A question on infinity
If I am given an infinite supply of beer and drink bodacious amounts for three years, is it correct to say I have an infinite supply of beer or is" I had an infinite supply" better ? Is there a mathematical difference?
Quote: billryanIf I have an infinite bankroll and lose two $100 bets, is my bankroll now infinity-2, or is it still infinite?
If I am given an infinite supply of beer and drink bodacious amounts for three years, is it correct to say I have an infinite supply of beer or is" I had an infinite supply" better ? Is there a mathematical difference?
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From what I remember infinity - 2 is still infinity, the way you can think about it is imagine "infinity" is just an unfathomably large number, -200$ still makes it....an unfathomably large number.
Quote: billryanIf I have an infinite bankroll and lose two $100 bets, is my bankroll now infinity-2, or is it still infinite?
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Still infinite. Assuming whatever your base denomination is is an integer, the "infinity" you are using is what I call aleph-null, although aleph-nought is also used.
Look at it this way:
Assume you have $100 chips. Number them 1, 2, 3, ...
You bet two chips and lose both bets. Renumber your remaining chips 1, 2, 3, ...
Every chip in both sets has a distinct positive integer, and every positive integer has a chip in both sets.
You can make the same argument for your beer by dividing it into discrete pints. "What if, at some point, I don't have enough to make a pint?" Then it's not infinite, is it?
Quote: billryanSo Infinity is more a concept than a reality?
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It's about as much a concept as the square root of -1 is. Note that the square root of -1 is defined as "not real."
Quote: DeucekiesIt's the paradox that a player with an infinite bankroll can never win. No matter how much he comes out ahead each day, his bankroll will always be infinite.
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Is it a coincidence that the same applies to someone with a zero bankroll?
I think not.Quote: billryanIs it a coincidence that the same applies to someone with a zero bankroll?
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After all:
2x = x when x is 0 or infinity.
Seemingly it must have "always" been in existence, but how can that be?
Quote: billryan
If I am given an infinite supply of beer and drink bodacious amounts for three years, is it correct to say I have an infinite supply of beer or is" I had an infinite supply" better ? Is there a mathematical difference?
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I am thinking about a cat and a food dish.
As long as the bottom of the dish is not visible, an infinite amount of food is present, and loud complaints are unnecessary.
I imagine that after three solid years of truly bodacious beer consumption, the observer would not be able to see the back of the fridge, so an infinite supply of beer remains.
(I do not recommend this. Beer goes stale.)
infinity is one of those concepts that I don't really understand
the big bang theory is another one
trying to think about this stuff - and then getting a headache - and getting nowhere - always reminds me that there are people out there who are a lot smarter than me
.
Quote: DeucekiesIt's the paradox that a player with an infinite bankroll can never win. No matter how much he comes out ahead each day, his bankroll will always be infinite.
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I agree. Not just for the reason you stated, but I don't believe his bankroll necessarily comes out ahead each day.
Infinite is an adjective that is often applied to finite things.
Quote: lilredrooster.
infinity is one of those concepts that I don't really understand
the big bang theory is another one
trying to think about this stuff - and then getting a headache - and getting nowhere - always reminds me that there are people out there who are a lot smarter than me
.
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There are SO MANY concepts that I ‘understand’ but really don’t.
We use so much gas/oil but there is still more?
Air conditioning?
The 100 ton plane is held in the air by less air on one side of its wings?
I can make someone not feel the surgeon cutting them up?
Any artist painting?
Electricity.
Nuclear bomb.
The Nigerian Prince walks away with nothing. He needs your help in filing the necessary tax forms to claim a refund of the withheld amounts from the IRS. All he needs is your bank account number to complete the wire transfer. He will reimburse you 10% (Infinity) for your help.
As far as MS, the Nigerian Prince cannot claim an infinite refund. Gambling winnings reported on a W-2G, 1099, or other informational return from Mississippi casinos are subject to a three percent (3%) non-refundable income tax (in this case Infinity). He can write off the MS state taxes on his Federal tax form subject to a cap of $10,000.
Quote: MentalA Nigerian Prince comes to a MS casino and wagers an infinite amount of money on one hand on a JOB video poker machine. The resulting hand is two pair paying 2 for 1. The attendant brings a W2-G form. The amount in Box 1, Gross Winnings, is 2 * Infinity. However, the amount in Box 4, Federal Income Tax withheld, is 30% * Infinity = Infinity. Moreover, the amount in Box 15, State Income Tax withheld, is also 3% * Infinity = Infinity.
The Nigerian Prince walks away with nothing. He needs your help in filing the necessary tax forms to claim a refund of the withheld amounts from the IRS. All he needs is your bank account number to complete the wire transfer. He will reimburse you 10% (Infinity) for your help.
As far as MS, the Nigerian Prince cannot claim an infinite refund. Gambling winnings reported on a W-2G, 1099, or other informational return from Mississippi casinos are subject to a three percent (3%) non-refundable income tax (in this case Infinity). He can write off the MS state taxes on his Federal tax form subject to a cap of $10,000.
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It would take an infinite amount of time to load the infinite money into the machine, which doesn't have an infinite capacity to hold money, so I'd be rather suspicious of the entire event.
So, you have never seen an infinite TITO voucher? You can ask them to print one out at the cage using your infinite credit line. Just slip the TITO voucher into the bill acceptor.Quote: billryanIt would take an infinite amount of time to load the infinite money into the machine, which doesn't have an infinite capacity to hold money, so I'd be rather suspicious of the entire event.
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Since it would have to be an infinitely long piece of paper, I wouldn't have the strength to pick it up!Quote: Mental...You can ask them to print one out at the cage using your infinite credit line. Just slip the TITO voucher into the bill acceptor.
Maybe it's an old-style coin dropper and you just need to get infinity tokens from the change girl.Quote: MentalSo, you have never seen an infinite TITO voucher? You can ask them to print one out at the cage using your infinite credit line. Just slip the TITO voucher into the bill acceptor.Quote: billryanIt would take an infinite amount of time to load the infinite money into the machine, which doesn't have an infinite capacity to hold money, so I'd be rather suspicious of the entire event.
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Quote: JoemanMaybe it's an old-style coin dropper and you just need to get infinity tokens from the change girl.Quote: MentalSo, you have never seen an infinite TITO voucher? You can ask them to print one out at the cage using your infinite credit line. Just slip the TITO voucher into the bill acceptor.Quote: billryanIt would take an infinite amount of time to load the infinite money into the machine, which doesn't have an infinite capacity to hold money, so I'd be rather suspicious of the entire event.
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How many times would they have to fill the hopper if I cashed out?
