In this paper I wish to offer a suggestion in support of the thesis that if a given set of facts is explained by two rival explanations A and B, where A consists of a single hypothesis H1, and B consists of at least two independent hypotheses H2 and H3, then, other things being equal, A is more probable than B. That this view is true is seldom questioned, though I have never seen any reason given for it, which would (...) justify the methodological value so many philosophers attribute to it. It is not my purpose to discuss simplicity of explanation in general, but simply to point out that the Multiplicative Axiom of the calculus of probabilities justifies the above thesis. I shall call this thesis the Principle of Parsimony. (shrink)

The problem of induction is to validate inferences from some experiences or data to others. By experiences or data I mean such things as red patches, sounds, tastes, pains. Distinctions between private and public data, between internal and external impressions, between data and objects, are not epistemologically primitive or given but are modes of categorizing the given. The application of categories and the construction of objects are cases of, and so presuppose the validity of, induction.To hypostatize a construction, or a (...) system of constructions, is in fact to generate what may be called an external world. Examples are physical objects, and scientific objects. And when analysis proceeds, as it often does, by replacing the original subject by constructs, a hierarchy of external systems is generated. Thus, physical objects—e.g., our bodies—are external to data, and scientific objects are external to physical objects. (shrink)

Metaphysical problems may be solved by the methods of inference employed in the empirical sciences. So we are told by many realists and pragmatists, among whom may be mentioned Professors J. B. Pratt, William Savery, and Donald Williams. Mr. Williams and Mr. Pratt have argued for the use of inductive methods in establishing the existence of an external world. Mr. Savery has asserted that all philosophical inference as to matter of fact is inductive. This naturalistic attitude is by no means (...) unusual—in fact it is so common in this age in which the speculations of scientists as well as their achievements have captivated the popular imagination, that even philosophers have for the most part failed to examine its validity and presuppositions. It is the purpose of this paper to present such an examination, not of the philosophic employment of inductive methods in general, but in regard to one specific problem; namely, that of the existence of an external world. What I purpose then is to present and evaluate the view that the existence of an external world may be established by inductive methods as employed in the empirical sciences. (shrink)

Everett J. Nelson; XVI—Causal Necessity and Induction, Proceedings of the Aristotelian Society, Volume 64, Issue 1, 1 June 1964, Pages 289–300, https://doi.org/.