Proof by analogy is fraud.

 

Proof by analogy is fraud.
--
Stroustrup, Bjarne. The C++ Programming Language. pp. 692. 

 

Bjarne Stroustrup

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And how does the God’s existence emerge from the proof? Does it follow straightway, without any breach of continuity? Or have we not here an analogy to the behavior of the little Cartesian dolls? As soon as I let go of the doll it stands on its head. As soon as I let it go -- I must therefore let it go. So also with the proof. As long as I keep my hold on the proof, i.e., continue to demonstrate, the existence does not come out, if for no other reason than that I am engaged in proving it; but when I let the proof go, the existence is there. But this act of letting go is surely also something; it is indeed a contribution of mine. Must not this also be taken into the account, this little moment, brief as it may be -- it need not be long, for it is a leap. However brief this moment, if only an instantaneous now, this "now" must be included in the reckoning. Philosophical Fragments, Swenson, p. 32

 

Soren Aabye Kierkegaard

 

The vast ineptitude of his pretense would be a convincing proof that this was no fraud.

 

Jorge Luis Borges

 

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

 

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

 

I mean the word proof not in the sense of the lawyers, who set two half proofs equal to a whole one, but in the sense of a mathematician, where ? proof = 0, and it is demanded for proof that every doubt becomes impossible.

 

Carl Friedrich Gauss