What is a definition?

Foundations of Science

Volumn 3, Issue 1, 1998, Pages 111-132

  Brown, James Robert ^a  

^a UNIVERSITY OF TORONTO   (Canada)

Author keywords

Definition; Diagram; Hilbert Frege debate; Lakatos; Notation; Proof

Indexed keywords

EID: 54649083905     PISSN: 12331821     EISSN: 15728471     Source Type: Journal    
DOI: 10.1023/A:1009690306330     Document Type: Article

References (21)

1. Apostoli, P. (Forthcoming) "Logic, Truth, and Number. The Elementary Genesis of Arithmetic", in A.C. Anderson and M. Zeleny (eds.) Alonzo Church Memorial Volume, Dordrecht: Kluwer.
2. Bollob s, B. (1979), Graph Theory, New York: Springer.
3. Cantor, G. (1895/97), Contributions to the Founding of the Theory of Transfinite Numbers (trans P.E.B. Jourdain), New York: Dover 1955
4. Demopoulos, W. (ed.) (1995), Frege's Philosophy of Mathematics, Cambridge, MA: Harvard University Press.
5. Dummett, M. (1978a), "Frege's Distinction Between Meaning and Reference", reprinted in Dummett (1991).
6. Dummett, M. (1991), Frege: Philosophy of Mathematics, Cambridge, MA: Harvard University Press.
7. Ewald, W. (ed.) (1996), From Kant to Hilbert: A Source Book in the Foundations of Mathematics, (2 vols.) Oxford: Oxford University Press.
8. Frege, G. (1884), Foundations of Arithmetic, trans. J.L. Austin, Oxford: Blackwell, 2nd ed., 1953.
9. Frege, G. (1892), "On Sense and Reference", trans and reprinted in Gcach and Black, Translations from the Philosophical Writings of Gottlob Frege, Oxford: Blackwell 1970.
10. Frege, G. (1918), "The Thought: A Logical Inquiry", trans. A. Quinton and M. Quinton, reprinted in Klemke (1968).
11. Frege, G. (1971), On the Foundations of Geometry and Formal Theories of Arith metic. (Trans. & Ed. by E. H. Kluge), New Haven: Yale University Press.
12. Frege, G. (1979), Posthumous Writings, (eds. H. Hermes, et al.) Oxford: Blackwell.
13. Frege, G. (1980), Philosophical and Mathematical Correspondence, (eds. G. Gabriel, et al.). Oxford: Blackwell.
14. Hubert, D. (1899), Foundations of Geometry, (10th ed. trans. by L. Unger) La Salle, IL : Open Court.
15. Hilbert, D. (1925), "On the Infinite", reprinted in Benacerraf and Putnam (1984),
16. Lakatos, I. (1976), Proofs and Refutations, Cambridge: Cambridge University Press.
17. Misner, C., K. Thorne, J. Wheeler. (1973), Gravitation, Chicago: Freeman.
18. Moschovakis, Y. (1990), "Sense and Reference as Algorithm and Value", Proceedings of the 1990 ASL Meeting. Preprint.
19. Suppes, P. (1957), Introduction to Logic, New York: Van Nostrand.
20. Trndean, R.J. (1976), Introduction in Graph Theory, (reprinted 1993), New York: Dover.
21. Whitehead, A.N. and B. Russell (1910), Principia Mathematica, Cambridge: Cambridge University Press.