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A promise is binding in the inverse ratio of the numbers to whom it is made.
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Appendix

 

Thomas De Quincey

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Common sense in matters medical is rare, and is usually in inverse ratio to the degree of education.

 

William Osler

 

There can be an infinite number of polygons, but only five regular solids. Four of the solids were associated with earth, fire, air and water. The cube for example represented earth. These four elements, they thought, make up terrestrial matter. So the fifth solid they mystically associated with the Cosmos. Perhaps it was the substance of the heavens. This fifth solid was called the dodecahedron. Its faces are pentagons, twelve of them. Knowledge of the dodecahedron was considered too dangerous for the public. Ordinary people were to be kept ignorant of the dodecahedron. In love with whole numbers, the Pythagoreans believed that all things could be derived from them. Certainly all other numbers.
So a crisis in doctrine occurred when they discovered that the square root of two was irrational. That is: the square root of two could not be represented as the ratio of two whole numbers, no matter how big they were. "Irrational" originally meant only that. That you can't express a number as a ratio. But for the Pythagoreans it came to mean something else, something threatening, a hint that their world view might not make sense, the other meaning of "irrational".

 

Carl Sagan

 

The moon is not kept in her orbit round the earth, nor the earth in her orbit round the sun, by a force that varies merely in the inverse ratio of the squares of the distances.

 

Thomas Malthus

 

Where popular authority is absolute and unrestrained, the people have an infinitely greater, because a far better founded, confidence in their own power. They are themselves, in a great measure, their own instruments. They are nearer to their objects. Besides, they are less under responsibility to one of the greatest controlling powers on the earth, the sense of fame and estimation. The share of infamy that is likely to fall to the lot of each individual in public acts is small indeed; the operation of opinion being in the inverse ratio to the number of those who abuse power. Their own approbation of their own acts has to them the appearance of a public judgment in their favor. A perfect democracy is, therefore, the most shameless thing in the world. As it is the most shameless, it is also the most fearless. No man apprehends in his person that he can be made subject to punishment.

 

Edmund Burke

 

My friend Peter Schmidt used to talk about ‘not doing the things that nobody had ever thought of not doing’, which is an inverse process – where you leave out an assumption that everybody has always made and see what happens (e.g. music has to be made of intentionally produced sounds was the assumption that Cage left out).

 

Peter (artist) Schmidt