567 | From: Edinburgh | Registered: Feb 2004
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Evensong
Shipmate
# 14696
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Posted
Yes.
These sorts of discussions are useful up to a point, but after that point, it is an exercise in futility and simply becomes masochism.
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a theological scrapbook
Posts: 9481 | From: Australia | Registered: Apr 2009
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Evensong
Shipmate
# 14696
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Posted
I think I gave up when Justinian didn't answer my question about why the existence of God was a false premise.
Then SusanDories joined in and I knew the thread was a lost cause.
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a theological scrapbook
Posts: 9481 | From: Australia | Registered: Apr 2009
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IngoB
Sentire cum Ecclesia
# 8700
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Posted
quote:
Originally posted by Justinian:
It ends up as congruent with transfinite arithmetic.
You cannot just make "1" stand for "Aleph_1", because "1" is the standard notation for the multiplicative identity. And the multiplicative identity of cardinal arithmetic is the "normal" number 1. Hence 1+1=2, as per usual, and Aleph_1+Aleph_1=Aleph_1.
(Or so vague memory suggests, it has been close to two decades since I last had to construct mathematical proofs about arithmetics...)
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They’ll have me whipp’d for speaking true; thou’lt have me whipp’d for lying; and sometimes I am whipp’d for holding my peace. - The Fool in King Lear
Posts: 12010 | From: Gone fishing | Registered: Oct 2004
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IngoB
Sentire cum Ecclesia
# 8700
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Posted
quote:
Originally posted by Evensong:
Then SusanDories joined in and I knew the thread was a lost cause.
SusanDoris is obviously a long-term project by some smart aleck Christian to prove practically that atheism is a faith position. I think eventually we will end up with this scenario:
quote:
Atheist: Atheism is not a belief, it is just an absence of belief.
Believer: SusanDoris.
Atheist: But, but, ... OK, you win.
I think whoever is SusanDoris, be it one or many, is doing a fine job. And I suspect they do this at rather high operating costs: all those botox injections just to keep a straight face...
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They’ll have me whipp’d for speaking true; thou’lt have me whipp’d for lying; and sometimes I am whipp’d for holding my peace. - The Fool in King Lear
Posts: 12010 | From: Gone fishing | Registered: Oct 2004
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Justinian
Shipmate
# 5357
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Posted
@Evensong, replying to you has very seldom gone anywhere useful.
quote:
Originally posted by IngoB:
quote:
Originally posted by Justinian:
It ends up as congruent with transfinite arithmetic.
You cannot just make "1" stand for "Aleph_1", because "1" is the standard notation for the multiplicative identity. And the multiplicative identity of cardinal arithmetic is the "normal" number 1. Hence 1+1=2, as per usual, and Aleph_1+Aleph_1=Aleph_1.
(Or so vague memory suggests, it has been close to two decades since I last had to construct mathematical proofs about arithmetics...)
OK. Time to derail this thread with mathematics.
1 is the standard notation for the multiplicative identity.
0 is the standard notation for the additive identity.
1+1=1 is another way of saying that the additive identity is the multiplicative identity. Which, of course, leads to weird results. If you apply it to Ring Theory you get the zero ring. Which ... isn't terribly interesting.
If you define Aleph Null as the number of integers then it is both its own additive and multiplicative identity - and you can't use it in ordinary arithmetic for very well known reasons. (And Integer 0 times Aleph Null is of course undefined). Which means that everything you discovered from defining 1+1=1 can immediately be brought into transfinite mathematics.
Transfinite mathematics on the other hand is slightly more interesting than The Zero Ring because we have extra rules we can bring in from the mapping to regular arithmetic. We can prove that there is more than one entity in the set of transfinite numbers through one of Cantor's Diagonal Proofs. But only slightly. If X+X=X and X*X=X then there really isn't a hell of a lot we can do with X - hence the Zero Ring. We can demonstrate that 2^X > X. And therefore the set contains more than one element (unlike The Zero Ring). We also have X+Y=Y+X and if X>Y X+Y=X (and corresponding multiplicative results).
The Zero Ring is a dead end. Transfinite mathematics using The Zero Ring also turns out to be a dead end so far as anyone has discovered, although it's a slightly more interesting one - although mostly conceptually rather than practically.
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My real name consists of just four letters, but in billions of combinations.
Eudaimonaic Laughter - my blog.
Posts: 3926 | From: The Sea Coast of Bohemia | Registered: Dec 2003
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Sioni Sais
Shipmate
# 5713
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Posted
Talking of dead ends .....
