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20 replies to this topic

#11 Martini

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Posted 13 December 2007 - 02:58 AM

I don't understand how .999 could = 1
becuase if you look at what isn't there, the .001
that .001 is something
if .999=1 then .001 must equal 0


.999 doesn't = 1

but

.999... does = 1

.333... = 1/3

.333... + .333... + .333... = .999...
1/3 + 1/3 + 1/3 = 1

.999... = 1

Consider the following riddle (ignore the laws of physics):

There is a being with supernatural powers that can move very, very quickly. He flicks the switch to a lamp to the on position. He waits exactly 1 minute and turns it off. He flicks it back on after 30 seconds. He flicks it off after 15 seconds. He flicks it on after 7 1/2 seconds. He continues in this manner (flicking the switch after waiting exactly one-half the time he waited before hitting it the last time). How long before he's finished?
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#12 Ploper

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Posted 13 December 2007 - 11:48 PM

thanks again martini
now I finally understand what's goin on.

plus, I'm finally convinced with the 1/3 thing, based on a conversation with my friend.
YAY
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#13 cpotting

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Posted 14 December 2007 - 02:03 AM

Just wanted to bring up the fact that trying to divide a cake by percentages is inherently dangerous and destructive.
At some point. in your quest to achieve an exact 33.33333333333333333333333333333333333333...% division of the cake, two out of three cakes will force you have a left over atom or two.

WARNING: Do NOT try this at home:

Splitting one of those left over atoms will solve your problem - in fact, it will solve ALL your problems... and your neighbours... and most of your hometown...
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#14 Martini

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Posted 14 December 2007 - 05:58 AM

Just wanted to bring up the fact that trying to divide a cake by percentages is inherently dangerous and destructive.
At some point. in your quest to achieve an exact 33.33333333333333333333333333333333333333...% division of the cake, two out of three cakes will force you have a left over atom or two.


It's not because you're dividing it by "percentages" though; it's just because you're dividing it. You divide it equally whether or not you say each person gets one third or each person gets 33.333...%.
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#15 bonanova

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Posted 18 December 2007 - 08:45 AM

two out of three cakes will force you have a left over atom or two.

If they're chocolate atoms, [shhh!] I will remove the problem by volunteering to eat them.
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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

#16 carlosn27

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Posted 18 December 2007 - 05:47 PM

its very simply divided:
all 3 people do rock/paper/scissors and the loser cuts, the winner picks a piece first, and the second place winner gets the second choice.
the loser/cutter gets the remaining piece.
how much more fair than that can you get?
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#17 bonanova

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Posted 19 December 2007 - 07:56 AM

its very simply divided:
all 3 people do rock/paper/scissors and the loser cuts, the winner picks a piece first, and the second place winner gets the second choice.
the loser/cutter gets the remaining piece.
how much more fair than that can you get?

What outcome of RPS gives you a winner, a 2nd place winner and a loser?
RRR, PPP, SSS and RPS are useless.
RRP, PPS and SSR gives two losers
RPP, PSS and SRR gives two winners.

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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

#18 spoxjox

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Posted 19 December 2007 - 09:09 AM

What outcome of RPS gives you a winner, a 2nd place winner and a loser?
RRR, PPP, SSS and RPS are useless.
RRP, PPS and SSR gives two losers
RPP, PSS and SRR gives two winners.


"Good ol' rock! Nothing beats rock."
-- Bart Simpson
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#19 carlosn27

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Posted 19 December 2007 - 09:35 PM

each person plays the other two people.
if there's a clear cut winner (ie, one person won against both other players), then the two losers play for second place.

if there's no clear cut winner, then they play again until one person has the most cumulative wins after a round.

yes, it could go on forever, and while they're playing their silly RPS game, then I could sneak in and eat the cake from under them.
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#20 Writersblock

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Posted 19 December 2007 - 11:13 PM

I hope it's not an ice cream cake. If it is, it's all melty by now and nobody will want a piece after all.
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