0 Members and 1 Guest are viewing this topic.

Even if there are a lot of players, it could take a good long time before a payout.

Nothing would happen in an infinite universe.

You could not wait an infinitely long time for something to happen, because infinity is not a length of time. ... in an infinite universe in would always be in a state of having been drawn, if the concept of being drawn has any meaning in infinity.

Countable and uncountable infinities are mathematical concepts, but that’s as far as it goes. A countable infinity is a set with the same cardinality as some subset of the set of natural numbers. All that means is that whatever the objects in the “infinite” set may be; they can be placed in one-to-one relationship with the set of natural numbers. Valuable as that concept may be in mathematics, beyond that, it is meaningless.

So your infinite lottery post was proposing meaningless nonsense?

Quote from: dlordeNothing would happen in an infinite universe. I don't see the justification for that, but if so, it means your infinite lottery couldn't happen.

The original intention of the infinite lottery scenario was to demonstrate the absurdity of trying to apply the concepts of mathematical infinities to actual infinity, whatever that may be.

Where possible, these apparent absurdities must be tested against real-world data, or for correspondence with other tested theories.

As I understand it, considering the geometry of the universe, it can have positive, negative, or zero spacetime curvature.

the jackpot winners (being a percentage of the infinite number of people taking part) would be infinite

Here's a fun game (it looks very simple at first, but I promise it's worth a good thought or two):I will flip a fair coin until it comes up heads (H). However many flips it takes to get that heads will determine your payout:If the first one is heads (H), you get $0.50; if I flip tails, then heads (TH), you get $1.00; TTH gets you $2; TTTH gets you $4, and so on. (payout = $0.05 × 2^{n}, where n = total number of flips)How much would you pay to play this game? What is the expected payout (for those who know how to calculate such a thing)? What is the probability of winning more than $50 in a single game?