Refutations of Received Wisdom

Thesis:  “You can’t put a quart in a pint pot.”  (old folk-adage)

Antithesis:  According to Banach-Tarski, you can.

       https://en.wikipedia.org/wiki/Banach%E2%80%93Tarski_paradox

Fixed That 4 U.

Thesis:  “Il faut qu’une porte soit ouverte ou fermée” (Musset).
["A door must be either open or closed."]

Antithesis:  On the contrary:  it might be ajar (a word we first learned in childhood, in the riddle:   Q: When is a door  not a door?”  A: When it’s ‘a-jar’.)  Or more generally, it might be clopen.

      https://en.wikipedia.org/wiki/Clopen_set

Fixed That 4 U.

Featherless biped

Fixed That 4 U.

Problem:  The central problem of computing science is whether P = NP.   How can we go about settling the question?

Answer:  Simple.   We need only demonstrate that N = 1.

Fixed That 4 U.