Today’s post is going to be a riddle; I figured it was about time for another one. You and I both have envelopes filled with money. My envelope contains either double or half the amount of money that’s in yours. If you want, I’m going to let you switch envelopes. Should you stay, switch, or [...]
I figure what with all the riddles I’ve been giving that now is a good time to go over this. According to Wikipedia, the two incompleteness theorems can be summarized as follows: “We can never find an all-encompassing axiomatic system which is able to prove all mathematical truths, but no falsehoods.” “If an axiomatic system [...]
Continue reading about Gödel’s Proof Does Not Ruin The Credibility Of Math
I will give you $1 million to answer a yes or no question either truthfully or falsely. Would you take me up on this offer? Please use rot13 to encode your answers so as not to ruin the puzzle for anybody else.
Continue reading about Raymond Smullyan: I Will Give You $1 Million
I’m posting all these puzzles because Yat said he thought that logic puzzles are becoming stale, and I’m trying to prove him otherwise. There are two types of inhabitants in the world: humans and vampires. Humans always tell the truth and vampires always lie. Also, inhabitants can either be sane or insane. Someone who is [...]
Since my other Raymond Smullyan puzzle was so popular, I’m adding another one. As always, you can find his riddles in his books in much greater depth. A perfect logician goes to visit the island of knights and knaves. Knights always tell the truth and knaves always lie. There is no one else on the [...]
Continue reading about Raymond Smullyan: The Logician Who Couldn’t (Knights and Knaves)
It’s from Raymond Smullyan’s book The Lady or the Tiger and in my opinion it is the best logic puzzle ever written. You want to buy a truth machine. They are machines that have two lights, red and green, and truthfully answer any yes or no question. The truth machine store has three machines in [...]
Does absolute truth exist or not? There are clearly some subjective things in the world, such as what’s the best movie, who’s the hottest girl, and whether or not Fox is a good network. But, are there any truly objective truths? Yes, yes there are. In fact, there are more than you may realize. A [...]
This is an essay I wrote during my junior year in high school back in the year 2000. It’s fun to look back on my early days! The Meaning of Life By Stedwick Prelude What you are about to read is probably not what you are used to reading. This little essay of mine is [...]
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