Timeline for For the honor of Hufflepuff
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
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| Mar 3, 2016 at 14:26 | comment | added | Deusovi♦ | @Peteris: Fair point! I think this boils down to what edactly is meant by a "strategy" - I've left a comment on the OP asking for clarification. | |
| Mar 3, 2016 at 14:22 | comment | added | Peteris | @Deusovi the accelerator executes an infinite number of turns during that minute - but after that, depending on the strategies used, there may be any number between 0 and infinity balls remaining - for example, a strategy that takes only even-numbered balls will leave an infinite number of balls, and the game will not end. Furthermore, a strategy can easily prescribe doing one thing in the infinite number of accelerated turns during that minute, and a different thing in the minute after that, thus achieving a significantly different result than simply repeating one thing forever. | |
| Mar 3, 2016 at 14:11 | comment | added | Deusovi♦ | @Peteris: That is mathematically impossible. There is no turn "after" the infinite set of turns; there is one turn for each natural number $n$, and if the first turn takes thirty seconds, it happens $1-2^-n$ minutes in. There is no last turn. | |
| Mar 3, 2016 at 13:55 | comment | added | Peteris | @Deusovi there are infinitely many turns in the middle, but if the process has an end (... how an "accelerator" does that is impossible, anyways ..) then there is a last turn, after which the state of the game (and winning) is measured, a next-to-last turn, etc. who all have a finite number of turns after them, but infinite number of turns before them. | |
| Mar 3, 2016 at 13:05 | comment | added | Deusovi♦ | @Peteris: There are infinitely many turns. That's why the accelerator is part of it; every turn has infinitely many turns after it. | |
| Mar 3, 2016 at 12:44 | comment | added | Peteris | " if a marble is put in, then it will be removed" is true iff "the end" is at least n turns after that marble is put in - which may or may not be true depending on how you make the strategies and interpret the contest. | |
| Mar 3, 2016 at 4:34 | history | edited | Deusovi♦ | CC BY-SA 3.0 |
deleted 115 characters in body
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| Mar 3, 2016 at 4:27 | comment | added | Paul Sinclair | That answers the classic part of the puzzle. | |
| Mar 3, 2016 at 4:17 | history | answered | Deusovi♦ | CC BY-SA 3.0 |