Tuesday, May 21, 2024 Text is available under the CC BY-SA 3.0 licence.

Anonymous

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A proof tells us where to concentrate our doubts.

 
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Do not doubt him who tells you he is afraid, but be afraid of him who tells you he has no doubts.

 
Erich Fried
 

The evidence of evolution pours in, not only from geology, paleontology, biogeography, and anatomy (Darwin's chief sources), but from molecular biology and every other branch of the life sciences. To put it bluntly but fairly, anyone today who doubts that the variety of life on this planet was produced by a process of evolution is simply ignorant - inexcusably ignorant, in a world where three out of four people have learned to read and write. Doubts about the power of Darwin's idea of natural selection to explain this evolutionary process are still intellectually respectable, however, although the burden of proof for such skepticism has become immense...

 
Daniel C. Dennett
 

I shall, without further discussion of the other theories, attempt to contribute something towards the understanding and appreciation of the Utilitarian or Happiness theory, and towards such proof as it is susceptible of. It is evident that this cannot be proof in the ordinary and popular meaning of the term. Questions of ultimate ends are not amenable to direct proof. Whatever can be proved to be good, must be so by being shown to be a means to something admitted to be good without proof.

 
John Stuart Mill
 

As for the Internet, I tend to have profound doubts about the value of this communication advance to science. I wonder if, in an era of the Internet, we can have somebody like Eugene Wigner. Eugene Wigner's genius manifested itself in his ability to concentrate for a long time on a single idea. If you are constantly beset by outside ideas, can you really get to the true heart of the matter? It's a very different way of doing science.

 
Alvin M. Weinberg
 

I am obliged to interpolate some remarks on a very difficult subject: proof and its importance in mathematics. All physicists, and a good many quite respectable mathematicians, are contemptuous about proof. I have heard Professor Eddington, for example, maintain that proof, as pure mathematicians understand it, is really quite uninteresting and unimportant, and that no one who is really certain that he has found something good should waste his time looking for proof.

 
G. H. Hardy
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