Proof Quotes - page 14
They do not ill, being lords of ours, to slay
Me; nay, they could not spare: but thee to slay,
To spill thy strong young life for truth to me,
In all men's eyes would mark them monstrous: thou
Must live, and serve my slayers, and serving them
Sustain my memory by the proof - if God
Shall give thee grace to prove it - that thy name,
Thy father's name and mine, in true men's ears
Rings truth, and means not treason.
Algernon Charles Swinburne
There were times when Robert actually envied his ancestors, who had lived in dark ignorance, before the twenty-first century, and seemed to have spent most of their time making up weird, ornate explanations of the world to fill the yawning gap of their ignorance. Back then, one could believe in anything at all.
Simple, deliciously elegant explanations of human behavior-it apparently never mattered whether they were true or not, as long as they were incanted right. "Party lines" and wonderful conspiracy theories abounded. You could even believe in your own sainthood if you wanted. Nobody was there to show you, with clear experimental proof, that there was no easy answer, no magic bullet, no philosopher's stone. Only simple, boring sanity.
How narrow the Golden Age looked in retrospect.
David Brin
In March 1879 Clifford died at Madeira; six years afterwards a posthumous work is for the first time placed before the public. ...The original work as planned by Clifford was to have been entitled The First Principles of the Mathematical Sciences Explained to the Non-Mathematical, and to have contained six chapters, on Number, Space, Quantity, Position, Motion, and Mass respectively. Of the projected work Clifford in the year 1875 dictated the chapters on Number and Space completely, the first portion of the chapter on Quantity, and somewhat later nearly the entire chapter on Motion. The first two chapters were afterwards seen by him in proof, but never finally revised. Shortly before his death he expressed a wish that the book should only be published after very careful revision and that its title should be changed to The Common Sense of the Exact Sciences.
William Kingdon Clifford
If Theodore Roosevelt is the great champion of democracy -the arch foe of autocracy, what business had he as the guest of honor of the Prussian Kaiser? And when he met the Kaiser, and did honor to the Kaiser, under the terms imputed to him, wasn't it pretty strong proof that he himself was a Kaiser at heart? Now, after being the guest of Emperor Wilhelm, the Beast of Berlin, he comes back to this country, and wants you to send ten million men over there to kill the Kaiser; to murder his former friend and pal. Rather queer, isn't it? And yet, he is the patriot, and we are the traitors. I challenge you to find a Socialist anywhere on the face of the earth who was ever the guest of the Beast of Berlin, except as an inmate of his prison-the elder Liebknecht and the younger Liebknecht, the heroic son of his immortal sire.
Eugene V. Debs
So much of modern mathematical work is obviously on the border-line of logic, so much of modern logic is symbolic and formal, that the very close relationship of logic and mathematics has become obvious to every instructed student. The proof of their identity is, of course, a matter of detail: starting with premisses which would be universally admitted to belong to logic, and arriving by deduction at results which as obviously belong to mathematics, we find that there is no point at which a sharp line can be drawn, with logic to the left and mathematics to the right. If there are still those who do not admit the identity of logic and mathematics, we may challenge them to indicate at what point, in the successive definitions and deductions of Principia Mathematica, they consider that logic ends and mathematics begins. It will then be obvious that any answer must be quite arbitrary.
Bertrand Russell