Timeline for Is there a position in infinite Go for which the life of a particular stone has transfinite game value?
Current License: CC BY-SA 4.0
14 events
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| May 26, 2018 at 12:54 | comment | added | Martin Sleziak | If you prefer not to leave here too many comments related more closely to tag-creation than to this specific question, we can continue the discussion about this in this chatroom. | |
| May 26, 2018 at 12:54 | comment | added | Martin Sleziak | @JoelDavidHamkins Thanks for creating also the tag-excerpt when creating the new tag. I wonder whether the tag is intended also for topological games, such as Banach-Mazur game and Choquet game. If yes, perhaps this information should be added to the tag-info. | |
| May 11, 2018 at 19:07 | vote | accept | Christopher King | ||
| May 6, 2018 at 2:01 | comment | added | Joel David Hamkins | I created the infinite-games tag and added it to this question and a number of other questions. I plan to gradually add this tag to the many other infinite-game-related MO questions over the coming days and weeks. Anyone who is interested, please help with this! | |
| May 5, 2018 at 23:51 | history | edited | Joel David Hamkins |
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| May 5, 2018 at 22:44 | answer | added | Joel David Hamkins | timeline score: 38 | |
| May 5, 2018 at 19:47 | comment | added | Christopher King | @JoelDavidHamkins I was just copying the title of the previous question. Also, I based the question on the idea of life and death puzzles in Go (such as the ones found here). | |
| May 5, 2018 at 19:45 | comment | added | Joel David Hamkins | Yes, I was only objecting to the title---the question is great! Previous attempts to make sense of infinite Go have found difficulty with defining the winner at time $\omega$, since perhaps one has groups surrounding groups surrounding groups in a way that the density does not converge, and so it isn't clear who has won. The interesting innovation of this question, to my way of thinking, is changing the game to the life or death of a particular stone. | |
| May 5, 2018 at 19:45 | history | edited | Christopher King | CC BY-SA 4.0 |
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| May 5, 2018 at 19:41 | comment | added | Joel David Hamkins | It's a nice question. But I find the title to be wrong (and I have similarly objected to the title of the infinite chess question), since the game value, when infinite, is not measuring the number of moves. Rather, a position has game value $\omega$, if the loser is in effect counting down from $\omega$, not up to $\omega$, and any such attempt will end in finitely many moves, not $\omega$ many. I would suggest the title: Is there a position in infinite Go for which the life of a particular stone has transfinite game value? | |
| May 5, 2018 at 19:34 | comment | added | Christopher King | @NoamD.Elkies no. | |
| May 5, 2018 at 19:34 | comment | added | Noam D. Elkies | (also, "ladders" could provide a mechanism for such a construction.) | |
| May 5, 2018 at 19:33 | comment | added | Noam D. Elkies | must a "position" have finitely many stones in this game? | |
| May 5, 2018 at 18:54 | history | asked | Christopher King | CC BY-SA 4.0 |