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BrainTwister #39: Game of logic

Can you solve this week’s logic puzzle? Plus our quick quiz and the answer to last week’s problem

By Peter Rowlett

25 September 2024

New Scientist. Science news and long reads from expert journalists, covering developments in science, technology, health and the environment on the website and the magazine.

#39 Game of logic

set by Peter Rowlett

Lewis Carroll’s Game of Logic involves placing counters on a board to represent logical statements. The top half of the board is x and the bottom half is “not x”, denoted by x’. The left and right halves are y and y’. The middle sections are m, and the outer sections are m’ (not labelled).

Say x means “new cake”, y means “nice cake” and m means “wholesome cake”. A red counter on the board means some cakes are in that section, and a grey counter means no cakes are in that section. The arrangement above says there are cakes that are new and nice, but none are wholesome.…

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