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Modalities and Quantification

  • Rudolf Carnap (a1)
  • DOI:
  • Published online: 01 March 2014

The purpose of this article is to give a survey of some results I have found in investigations concerning logical modalities. The results refer: (1) to semantical systems, i.e., symbolic language systems for which semantical rules of interpretation are laid down; (2) to corresponding calculi, i.e., syntactical systems with primitive sentences and a rule of inference; (3) to relations between a semantical system and the corresponding calculus.

The semantical systems to be dealt with are the following: pro positional logic (PL), functional logic (FL), and the corresponding modal systems, viz. modal propositional logic (MPL) and modal functional logic (MFL).

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P. Bernays , Mathematische Zeitschrift, vol. 25 (1926)

E. L. Post , American journal of mathematics, vol. 43 (1921).

W. V. Quine , Notes on existence and necessity. The journal of philosophy, vol. 40 (1943), pp. 113127.

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The Journal of Symbolic Logic
  • ISSN: 0022-4812
  • EISSN: 1943-5886
  • URL: /core/journals/journal-of-symbolic-logic
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