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On Logic, Computation and Ideology: Bibliography

1. Frege, G., Begriffsschrift. Eine der arithmetischen nachgemachte Formelsprache des reinen Denkens. Halle, 1879.

2,3. We distinguish this usage of the term Science from that of philosophers of the Scientific Method such as Popper, q.v. The Logic of Scientific Discovery, Hutchinson, 1972. Later, we shall exploit this distinction in our discussion of the nature of Computer Science

4. Dummett, M., Elements of Intuitionism. O.U.P., 1977. Kripke, S.A., A completeness theorem in modal logic. J. Symb. Logic 24 pp. 1-14 (1959)

5. Jon Barwise and John Etchemendy, Situations and Attitudes. MIT, 1983

6. Various papers of Hyland, Rosolini, Phoa.

7. Gödel, K., Die Vollständigkeit der Axiome des logischen Funktionenkalküls. Monatsch. Math. Phys., 37, 349-360.

8. Whitehead, A.N., and B. Russell, Principia Mathematica. Cambridge, 1910-13.

9. Gödel, K., Über formal unentscheidbare Sätze der Principia und vewandter Systeme. Monatsch. Math. Phys., 38, 173-198.

10. Turing, A.M., On computable numbers, with an application to the Entscheidungsproblem. Proc. London Math. Soc., 42, 230-265; 43, 544-546. Church, A., A note on the entscheidungsproblem. J. Symb. Logic 1, pp. 40-41, 101-102. Also later work of Church and work of Post.

11. Thèse, Université de Paris, 1930.

12. Mathematische Zeitschrift 39 (1934), pp. 176-210, 405-431.

13. Howard, W.A., The formulæ-as-types notion of construction. In: To H.B. Curry: Essays on Combinatory Logic, Lambda Calculus and Formalism, pp. 479-490. Academic Press, 1980.

14. Girard, J.-Y., Interprétation functionelle et l'élimination des coupures de l'arithmétique d'ordre supérieur. Thèse, Université de Paris VII, 1972.

15. Girard, J.-Y., Linear Logic. Theor. Comp. Sci. 50, pp. 1-102, 1987.

16. Ibid. 5