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The Principles of Inductive Logic

John Venn
American Mathematical Society/Chelsea
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The Basic Library List Committee suggests that undergraduate mathematics libraries consider this book for acquisition.

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  • The physical foundations of inference, or the world as the logician regards it: an exposition of the principal assumptions demanded for the establishment of a material or objective system of logic
  • The foundations of logic considered more in detail, and especially in respect of what is demanded for inference; (I) Sequences of phenomena, or laws of causation
  • Continuation of the previous subject in respect of (II) Co-existences; and comparison of these with sequences through the same three stages of advancing precision and completeness
  • The uniformity of nature; or that wide conception of regularity in the external world, which is the objective counterpart of inferribility
  • The subjective foundations of induction, or the principal postulates demanded on the mental side
  • Language: a discussion of the principal questions involved in its reference, functions, medium, and varieties
  • Terms; as interpreted and subdivided in logic
  • Propositions: their general nature and composition
  • The schedule of propositions: the various ways in which they may be arranged and subdivided for logical purposes
  • Hypothetical and disjunctive judgments; their distinctive characteristics, and the circumstances of their origin
  • Definition; in logic and in science
  • Division, in its old interpretation: the simple analysis of the denotation of terms
  • Division scientifically considered: further analysis and development
  • Induction; or the process of generalizing an attribute, observed in certain objects, over the whole class to which they belong
  • The syllogism in relation to induction: modified acceptance of Mill's view
  • Analysis and synthesis, regarded as correlated applications of the general process of hypothesis
  • Inductive methods: the analysis of the antecedents, and exclusion of all but the cause
  • Standards and units, as applicable to physical objects or events
  • Standards and units as applied directly to psychical data
  • Geometrical data: discussion of some of the difficulties commonly felt in their realization
  • Explanation and verification, as steps towards the methodization and establishment of our knowledge of nature
  • A universal or perfect language
  • Extensions of our general powers of observation; or the nature and limits of our control over space and time
  • The ideal of logic and methodology; or the degree and kind of knowledge at which induction may legitimately aim
  • Speculation and action; or the logical and scientific view of the world as modified by our practical tendencies