Some Interesting Puzzles and Paradoxes

Some Puzzles

• Visual Puzzles, here are some rather astounding puzzles.
• Logical Puzzles, some puzzles that require logic.
• Mathematical Puzzles, some puzzles requiring some knowledge of mathematics. The necessary mathematics can be found on this page.

Some Paradoxes

A paradox is an apparently correct argument that leads to an apparently incorrect conclusion. Paradoxes provide some of the riches problems in Philosophy and are instructive in exposing our methods or reasoning.

• The Sorites Paradox, including a proof that everyone is bald.
• Newcomb's Paradox, the difficulty of acting rationally.
• Knowledge and Lotteries, a difficulty of knowledge.
• A paradox of coincidence, intuition about objects.

Some Nice Theorems of Mathematics

There are many beautiful theorems of mathematics. Some are easily presented and understandable without requiring much mathematical knowledge. Here are a few:

• The Pigeonhole Principle, how many people have the same number of hairs?
• Ramsey's Theorem, a party with mutual acquaintances.
  

Some Fallacies

A fallacy is an incorrect argument. Such incorrect arguments are, unfortunately, common especially concerning mathematical topics.

• The Birthday "Paradox", how many people do you need in a room to expect shared birthdays.
• Probabilistic Fallacies, what is meant by probability.
• A Collection of Games, are your beliefs consistent?

Recreational Mathematics