The Probable and the Provable [Book Review]

Review of Metaphysics 32 (1):131-133 (1978)
  Copy   BIBTEX

Abstract

Salutary reading for all philosophers, and not only for inductive logicians, philosophers of science and law, this important book presents an elaborate theory of inductive reasoning whose substantive features are as strikingly original as the approach is rare. First, the theory is based on concrete, real, actual, and significant instances of inductive reasoning, e.g., Karl von Frisch’s work on bees; that is, though its aim is genuinely theoretical in the sense that it engages in the proper amounts of idealization, abstraction, systematization, precision, and rigor, it never loses sight of the fact that "theories in the philosophy of science, like theories in science itself, have to face up to the challenge of appropriately accredited experience within their appointed domains". Second, a central subject matter being analyzed is legal reasoning, that is, the types of proofs and arguments used by juries, judges, and lawyers in the Anglo-American system of jurisprudence, where criminal charges have to be proved beyond reasonable doubt and civil cases have to be argued on the balance of probability. Thus, in effect, Cohen’s synthesis of juridical and of scientific reasoning is an admirable example of the bridging of two "cultures." Third, and most importantly, the concept of "inductive probability," in terms of which Cohen makes sense out of his subject matter, is incommensurable with that of "mathematical probability," namely the classical calculus of chance according to which probability is measurable, additive, transitive, and obeys a multiplicational principle for conjunction and a complementational one for negation. This is not to say that "inductive probability" is a hazy, mysterious, or unstructured concept, and Cohen goes to great lengths to show that it is ordinal, modal, and formally analyzable; what it does mean is that essential types of reasoning in science and in law involve probable inferences whose probabilities are nonquantitative. Hence, though Cohen does not stress the qualitative nature of inductive probability, his book will be welcome by those who conceive of philosophy as scientia qualitatum. Specific conclusions reached by Cohen are that, in general, probability may be conceived as degree of provability, that differences in proof-rules generate different special cases of probability, that inductive probability may be viewed as the special case where the proof-rules are incomplete, that inductive probability is to inductive support as deducibility is to logical truth, and that some recent epistemological scepticism may be refuted by Cohen’s inductive logic. Finally, he sees himself in the British inductivist tradition, interpreting his predecessors as groping toward a logic of inductive support and probability rather than a methodology of discovery: from Bacon he develops the notion of eliminative induction but rejects that of induction by enumeration; Mill’s canons are analyzed as special cases of Cohen’s own "method of relevant variables," except for the method of residues, which is rejected as invalid ; he takes his critique of mathematical probability as a vindication of Hume’s thesis that "probability or reasoning from conjecture may be divided into two kinds, viz., that which is founded on chance and that which arises from causes" ; Whewell’s consilience of induction is justified ; and from Keynes, he develops the notion of the "weight" of evidence but rejects his mathematicist approach.—M. A. F.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,202

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

The Probable and the Provable. [REVIEW]James M. Brown - 1978 - Philosophical Studies (Dublin) 26:270-271.
The Probable and the Provable.Martin Edman - 1980 - Philosophical Books 21 (3):164-167.
Arithmetical interpretations of dynamic logic.Petr Hájek - 1983 - Journal of Symbolic Logic 48 (3):704-713.
Is the best explaining theory the most probable one?Thomas Bartelborth - 2006 - Grazer Philosophische Studien 70 (1):1-23.
Confirmation and hypothesis.Lawrence Resnick - 1959 - Philosophy of Science 26 (1):25-30.
Probability, credibility and acceptability.Richard G. Swinburne - 1971 - American Philosophical Quarterly 8 (3):275 - 283.
Can contradictions be asserted?Manuel Bremer - 1999 - Logic and Logical Philosophy 7:167.

Analytics

Added to PP
2012-03-18

Downloads
17 (#815,534)

6 months
4 (#678,769)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

The Representation of Chance.Andreas Hergovich & Ivo Ponocny - 2004 - Journal of Cognition and Culture 4 (1):79-100.

Add more citations

References found in this work

No references found.

Add more references