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"He isn't Doctor Who, he's The Doctor"
(Paul Sinha, BBC)
Posts: 24276 | From: Newport, Wales | Registered: Apr 2004
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LeRoc
Famous Dutch pirate
# 3216
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Posted
quote:
orfeo: Oh for fuck's sake, Justinian. It took 5 seconds to work out that you'd completely distorted the purpose of Ingo's "ships" analogy on that thread, and after that I just stopped caring because I knew you'd be arguing about it with people for days.
I abandoned the thread soon after on the grounds that I have enough masochism in my life already.
He seriously fucked up the penis cake argument too. And he just goes on and on ...
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I know why God made the rhinoceros, it's because He couldn't see the rhinoceros, so He made the rhinoceros to be able to see it. (Clarice Lispector)
Posts: 9474 | From: Brazil / Africa | Registered: Aug 2002
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orfeo
Ship's Musical Counterpoint
# 13878
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Posted
I learnt about rings in National Maths Summer School over 20 years ago. I enjoyed National Maths Summer School. It had great lecturers. The last thing I need is some pathetic rambler ruining my fond memories of National Maths Summer School by associating himself in my mind with rings.
If you start discussing the square root of -1 I will have to kill you.
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Technology has brought us all closer together. Turns out a lot of the people you meet as a result are complete idiots.
Posts: 18173 | From: Under | Registered: Jul 2008
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Dark Knight
Super Zero
# 9415
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Posted
quote:
Originally posted by Dark Knight:
Yep, there's that "if I keep talking, maybe people will think I'm actually right, even though I'm completely wrong" approach.
Now supplemented with the subtly different "If I start talking about other stuff, maybe people will forget how wrong I was in the first place" approach.
Admittedly, it could be the "If I keep talking, perhaps people will start to agree with me, or do anything I want, in order to get me to shut the fuck up" approach.
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So don't ever call me lucky
You don't know what I done, what it was, who I lost, or what it cost me - A B Original: I C U
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Love is as strong as death (Song of Solomon 8:6).
Posts: 2958 | From: Beyond the Yellow Brick Road | Registered: Apr 2005
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Justinian
Shipmate
# 5357
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Posted
quote:
Originally posted by Dark Knight:
quote:
Originally posted by Dark Knight:
Yep, there's that "if I keep talking, maybe people will think I'm actually right, even though I'm completely wrong" approach.
Now supplemented with the subtly different "If I start talking about other stuff, maybe people will forget how wrong I was in the first place" approach.
I've demonstrated exactly how badly you fail at understanding what you are trying to claim. I've demonstrated Dafyd's mendacity. I've finally understood the well of misunderstanding that your attempts to claim victory by contemplating your own navel were coming from.
But feel free to invent your own reality the way you have your own logic. I know on this thread I'm boring dilettantes rigid. And apologise to the Hell Hosts for having to read what must be one of the most tedious hell threads ever given its length.
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My real name consists of just four letters, but in billions of combinations.
Eudaimonaic Laughter - my blog.
Posts: 3926 | From: The Sea Coast of Bohemia | Registered: Dec 2003
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Jack o' the Green
Shipmate
# 11091
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Posted
quote:
Originally posted by orfeo:
If you start discussing the square root of -1 I will have to kill you.
Wow! Imagine that.
Posts: 3121 | From: Lancashire, England | Registered: Feb 2006
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Kelly Alves
Bunny with an axe
# 2522
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Posted
Math geek outrage is sexy as hell.
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I cannot expect people to believe “
Jesus loves me, this I know” of they don’t believe “Kelly loves me, this I know.”
Kelly Alves, somewhere around 2003.
Posts: 35076 | From: Pura Californiana | Registered: Mar 2002
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Jack o' the Green
Shipmate
# 11091
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Posted
quote:
Originally posted by Gwai:
quote:
Originally posted by Jack o' the Green:
quote:
Originally posted by orfeo:
If you start discussing the square root of -1 I will have to kill you.
Wow! Imagine that.
You beat me to it. I had just come here to ask if he was for real.
I suspect the answer to that is rather complex.
Posts: 3121 | From: Lancashire, England | Registered: Feb 2006
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Ariston
Insane Unicorn
# 10894
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Posted
Where's a certain Circus host when we need him?
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“Therefore, let it be explained that nowhere are the proprieties quite so strictly enforced as in men’s colleges that invite young women guests, especially over-night visitors in the fraternity houses.” Emily Post, 1937.
