Quantification Theory in *9 of Principia Mathematica

History and Philosophy of Logic 21 (1):57-77 (2000)
This paper examines the quantification theory of *9 of Principia Mathematica. The focus of the discussion is not the philosophical role that section *9 plays in Principia's full ramified type-theory. Rather, the paper assesses the system of *9 as a quantificational theory for the ordinary predicate calculus. The quantifier-free part of the system of *9 is examined and some misunderstandings of it are corrected. A flaw in the system of *9 is discovered, but it is shown that with a minor repair the system is semantically complete. Finally, the system is contrasted with the system of *8 of Principia's second edition
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DOI 10.1080/01445340050044646
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References found in this work BETA
W. V. Quine (1951). Mathematical Logic. Cambridge: Harvard University Press.
W. V. Quine (1954). Quantification and the Empty Domain. Journal of Symbolic Logic 19 (3):177-179.

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