Abstract
In Begriffsschrift (1879) and Grundgesetze der Arithmethik (1893), Frege expounds a finite type theory which can be presented as a categorial grammar. The theory rests upon two distinctions: between complete and incomplete expressions and between different levels of incomplete expression. I call incomplete expressions functors, belonging to functorial categories; complete expressions belong to basic categories.
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Bibliography
Ajdukiewicz, Kazimierz, 1935, ‘Die syntaktische Konnexität’, Studia Philisophica 1, 1–27.
Ajdukiewicz, Kazimierz, 1967, ‘On Syntactical Coherence’, The Review of Metaphysics 20, 635–647 (part I of (1935), translated by P. T. Geach from the Polish text in Ajdukiewicz, Jezyk y Poznawie, Warsaw, 1960).
Barth, Else Margarete, 1971, De Logica van de Lidwoorden in de traditionelle Filisophie, Universitaire Pers Leiden, Leiden.
Bourbaki, N., 1954, Eléments de mathématique, première partie, Les structures fondamentales de l’analyse, livre 1, Théorie des ensembles, Hermann et Cie., Paris.
Church, Alonzo, 1956, Introduction to Mathematical Logic, vol. 1, Princeton University Press, Princeton, New Jersey.
Fitch, Frederic Benton, 1952, Symbolic Logic: An Introduction, The Ronald Press Company, New York.
Frege, Gottlob, 1879, Begriffsschrift, L. Nebert, Halle.
Frege, Gottlob, 1893, Grundgesetze der Arithmetik, vol. 1, H. Pohle, Jena.
Geach, Peter Thomas, 1962, Reference and Generality, Cornell University Press, Ithaca.
Geach, Peter Thomas, 1970,4A Program for Syntax’, Synthese 22, 3–17.
Geach, Peter Thomas, 1972, re-print of (1970) in D. Davidson and G. Harman (editors), Semantics of Natural Language, Reidei, Dordrecht.
Hilbert, D. and Ackermann, W., 1950, Principles of Mathematical Logic, Chelsea Publishing Co., New York. Translation from the second German edition, 1938.
Quine, Willard Van Orman, 1951, Mathematical Logic, Harper and Row, New York.
Russell, Bertrand, 1913, Principia mathematica, Cambridge University Press, Cambridge.
Russell, Bertrand, 1919, An Introduction to Mathematical Philosophy, Allen and Unwin, London.
Wittgenstein, Ludwig, 1922, Tractatus Logico-Philosophicus, Routledge and Kegan Paul, London. Re-printed with a new translation, 1961.
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© 1973 D. Reidel Publishing Company, Dordrecht, Holland
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Potts, T.C. (1973). Fregean Categorial Grammar. In: Bogdan, R.J., Niiniluoto, I. (eds) Logic, Language, and Probability. Synthese Library, vol 51. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-2568-3_25
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DOI: https://doi.org/10.1007/978-94-010-2568-3_25
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