Posts: 6849 | From: The People's Republic of Balcones | Registered: Jan 2006
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Doublethink.
Ship's Foolwise Unperson
# 1984
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Posted
Who you calling 'him' ?
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All political thinking for years past has been vitiated in the same way. People can foresee the future only when it coincides with their own wishes, and the most grossly obvious facts can be ignored when they are unwelcome. George Orwell
Posts: 19219 | From: Erehwon | Registered: Aug 2005
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orfeo
Ship's Musical Counterpoint
# 13878
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Posted
quote:
Originally posted by Justinian:
I've demonstrated exactly how badly you fail at understanding what you are trying to claim. I've demonstrated Dafyd's mendacity.
To how many people, would you estimate?
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Technology has brought us all closer together. Turns out a lot of the people you meet as a result are complete idiots.
Posts: 18173 | From: Under | Registered: Jul 2008
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Kelly Alves
Bunny with an axe
# 2522
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Posted
Holy fuck, you are never going convince me Dafyd is mendacious. I really don't give a damn if he is right or wrong, but boy, is that off the mark.
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I cannot expect people to believe “
Jesus loves me, this I know” of they don’t believe “Kelly loves me, this I know.”
Kelly Alves, somewhere around 2003.
Posts: 35076 | From: Pura Californiana | Registered: Mar 2002
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Dark Knight
Super Zero
# 9415
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Posted
quote:
Originally posted by orfeo:
quote:
Originally posted by Justinian:
I've demonstrated exactly how badly you fail at understanding what you are trying to claim. I've demonstrated Dafyd's mendacity.
To how many people, would you estimate?
Just the one. Jussy, of course.
Jussy is delusional. He/she still thinks he/she is misunderstood. No matter how many other people assure Jussy otherwise.
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So don't ever call me lucky
You don't know what I done, what it was, who I lost, or what it cost me - A B Original: I C U
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Love is as strong as death (Song of Solomon 8:6).
Posts: 2958 | From: Beyond the Yellow Brick Road | Registered: Apr 2005
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Dark Knight
Super Zero
# 9415
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Posted
I am starting to wonder what "demonstrate" means to Jussy. To me, it usually means something along the lines of supporting or proving a statement through reasoning or evidence.
For Jussy, perhaps it means talking on and on until everyone else reading or listening wishes they were dead.
No doubt, Jussy will be along soon with a link to a definition of "demonstrate," followed by an incomprehensible explanation of how the way Jussy is using it is actually totally correct, contrary to everyone else reading along.
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So don't ever call me lucky
You don't know what I done, what it was, who I lost, or what it cost me - A B Original: I C U
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Love is as strong as death (Song of Solomon 8:6).
Posts: 2958 | From: Beyond the Yellow Brick Road | Registered: Apr 2005
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Ricardus
Shipmate
# 8757
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Posted
quote:
Originally posted by orfeo:
quote:
Originally posted by Justinian:
I've demonstrated exactly how badly you fail at understanding what you are trying to claim. I've demonstrated Dafyd's mendacity.
To how many people, would you estimate?
Oh, it's easily proven.
Dafyd is intelligent.
Intelligent people agree with Justinian.
Therefore Dafyd must secretly agree with Justinian, and be pretending not to for some nefarious purpose of his own.
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Then the dog ran before, and coming as if he had brought the news, shewed his joy by his fawning and wagging his tail. -- Tobit 11:9 (Douai-Rheims)
Posts: 7247 | From: Liverpool, UK | Registered: Nov 2004
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Figbash
The Doubtful Guest
# 9048
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Posted
quote:
Originally posted by Justinian:
The Zero Ring is a dead end. Transfinite mathematics using The Zero Ring also turns out to be a dead end so far as anyone has discovered, although it's a slightly more interesting one - although mostly conceptually rather than practically.
Briefly, but I hope not too painfully for those cursed with amathematica, the significant error you are making is this. You assume that the arithmetic of transfinite cardinals obeys the ring axioms. It does not: additive inverses are never defined, so the additive sector is a semigroup. Therefore there is no ring. Therefore your analogy with ring theory is false.
A more elementary argument is: clearly 0 is a cardinal, and so, if cardinals did form a ring as you describe, 0 would be the unique additive identity. Therefore, as \aleph_0 is not equal to zero (due to being transfinite) it cannot act as an additive identity. Contradiction.
I am somewhat stunned that you are seriously making such an obviously nonsensical argument.
