Download PDF by Peter Duren: A century of mathematics in America.

By Peter Duren

ISBN-10: 0821801309

ISBN-13: 9780821801307

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The factual asymmetry of cases of underdetermination to which the objection appeals does not say much about the conceptual possibility of empirically irresolvable conflicts of assertion in areas of science other than physics. Richard W. Miller, for instance, states that if “smart people” have looked hard over a long time span for an observationally equivalent or better alternative in a given field of inquiry, and failed to find one, then this lack of success is a compelling reason to believe there is no such alternative (Miller, 1987, p.

Mill’s tentative explanation has many defects, yet it is an intriguing suggestion for investigating the contingencies and asymmetries of underdetermination. 4. No Quick Solutions 35 ual is entitled, subject to certain constraints, to make inferences from an observed sample to a universal hypothesis or a future event. The problem of choosing the ‘true one’ among underdetermined, conflicting (total) theories, on the other hand, is entirely unaffected by the truth or falsity of the uniformity thesis.

A Humean Predicament? material-object-hypothesis cannot be refuted or falsified by observation, at least not in the customary sense of falsification. Physical bodies and generalizations based upon them already pervade observation, and there is no alternative idiom. Finally, Quine assumed that there is such a thing as an (evolving) homogeneous, unique scientific “system of the world”, which after reconstruction in first-order logic and set-theory indicates our ontological commitments. This is an idealization, to be sure, made to make an epistemological point about the genesis of this edifice out of the ‘torrent of stimuli’.

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A century of mathematics in America. by Peter Duren


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