Inconsistent Sets of Statements from Knights and Knaves

On an island of knights and knaves, knights always tell the truth, knaves always lie, and everyone is either a knight or a knave. There are inhabitants denoted by A, B, C, …. Each one makes a statement about the number of knights in a set. (The set is the empty set with zero knights.) Their vocabulary is rather limited; generally they talk about even and odd numbers.
Show that the statements are inconsistent!


  • [Snapshot]
  • [Snapshot]
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.