Posts: 1209 | From: Gashlycrumb | Registered: Feb 2005
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Justinian
Shipmate
# 5357
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Posted
quote:
Originally posted by Kelly Alves:
Holy fuck, you are never going convince me Dafyd is mendacious. I really don't give a damn if he is right or wrong, but boy, is that off the mark.
Dafyd claimed I believed something I don't. When I pointed out I don't he decided to claim that because SusanDoris had said something I must believe it and have said it. This has been linked. It wasn't quite a lie - he actually attributed SusanDoris' post to her and yet somehow decided I believed it.
Even his opening post is bullshit - and he's far too smart to not know the difference between "To which Justinian complains that I'm claiming he believes B. " and my actual position that A is the reason we can utterly reject B out of hand.
He's erudite and he's subtle. It's only when he's arguing with atheists I see mendacity from him - but this isn't the first time. Whether it's arguing with me or in the past misrepresenting Dawkins (of which there is admittedly a cottage industry among Christians).
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My real name consists of just four letters, but in billions of combinations.
Eudaimonaic Laughter - my blog.
Posts: 3926 | From: The Sea Coast of Bohemia | Registered: Dec 2003
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Ricardus
Shipmate
# 8757
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Posted
quote:
Originally posted by Justinian;
He's erudite and he's subtle. It's only when he's arguing with atheists I see mendacity from him
Probably because on most other matters (e.g. The shortcomings of right-wing politics) you either agree with him or haven't strongly identified yourself with a stance.
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Then the dog ran before, and coming as if he had brought the news, shewed his joy by his fawning and wagging his tail. -- Tobit 11:9 (Douai-Rheims)
Posts: 7247 | From: Liverpool, UK | Registered: Nov 2004
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Dafyd
Shipmate
# 5549
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Posted
quote:
Originally posted by Justinian:
Dafyd claimed I believed something I don't.
There is a figure of speech called irony. It is not the same as lying.
Croesos does it all the time. Of course, Croesos is as annoying as a wasp in a portaloo and half the time Croesos does actually cross over into straw mannery. So you may have something of a point. But right now I'm not disposed to give myself anything other than the benefit of the doubt.
quote:
When I pointed out I don't he decided to claim that because SusanDoris had said something I must believe it and have said it.
This is a complete and perverse misreading. Saying the same thing as SusanDoris (or LeRoc or IngoB) is not the same as talking about the same thing as talking about the same thing as SusanDoris and LeRoc and IngoB.
quote:
It's only when he's arguing with atheists I see mendacity from him
You're really not able to listen to yourself, are you?
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we remain, thanks to original sin, much in love with talking about, rather than with, one another. Rowan Williams
Posts: 10567 | From: Edinburgh | Registered: Feb 2004
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Kelly Alves
Bunny with an axe
# 2522
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Posted
Since this is Hell, I can observe that Justinian comes off like he is backed into a corner and chucking tomatoes at whoever comes too close.
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I cannot expect people to believe “
Jesus loves me, this I know” of they don’t believe “Kelly loves me, this I know.”
Kelly Alves, somewhere around 2003.
Posts: 35076 | From: Pura Californiana | Registered: Mar 2002
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Dark Knight
Super Zero
# 9415
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Posted
... but has really bad aim?
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So don't ever call me lucky
You don't know what I done, what it was, who I lost, or what it cost me - A B Original: I C U
----
Love is as strong as death (Song of Solomon 8:6).
Posts: 2958 | From: Beyond the Yellow Brick Road | Registered: Apr 2005
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mousethief
Ship's Thieving Rodent
# 953
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Posted
quote:
Originally posted by itsarumdo:
Talking of belief - I find it hard to believe that the mathematics of supra-infinite sets is of any use whatsoever.
That's what they said about imaginary numbers, until physicists found a use for them in describing electromagnetic fields. I would be very careful about writing off some part of mathematics as useless. It's the sort of ignorant judgment that has a way of coming back to bite you in the arse.
quote:
Originally posted by Kelly Alves:
Holy fuck, you are never going convince me Dafyd is mendacious. I really don't give a damn if he is right or wrong, but boy, is that off the mark.
Thank you. This saves me the trouble of trying to think up a way to say this.
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This is the last sig I'll ever write for you...
Posts: 63536 | From: Washington | Registered: Jul 2001
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Wood
The Milkman of Human Kindness
# 7
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Posted
Wow. I knew I was right to bail from that thread.
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Narcissism.
