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Statistics in Science - The Foundations of Statistical Methods in Biology, Physics and Economics (Paperback, Softcover reprint of the original 1st ed. 1990)
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Statistics in Science - The Foundations of Statistical Methods in Biology, Physics and Economics (Paperback, Softcover reprint of the original 1st ed. 1990)
Series: Boston Studies in the Philosophy and History of Science, 122
Expected to ship within 10 - 15 working days
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An inference may be defined as a passage of thought according to
some method. In the theory of knowledge it is customary to
distinguish deductive and non-deductive inferences. Deductive
inferences are truth preserving, that is, the truth of the premises
is preserved in the con clusion. As a result, the conclusion of a
deductive inference is already 'contained' in the premises,
although we may not know this fact until the inference is
performed. Standard examples of deductive inferences are taken from
logic and mathematics. Non-deductive inferences need not preserve
truth, that is, 'thought may pass' from true premises to false
conclusions. Such inferences can be expansive, or, ampliative in
the sense that the performances of such inferences actually
increases our putative knowledge. Standard non-deductive inferences
do not really exist, but one may think of elementary inductive
inferences in which conclusions regarding the future are drawn from
knowledge of the past. Since the body of scientific knowledge is
increasing, it is obvious that the method of science must allow
non-deductive as well as deductive inferences. Indeed, the
explosive growth of science in recent times points to a prominent
role for the former. Philosophers of science have long tried to
isolate and study the non-deductive inferences in science. The
inevitability of such inferences one the one hand, juxtaposed with
the poverty of all efforts to identify them, constitutes one of the
major cognitive embarrassments of our time."
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