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Bibliography
Angelelli, I.: 1985, ‘Frege and Abstraction’, Philosophia Naturalis 21, 453–471.
Benacerraf, P.: 1965, ‘What Numbers Could Not Be’, The Philosophical Review 74, 47–73.
Burge, T.: 1984, ‘Frege on Extensions of Concepts, From 1884 to 1903’, The Philosophical Review 93, 3–34.
Devitt, M.: 1984, Realism and Truth. Oxford, Blackwell.
Dummett, M. A. E.: 1959, ‘Truth’, Proceedings of the Aristotelian Society 59, 141–162. Reprinted in Dummett, 1978, 1–24.
Dummett, M. A. E.: 1978, Truth and other Enigmas. London, Duckworth.
Field, H.: 1980, Science Without Numbers. Oxford, Blackwell.
Frege, G. (GGA). Grundgesetze der Arithmetik, Jena, Pöhle, 1893 (I), 1903 (II). Reprint Darmstadt, Wissenschaftliche Buchgesellschaft, 1962.
Frege, G. (GLA). Die Grundlagen der Arithmetik. Breslau, Koebner, 1884. Critical edition: Hamburg, Meiner, 1986. English translation: The Foundations of Arithmetic, 2nd rev. ed. Oxford, Blackwell, 1953.
Frege, G. (NS). Nachgelassene Schriften. Hamburg, Meiner, 1969. English translation: PW.
Frege, G. (PMC). Philosophical and Mathematical Correspondence. Oxford, Blackwell.
Frege, G. (PW). Posthumous Writings. Oxford, Blackwell, 1979.
Frege, G. (WB). Wissenschaftlicher Briefwechsel. Hamburg, Meiner, 1976. English translation: PMC.
Husserl, E.: 1970, Logical Investigations. London, Routledge & Kegan Paul.
Husserl, E.: 1984, Logische Untersuchungen. 2. Band. Den Haag, Nijhoff.
Lambert, K.: 1989, ‘Incomplete Objects: Meinong's Theory and its Applications’. In P. M. Simons (ed.), Essays on Meinong. Munich, Philosophia Verlag, 1989.
Lorenzen, P.: 1962, ‘Equality and Abstraction’, Ratio 4, 85–90.
Meinong, A.: 1915, ‘Über Möglichkeit und Wahrscheinlichkeit’, Leipzig, Barth. Reprint Graz, Akademische Druckund Verlagsanstalt, 1972.
Parsons, T.: 1987, ‘On the Consistency of the First-Order Portion of Frege's Logical System’, Notre Dame Journal of Formal Logic 28, 161–8.
Peano, G.: 1915, ‘Le definizioni per astrazione’, Bollettino della ‘Mathesis’ 7, 106–120.
Quine, W. V. O.: 1969, Set Theory and its Logic, Cambridge, Mass., Harvard University Press.
Resnik, M.: 1981, ‘Mathematics as a Science of Patterns: Ontology and Reference’, Noûs 15, 529–550.
Schroeder-Heister, P.: 1987, ‘A Model-Theoretic Reconstruction of Frege's Permutation Argument’, Notre Dame Journal of Formal Logic 28, 69–79.
Simons, P. M.: 1981, ‘Abstraction and Abstract Objects’. In: E. Morscher, O. Neumaier & G. Zecha (eds.), Philosophie als Wissenschaft/Essays in Scientific Philosophy, Bad Reichenhall, Comes, 355–370.
Simons, P. M.: 1987a, Parts, Oxford, Oxford University Press.
Simons, P. M.: 1987b, ‘Frege's Theory of Real Numbers’, History and Philosophy of Logic 8, 25–44.
Veraart, A.: 1976, ‘Geschichte des wissenschaftlichen Nachlasses Gottlob Freges und seiner Edition. Mit einem Katalog des ursprünglichen Bestands der nachgelassene Schriften Freges’. In M. Schirn (ed.), Studien zu Frege I. Logik und Philosophie der Mathematik, Stuttgart—Bad Cannstatt, Frommann-Holzboog, 1976, 49–108.
Weyl, H.: 1949, Philosophy of Mathematics and Natural Science, Princeton, Princeton University Press.
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Simons, P. Determinacy of abstract objects: The Platonist's dilemma. Topoi 8, 35–42 (1989). https://doi.org/10.1007/BF00138677
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DOI: https://doi.org/10.1007/BF00138677