Posts: 7842 | From: Wood Towers | Registered: Apr 2001
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Wood
The Milkman of Human Kindness
# 7
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Posted
To be honest though, the moment the guy went "Show me an empirical way to demonstrate God" I knew the thread was a wash.
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Narcissism.
Posts: 7842 | From: Wood Towers | Registered: Apr 2001
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Sioni Sais
Shipmate
# 5713
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Posted
quote:
Originally posted by Wood:
To be honest though, the moment the guy went "Show me an empirical way to demonstrate God" I knew the thread was a wash.
You could as easily ask for 'an empirical way to demonstrate love', but fewer would oppose the existence of love.
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"He isn't Doctor Who, he's The Doctor"
(Paul Sinha, BBC)
Posts: 24276 | From: Newport, Wales | Registered: Apr 2004
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Wood
The Milkman of Human Kindness
# 7
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Posted
quote:
Originally posted by Sioni Sais:
quote:
Originally posted by Wood:
To be honest though, the moment the guy went "Show me an empirical way to demonstrate God" I knew the thread was a wash.
You could as easily ask for 'an empirical way to demonstrate love', but fewer would oppose the existence of love.
Gotta be honest, it's not even that. It's just that that's one of those statements that signifies the beginning of an Endless Circular Argument With No Conclusion, Resolution or Understanding Ever and OH FUCK ABANDON ALL HOPE ABORT ABORT
[ 20. October 2014, 11:05: Message edited by: Wood ]
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Narcissism.
Posts: 7842 | From: Wood Towers | Registered: Apr 2001
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Evensong
Shipmate
# 14696
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Posted
quote:
Originally posted by Wood:
To be honest though, the moment the guy went "Show me an empirical way to demonstrate God" I knew the thread was a wash.
Was that Justinian? I thought it was lilbuddha. I thought Justinian had more nous when it comes to arguing the existence of God. He just disregards the premise on false grounds which he can't provide the evidence for.
But you're quite right nevertheless.
As for Dafyd, I had to google mendacity. I hate having to google words. Offends my sense of verbal superiority.
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a theological scrapbook
Posts: 9481 | From: Australia | Registered: Apr 2009
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Wood
The Milkman of Human Kindness
# 7
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Posted
quote:
Originally posted by Evensong:
quote:
Originally posted by Wood:
To be honest though, the moment the guy went "Show me an empirical way to demonstrate God" I knew the thread was a wash.
Was that Justinian? I thought it was lilbuddha. I thought Justinian had more nous when it comes to arguing the existence of God.
It was lilbuddha, yeah. Doesn't matter. Thread was a wash.
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Narcissism.
Posts: 7842 | From: Wood Towers | Registered: Apr 2001
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Wood
The Milkman of Human Kindness
# 7
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Posted
quote:
Originally posted by Evensong:
Just for future reference, I think he is a she. ![[Big Grin]](biggrin.gif)
Noted.
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Narcissism.
Posts: 7842 | From: Wood Towers | Registered: Apr 2001
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Erroneous Monk
Shipmate
# 10858
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Posted
Ring theory. Sounds impenetrable.
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And I shot a man in Tesco, just to watch him die.
Posts: 2950 | From: I cannot tell you, for you are not a friar | Registered: Jan 2006
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mousethief
Ship's Thieving Rodent
# 953
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Posted
quote:
Originally posted by Erroneous Monk:
Ring theory. Sounds impenetrable.
On the contrary. There's a hole in the middle you could drive a truck through.
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This is the last sig I'll ever write for you...
Posts: 63536 | From: Washington | Registered: Jul 2001
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Wood
The Milkman of Human Kindness
# 7
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Posted
quote:
Originally posted by mousethief:
quote:
Originally posted by Erroneous Monk:
Ring theory. Sounds impenetrable.
On the contrary. There's a hole in the middle you could drive a truck through.
Well played.
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Narcissism.
Posts: 7842 | From: Wood Towers | Registered: Apr 2001
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Wood
The Milkman of Human Kindness
# 7
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Posted
The joke that keeps on giving.
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Narcissism.
Posts: 7842 | From: Wood Towers | Registered: Apr 2001
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orfeo
Ship's Musical Counterpoint
# 13878
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Posted
I miss rings, even if I only dealt with them for 4 weeks of my life in total. It was fun knowing that 3 x 4 = 5 and that 3 and 4 are both square roots of 2.
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Technology has brought us all closer together. Turns out a lot of the people you meet as a result are complete idiots.
Posts: 18173 | From: Under | Registered: Jul 2008
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