Gary gives a brief history of the logic of time at 1:30 pm (Mar 31)

Gary will give a talk titled "A Brief History of the Logic of Time: Some Paradoxes from A to Z" this Friday. His talk will begin with a puzzle inspired by Erich Friedman [1998]. You can click here to read the puzzle with a picture of triplets or check the Puzzle Palace of Erich Friedman for more examples.

Puzzle: Tweedledum, Tweedledee, and Tweedledoo are identical triplets.

Each either tells the truth all day long or tells lies all day long.

Tweedledum lies only on Mondays and Tuesdays.

Tweedledee lies only on Wednesdays and Thursdays.

Tweedledoo lies only Fridays, and Saturdays.

On Sundays everyone tells the truth.

Alice meets the three of them and calls them A, B, and C since she can’t tell them apart.

This is what Alice heard:

A says, “I will lie tomorrow.”

B says, “I lied yesterday, and I will lie tomorrow.”

C says, “Today isn’t Tuesday.”

What day of the week did the conversation take place? Who are A, B, and C?