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Science proceeds by inference, rather than by the deduction of mathematical proof. A series of observations is accumulated, forcing the deeper question: What must be true if we are to explain what is observed? What "big picture" of reality offers the best fit to what is actually observed in our experience? American scientist and philosopher Charles S. Peirce used the term "abduction" to refer to the way in which scientists generate theories that might offer the best explanation of things. The method is now more often referred to as "inference to the best explanation." It is now widely agreed to be the philosophy of investigation of the world characteristic of the natural sciences.

Alister E. McGrath
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Science proceeds by inference, rather than by the deduction of mathematical proof. A series of observations is accumulated, forcing the deeper question: What must be true if we are to explain what is observed? What "big picture" of reality offers the best fit to what is actually observed in our experience? American scientist and philosopher Charles S. Peirce used the term "abduction" to refer to the way in which scientists generate theories that might offer the best explanation of things. The method is now more often referred to as "inference to the best explanation." It is now widely agreed to be the philosophy of investigation of the world characteristic of the natural sciences.

Alister E. McGrath
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The word 'proof' should strictly only be used when we are dealing with deductive inferences.... Popper claimed that scientists only need to use deductive inferences.... So if a scientist is only interested in demonstrating that a given theory is false, she may be able to accomplish her goal without the use of inductive inferences.... When a scientist collects experimental data, her aim might be to show that a particular theory...is false. She will have to resort to inductive reasoning.... So Popper's attempt to show that science can get by without induction does not succeed.

Samir Okasha, Philosophy of Science: A Very Short Introduction
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The dull mind, once arriving at an inference that flatters the desire, is rarely able to retain the impression that the notion from which the inference started was purely problematic.

George Eliot, Silas Marner
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The aim of scientific thought, then, is to apply past experience to new circumstances; the instrument is an observed uniformity in the course of events. By the use of this instrument it gives us information transcending our experience, it enables us to infer things that we have not seen from things that we have seen; and the evidence for the truth of that information depends on our supposing that the uniformity holds good beyond our experience.

William Kingdon Clifford, Lectures and Essays by the Late William Kingdon Clifford, F.R.S.
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It remains to mention some of the ways in which people have spoken misleadingly of logical form. One of the commonest of these is to talk of 'the logical form' of a statement; as if a statement could never have more than one kind of formal power; as if statements could, in respect of their formal powers, be grouped in mutually exclusive classes, like animals at a zoo in respect of their species. But to say that a statement is of some one logical form is simply to point to a certain general class of, e.g., valid inferences, in which the statement can play a certain role. It is not to exclude the possibility of there being other general classes of valid inferences in which the statement can play a certain role

Peter Frederick Strawson, Introduction to Logical Theory
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From visible habits we make inferences as to the invisible attributes of the soul. Therefore, statecraft is soulcraft.

George F. Will, The Woven Figure: Conservatism and America's Fabric
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A Bill of Rights is what the people are entitled to against every government, and what no just government should refuse, or rest on inference.

Thomas Jefferson
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One great function of Bible verses: To keep us from drawing false inferences from other Bible verses.

John Piper
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The more guidance a central bank can provide the public about how policy is likely to evolve the greater the chance that market participants will make appropriate inferences.

Ben Bernanke
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In the absence of any general inference from ‘A is a potential X’ to ‘A has the rights of an X’, we should not accept that a potential person should have the rights of a person, unless we can be given some specific reason why this should hold in this particular case.

Peter Singer, Practical Ethics
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