Linked bibliography for the SEP article "Definitions" by Anil Gupta and Stephen Mackereth
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- Belnap, N., 1993, “On Rigorous Definitions,” Philosophical Studies, 72: 115–146. (Scholar)
- Beth, E. W., 1953, “On Padoa’s Method in the Theory of
Definitions,” Indagationes Mathematicae, 15:
330–339. (Scholar)
- Boolos, G. S., 1997, “Is Hume’s Principle
Analytic?” in Language, Thought, and Logic: Essays in Honour
of Michael Dummett, edited by R. K. Heck, Oxford: Oxford
University Press. Reprinted in his Logic, Logic, and Logic,
edited by R. Jeffrey and J. P. Burgess, Cambridge MA: Harvard
University Press (1998), pp. 301–314. (Scholar)
- Boolos, G. S., Burgess, J. P., and Jeffrey, R. C., 2002, Computability and Logic, fourth edition, Cambridge: Cambridge University Press. (Scholar)
- Carnap, R., 1956, Meaning and Necessity: A Study in Semantics and Modal Logic, enlarged edition, Chicago: University of Chicago Press. (Scholar)
- Carnap, R. 1963, “Replies and Systematic Expositions,” in The Philosophy of Rudolph Carnap, edited by P. A. Schilpp, La Salle IL: Open Court, pp. 859–1013. (Scholar)
- Chapuis, A., and Gupta, A. (eds.), 1999, Circularity, Definition, and Truth, New Delhi: Indian Council of Philosophical Research. (Scholar)
- Charles, D. (ed.), 2010, Definition in Greek Philosophy, Oxford: Oxford University Press. (Scholar)
- Chihara, C. S., 1973, Ontology and the Vicious-Circle Principle, Ithaca: Cornell University Press. (Scholar)
- Church, A., 1956, Introduction to Mathematical Logic, Princeton: Princeton University Press. (Scholar)
- –––, 1976, “Comparison of Russell’s
Resolution of the Semantical Antinomies with that of Tarski,”
Journal of Symbolic Logic, 41: 747–760. (Scholar)
- Demopoulos, W., 2003, “On the Rational Reconstruction of our Theoretical Knowledge,” British Journal for the Philosophy of Science, 54: 371–403. (Scholar)
- Dudman, V. H., 1973, “Frege on Definitions,” Mind, 83: 609–610. (Scholar)
- Field, H., 1984, “Crispin Wright: Frege’s Conception
of Numbers as Objects (Aberdeen University Press 1983),”
Canadian Journal of Philosophy, 14(4): 637–662. (Scholar)
- Fine, K., 1994, “Essence and Modality,” Philosophical Perspectives, 8: 1–15. (Scholar)
- Frege, G., 1879, Begriffsschrift, in From Frege to Gödel: A Source Book in Mathematical Logic, 1879–1931, edited by J. van Heijenoort, Cambridge MA: Harvard University Press (1967), pp. 1–82. (Scholar)
- –––, 1884, The Foundations of Arithmetic: A Logico-Mathematical Inquiry into the Concept of Number, second revised edition (1980), Evanston: Northwestern University Press. (Scholar)
- –––, 1914, “Logic in Mathematics,”
in Gottlob Frege: Posthumous Writings, edited by H. Hermes,
F. Kambartel, and F. Kaulbach, Chicago: University of Chicago Press
(1979), pp. 203–250. (Scholar)
- Gödel, K., 1944, “Russell’s Mathematical
Logic,” reprinted in his Collected Works: Volume II:
Publications 1938–1974, New York: Oxford University Press
(1990), pp. 119–141 (Scholar)
- Gupta, A., 1988/89, “Remarks on Definitions and the Concept
of Truth,” Proceedings of the Aristotelian Society, 89:
227–246. (Scholar)
- –––, 2006, “Finite Circular Definitions,” in Self-Reference, edited by T. Bolander, V. F. Hendricks, and S. A. Andersen, Stanford: CSLI Publications, pp. 79–93. (Scholar)
- –––, 2019, Conscious Experience: A Logical Inquiry, Cambridge, MA: Harvard University Press. (Scholar)
- Gupta, A. and Belnap, N., 1993, The Revision Theory of Truth, Cambridge MA: MIT Press. (Scholar)
- Hacker, P.M.S., 1993, “Wittgenstein on Ostensive Definitions,” Inquiry, 18: 267–287. (Scholar)
- Halbach, V., 2014, Axiomatic Theories of Truth, revised edition, New York: Cambridge University Press. (Scholar)
- Hale B., and Wright C., 2001, The Reason’s Proper Study:
Essays towards a Neo-Fregean Philosophy of Mathematics, Oxford:
Clarendon Press. (Scholar)
- Hazen, A., 1983, “Predicative Logics,” in Handbook of Philosophical Logics: Volume I: Elements of Classical Logic, edited by D. Gabbay and F. Guenthner, Dordrecht: Reidel, pp. 331–407. (Scholar)
- Hodges, W., 1993, “Tarski’s Theory of
Definition,” in New Essays on Tarski and Philosophy,
edited by D. Patterson, Oxford: Oxford University Press, pp.
