The inspiration for this address comes from Little Tim—or should I call him Tiny Tim? And this is odd because I don’t really know his name. He belonged to the D-stream of a school, and he sat on the front row of the class to which I was speaking. I have no idea now what I was talking about: but I do know that to all intents and purposes Little Tim was unmoved by any of my eloquence. His round little face was immobile, and nothing that I could do seemed able to disturb its obvious complacency. And then—I do not know what caused it all to happen, and I like to think it was not because he had noticed that my shoelace was undone or my front eollar-stud missing—the trace of a smile began to appear upon his lips. It broadened to a horizontal line across his round and homely face; and then the vision faded. Little Tim returned once again to his former state.

Situation: To find the number of unit squares the diagonal of a rectangle passes through when the rectangle has integer sides and is divided into unit squares.

From a university examination paper:

" The variables P, V, T, ϕ are connected by the relations

PV = RT, ϕ = Cv log P + Cp log V,

where Cp, Cv and R are constants, and Cp — Cv = R. Prove that

The study of artificial satellites is today a subject of topical interest and naturally much work has been completed in the field of satellite orbits. Many aspects of this work involve the use of differential equations. Unfortunately very few of these may be solved by ordinary analytic techniques. One possibility is to define a new function to be the solution of the given equation, for example the logarithmic function. Nowadays we use computers. Nevertheless it is highly satisfying to produce an analytic solution to a problem in applied mathematics for in a sense we have succeeded in displaying a pattern in the physical world.

This is not to be taken too seriously.

Two or three players compete in the solution by relaxations of three linear equations

R1 ≡ a1x + b1y + c1z + d1 = 0,

R2 ≡ a2x + b2y + c2z + d2 = 0,

R3 ≡ a3x + b3y + c3z + d3 = 0.

Before the equations are formed each player adopts one of the residuals Rlt R2, R3. When there are two players one residual remains unadopted.

Correspondence on the ‘Antelope’ article has indicated that there is an error in the “Mr. Moneybags” argument on pages 234-235. The error lies in the translation of the argument from its English form to the corresponding Symbolic Logic form.