New blog post: A short solution to the Monty Hall problem that I have not seen elsewhere (https://functor.network/user/414/entry/867).

#WordsAndSomeFormulas #MontyHall #Probability #Mathematics

Goat-and-switch: An Explanation for Monty Hall

“There is an island of knights who always say the truth and of knaves who never do. There is a country of day-knights who speak truthfully only at daytime and of night-knights whose speech at the day is a lie. There is an island of Democrats and Republicans.” – I have a new blog entry about knights-and-knaves riddles and how to understand them with propositional logic (https://functor.network/user/414/entry/510).

#WordsAndSomeFormulas #Logic #Riddles #Mathematics

On the Theory of Knights and Knaves

Why is the determinant of the matrix \( \begin{pmatrix} a_1 & b_1 \\ a_2 & b_2 \end{pmatrix} \) equal to \( a_1 b_2 - a_2 b_1 \)?

I have found a geometrical interpretation (https://functor.network/user/414/entry/299) and with it also started a blog.

#WordsAndSomeFormulas #Mathematics #MathEdu #Determinant #Geometry

A geometrical explanation of the determinant formula for $2 \times 2$ matrices