https://relvokcor.xyz/~bfj/wallach-ix/tags/logic/ Recent content in Logic on Wallach IX Hugo en-us © Benjamin F Jones Sat, 03 May 2025 22:50:24 -0700 https://relvokcor.xyz/~bfj/wallach-ix/posts/ross-littlewood/ Sat, 03 May 2025 22:50:24 -0700 https://relvokcor.xyz/~bfj/wallach-ix/posts/ross-littlewood/ <h2 id="ross-littlewood-paradox">Ross-Littlewood Paradox</h2> <p>Ross has a vase. Littlewood has many small balls; one for each natural number $1, 2, 3, \dots$</p> <p>Littlewood first drops balls $1, 2, \ldots 10$ into the vase. Ross does not like that. The incident triggers the following game to start. In the game, Ross and Littlewood take alternating turns. In a round, Ross goes first then Littlewood responds.</p> <p>First round: Ross is mad about the balls so he removes ball $1$ from the vase. Littlewood responds by dropping in balls $11, 12, \ldots 20$. Second round: Ross removes ball $2$. Littlewood responds again, dropping balls $21, 22, \ldots 30$.</p>