94–132. (Scholar)
- Horty, J., 2007, Frege on Definitions: A Case Study of Semantic Content, New York: Oxford University Press. (Scholar)
- Horwich, P., 1998, Meaning, Oxford: Clarendon Press. (Scholar)
- Kremer, P., 1993, “The Gupta-Belnap systems
\(\mathbf{S}^{\#}\) and \(\mathbf{S}^{*}\) are not
axiomatisable,” Notre Dame Journal of Formal Logic, 34:
583–596. (Scholar)
- Kripke, S. A., 1980, Naming and Necessity, Cambridge MA: Harvard University Press. (Scholar)
- Lewis, D., 1970, “How to Define Theoretical Terms,” Journal of Philosophy, 67: 427–446. (Scholar)
- Linnebo, Ø., 2018, Thin Objects: An Abstractionist Account, New York: Oxford University Press. (Scholar)
- Locke, J., 1689, An Essay concerning Human Understanding, edited by P. H. Nidditch, Oxford: Oxford University Press (1975). (Scholar)
- Mackereth, S., and Avigad, J., forthcoming, “Two-sorted Frege Arithmetic is not Conservative,” Review of Symbolic Logic, first online 18 April 2022. doi:10.1017/s1755020322000156 (Scholar)
- Martinez, M., 2001, “Some Closure Properties of Finite Definitions,” Studia Logica, 68: 43–68. (Scholar)
- Moschovakis, Y., 1974, Elementary Induction on Abstract Structures, Amsterdam: North-Holland. (Scholar)
- Padoa, A., 1900, “Logical Introduction to Any Deductive
Theory,” in From Frege to Gödel: A Source Book in
Mathematical Logic, 1879–1931, edited by J. van Heijenoort,
Cambridge MA: Harvard University Press (1967), pp. 118–123. (Scholar)
- Quine, W. V. O., 1951, “Two Dogmas of Empiricism,” reprinted in his From a Logical Point of View, Cambridge MA: Harvard University Press (1953), pp. 20–46. (Scholar)
- –––, 1960, Word and Object, Cambridge MA: MIT Press. (Scholar)
- Ramsey, F. P., 1931, “Theories,” reprinted in
Foundations: Essays in Philosophy, Logic, Mathematics and
Economics, edited by D. H. Mellor, Atlantic Highlands, NJ:
Humanities Press, 1978, pp. 101–125. (Scholar)
- Robinson, R., 1950, Definition, Oxford: Clarendon Press. (Scholar)
- Rosen, G., 2015, “Real Definition,” Analytic Philosophy, 56: 189–209. (Scholar)
- Russell, B., 1908, “Mathematical Logic as Based on the Theory of Types,” reprinted in his Logic and Knowledge: Essays 1901–1950, London: George Allen & Unwin, 1956, pp. 59–102. (Scholar)
- –––, 1948, Human Knowledge: Its Scope and Limits, New York: Simon and Schuster. (Scholar)
- Shapiro, L., 2006, “The Rationale Behind Revision-Rule Semantics,” Philosophical Studies, 129: 477–515. (Scholar)
- Suppes, P., 1957, Introduction to Logic, New York: Van Nostrand Reinhold. (Scholar)
- Tarski, A., 1983, Logic, Semantics, Metamathematics: Papers from 1923 to 1938, second edition, edited by J. Corcoran, Indianapolis: Hackett Publishing Company. (Scholar)
- Urbaniak, R., and Hämäri, K. S., 2012, “Busting a
Myth about Leśniewski and Definitions,” History and
Philosophy of Logic, 33: 159–189. (Scholar)
- Villanueva, E., (ed.), 1997, Truth (Philosophical Issues 8), Atascadero: Ridgeview Publishing Company. (Scholar)
- Weir, A., 2003, “Neo-Fregeanism: An Embarrassment of Riches,” Notre Dame Journal of Formal Logic, 44(1): 13–48. (Scholar)
- Whitehead, A. N., and Russell, B., 1925, Principia Mathematica, vol. 1, second edition, Cambridge: Cambridge University Press. (Scholar)
- Whiteley, C. H., 1956, “Meaning and Ostensive Definition,” Mind, 65: 332–335. (Scholar)
- Wittgenstein, L., 1953, Philosophical Investigations, New York: Macmillan. (Scholar)
- Wright, C., 1997, “On the Philosophical Significance of
Frege’s Theorem,” in Language, Thought, and Logic:
Essays in Honour of Michael Dummett, edited by R. K. Heck,
Oxford: Oxford University Press. Reprinted in Hale and Wright 2001,
pp. 272–306. (Scholar)