The Analytic Character of Rigorous Inference

Part of the LEP Library of Exact Philosophy book series (LEP, volume 11)


The more important and comprehensive the role played by the syllogistic form in rigorous inference, the more sensitive does pure thought become to any criticism that attacks the actual import and usefulness of this kind of inference. This, perhaps, is what motivates the efforts, referred to just above, of those who do not wish to see the exact inferences in the sciences come under the jurisdiction of the syllogism. For it is a well-known fact that philosophy long ago passed a very harsh judgment on the value of syllogistic inference for human knowledge.


Analytic Character Axiom System Major Premiss Deductive Inference Implicit Definition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 4.
    Wundt, Logik I, 2nd edition, p. 322.Google Scholar
  2. 5.
    Sigwart, Logik I, 3rd edition, p. 479.Google Scholar
  3. 6.
    Kant, Prolegomena to Any Future Metaphysics, § 14.Google Scholar
  4. 7.
    Störring, Erkenntnistheorie, 1920, p. 250.Google Scholar
  5. 8.
    A. Riehl, Beiträge zur Logik, 2nd edition, p. 53.Google Scholar
  6. 9.
    E. Dürr, who incidentally treats this class of inferences in a similar fashion, came close to this view (Erkenntnistheorie, Leipzig 1910, pp. 68ff.). He did not reach it fully because he overlooked the fact that these inferences hold strictly only for number concepts. He says (op. cit., p. 69): “The concept of B does not contain the fact that C is located to its right.” Of course not. But the concept of a definite number (which gives the empirically observed position of B) does contain the fact that the number is larger than a certain other number (which has been shown by experience to be the number that determines the position of the object C).Google Scholar
  7. 10.
    A. Riehl, Beiträge zur Logik, 2nd edition, p. 53.Google Scholar
  8. 11.
    For example, the discovery of “new” fields of pure mathematics means simply the formation of new combinations of concepts.Google Scholar

Copyright information

© Springer-Verlag/Wien 1974

Authors and Affiliations

There are no affiliations available

Personalised recommendations