A great deal more is known than has been proved.

 

A great deal more is known than has been proved.
--
Quoted in The Music of the Primes : Searching to Solve the Greatest Mystery of Mathematics (2003) by Marcus du Sautoy

 

Richard Feynman

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There has been a great deal of disinformation spread around the world about me, both from inside the orgs and outside; there has been a great deal of rumor and generally a great deal of it is untrue (some of it is true) and I thought that you might like to hear about some things from me and look me over and then you make up your own mind.

 

Ronald (born L. Ron Hubbard DeWolfe

 

Roosevelt was a great personality, a great activist, a great preacher of the moralities, a great controversialist, a great showman. He dominated his era as he dominated conversations ... the masses loved him; he proved to be a great popular idol and a great vote getter.

 

Theodore Roosevelt

 

I think the first thing that led me toward philosophy (though at that time the word 'philosophy' was still unknown to me) occurred at the age of eleven. My childhood was mainly solitary as my only brother was seven years older than I was. No doubt as a result of much solitude I became rather solemn, with a great deal of time for thinking but not much knowledge for my thoughtfulness to exercise itself upon. I had, though I was not yet aware of it, the pleasure in demonstrations which is typical of the mathematical mind. After I grew up I found others who felt as I did on this matter. My friend G. H. Hardy, who was professor of pure mathematics, enjoyed this pleasure in a very high degree. He told me once that if he could find a proof that I was going to die in five minutes he would of course be sorry to lose me, but this sorrow would be quite outweighed by pleasure in the proof. I entirely sympathized with him and was not at all offended. Before I began the study of geometry somebody had told me that it proved things and this caused me to feel delight when my brother said he would teach it to me. Geometry in those days was still 'Euclid.' My brother began at the beginning with the definitions. These I accepted readily enough. But he came next to the axioms. 'These,' he said, 'can't be proved, but they have to be assumed before the rest can be proved.' At these words my hopes crumbled. I had thought it would be wonderful to find something that one could prove, and then it turned out that this could only be done by means of assumptions of which there was no proof. I looked at my brother with a sort of indignation and said: 'But why should I admit these things if they can't be proved?' He replied, 'Well, if you won't, we can't go on.'

 

Bertrand Russell

 

The mathematicians know a great deal about very little and the physicists very little about a great deal.

 

Stanislaw Ulam

 

Indiana was really, I suppose, a Democratic State. It has always been put down in the book as a state that might be carried by a close and careful and perfect organization and a great deal of— [from audience: “soap,” in reference to purchased votes, the word being followed by laughter]. I see reporters here, and therefore I will simply say that everybody showed a great deal of interest in the occasion, and distributed tracts and political documents all through the country.

 

Chester A. Arthur