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The Oxford logician and author of *Alice in Wonderland*, Lewis Carroll……..

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These are Four Riddles from Lewis Carroll inspiration.

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Read these articles:

# Lewis Carroll Logician and Mathematician

# Carroll’s Paradox

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First, visit — Monty Hall Problem. Don’t read past ‘Solution.’

Attempt to solve. Write down method of solution.

Read ‘Solution.’

Visit Wiki’s Monty Hall Problem.

Carry out ‘Simulation.’

Step One: Gentle intro

*“Are rational numbers countable?”*

Step Two: The Hotel Infinity

*“Related to Cantor’s argument that rational numbers are countable?”*

Step Three: Self Similarity

*“Can you write out details of constructing the Cantor Set?”*