Plunging into the world of paradoxes and puzzles with a "strange loop"; it is a self-contradictory problem from which there is no escape; the liar's paradox and the barber's paradox; "proving" that 1+1=1; the Island of Knights and Knaves.

Why all numbers are interesting; why 0.99999... is nothing less than the number 1; learning that one's intuition about breaking spaghetti noodles is probably wrong; how averages, from mileage to the Dow Jones Industrial Average, can be deceptive.

Investigating the Monty Hall problem, a puzzle named after the host of "Let's Make a Deal"; Hall lets contestants change their guess about the location of a hidden prize after revealing new information about where it is not.

Some statistics are the product of confused thinking due to Simpson's paradox and similar errors of statistical reasoning; how this problem arises in sports, social science and especially medicine, where it can lead to inappropriate treatments.

Touring Zeno's paradoxes of motion, space and time; exploring solutions using calculus and other techniques; looking at the deeper philosophical implications, which gain new relevance through the discoveries of modern physics.

Strategies for fitting ever more visitors into a hotel that has an infinite number of occupied rooms; sampling a selection of supertasks, which are exercises with an infinite number of steps that are completed in finite time.