Doing a search for the definition of geometric logic, I have discovered that it’s mentioned in the movie *The Caine Mutiny*, by the notorious character of Captain Queeg:

Ahh, but the strawberries that’s… that’s where I had them. They laughed at me and made jokes but I proved beyond the shadow of a doubt and with… geometric logic… that a duplicate key to the wardroom icebox DID exist, and I’d have produced that key if they hadn’t of pulled the Caine out of action.

The upside of the technique is that it allows you to deduce the existence of real-world objects such as keys. The downside is that it drives you insane.

(More on the context of the quote here.)

The movie is from 1952 – I am not sure whether the concept of gemetric logic was even invented back then.

“… Captain Queeg … it drives you insane.” Is David Brown the mathematical equivalent of Captain Queeg? Everyone has ignored David Brown’s work on the RaÃ±ada-Milgrom effect and everything else.

http://www.claymath.org/millennium/Navier-Stokes_Equations/

Since mathematical understanding of the Navierâ€“Stokes equations is considered important, the Clay Mathematics Institute offered a prize in May 2000 for problems based on a specific set of definitions for solving the Navier-Stokes problem. There are two Existence cases (A), (B) and two Breakdown cases (C)=not(A), (D)=not(B). This brief communications claims to demonstrate the truth of (C), i.e., there some smooth initial data for the Navier-Stokes equations that lead to breakdown for any possible smooth continuation that solves the Navier-Stokes equations according to the Clay prize conditions.

http://vixra.org/pdf/1204.0004v1.pdf Is superstring theory essential for understanding nonlinear partial differential equations? Can someone please explain to David Brown what is wrong with the alleged counterexample? Is David Brown the mathematical equivalent of Captain Queeg?