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From principles is derived probability, but truth or certainty is obtained only from facts.
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From principles is derived probability, but truth is obtained only from facts. - Jesse Olney (1798 - 1872), The National Preceptor (Goodwin, 1830), Lesson LXXXV: "Select Sentences," rule # 19 (p. 171)

 

Tom Stoppard

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One finds in this subject a kind of demonstration which does not carry with it so high a degree of certainty as that employed in geometry; and which differs distinctly from the method employed by geometers in that they prove their propositions by well-established and incontrovertible principles, while here principles are tested by inferences which are derivable from them. The nature of the subject permits of no other treatment. It is possible, however, in this way to establish a probability which is little short of certainty. This is the case when the consequences of the assumed principles are in perfect accord with the observed phenomena, and especially when these verifications are numerous; but above all when one employs the hypothesis to predict new phenomena and finds his expectations realized.

 

Christiaan Huygens

 

Is dogmatic or scholastic theology less doubted in point of fact for claiming, as it does, to be in point of right undoubtable? And if not, what command over truth would this kind of theology really lose if, instead of absolute certainty, she only claimed reasonable probability for her conclusions? If we claim only reasonable probability, it will be as much as men who love the truth can ever at any given moment hope to have within their grasp. Pretty surely it will be more than we could have had, if we were unconscious of our liability to err.

 

William James

 

The general laws of Nature are not, for the most part, immediate objects of perception. They are either inductive inferences from a large body of facts, the common truth in which they express, or, in their origin at least, physical hypotheses of a causal nature serving to explain phenomena with undeviating precision, and to enable us to predict new combinations of them. They are in all cases, and in the strictest sense of the term, probable conclusions, approaching, indeed, ever and ever nearer to certainty, as they receive more and more of the confirmation of experience. But of the character of probability, in the strict and proper sense of that term, they are never wholly divested. On the other hand, the knowledge of the laws of the mind does not require as its basis any extensive collection of observations. The general truth is seen in the particular instance, and it is not confirmed by the repetition of instances.

 

George Boole

 

The design of this Memoir is to deduce strictly from a few principles, obtained chiefly by experiment, the rationale of those electrical phenomena which are produced by the mutual contact of two or more bodies, and which have been termed galvanic; its aim is attained if by means of it the variety of facts be presented as unity to the mind.

 

Georg Ohm

 

" No human being can give an eternal resolution to another or take it from him; If someone objects to that then one might just as well be silent if there is no probability of winning others, he thereby has merely shown that although his life very likely thrived and prospered in probability and everyone of his undertakings in the service of probability went forward, he has never really ventured and consequently has never had or given himself the opportunity to consider that probability is an illusion, but to venture the truth is what gives human life and the human situation pith and meaning, to venture is the fountainhead of inspiration, whereas probability is the sworn enemy of enthusiasm, the mirage whereby the sensate person drags out time and keeps the eternal away, whereby he cheats God, himself, and his generation: cheats God of the honor, himself of liberating annihilation, and his generation of the equality of conditions."

 

Soren Aabye Kierkegaard