Hostname: page-component-7b7567c8c-7pwfn Total loading time: 0 Render date: 2026-11-15T05:18:54.475Z Has data issue: false hasContentIssue false
  • English
  • Français

Topological Logic

Published online by Cambridge University Press:  12 March 2014

Nicholas Rescher and
James Garson
Nicholas Rescher
Affiliation:
University of Pittsburgh
James Garson
Affiliation:
University of Pittsburgh
Get accessRights & Permissions [Opens in a new window]

Extract

The purpose of this paper is to present a very versatile family of logical systems of positional or topological logic. These systems—obtained by generalizing the existing systems of chronological logic—are to have a very general nature, capable of reflecting the characteristics of a wide range of logical systems, including not only chronological (also temporal or tense) logic, but also what we may call locative or place logic, and even a logic of “possible worlds”.

Information

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 33 , Issue 4 , January 1969, pp. 537 - 548
Copyright
Copyright © Association for Symbolic Logic 1969

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

Bibliography on Chronological Logic*

Anscombe, G. E. M., Before and after, The philosophical review, vol. 73 (1964), pp. 3–24.CrossRefGoogle Scholar
Aqvist, Lennart, ‘Next’ and ‘ought’: alternative foundations for von Wright's tense-logic with an application to deontic logic, Logique et analyse, vol. 9 (1966). pp. 231–251.Google Scholar
Bull, R. A., An algebraic study of Diodorean modal systems, this Journal, vol. 30 (1965), pp. 58–64.Google Scholar
Clifford, John E., Tense logic and the logic of change, Logique et analyse, vol. 9 (1966), pp. 219–230.Google Scholar
Cochiarella, Nino B., 1. Modality within tense logic, Abstract in this Journal, vol. 31 (1966), pp. 690–691.Google Scholar
Cochiarella, Nino B., 2. A completeness theorem for tense logic, Abstract in this Journal, vol. 31 (1966), pp. 689–690.Google Scholar
Garson, James, See Rescher and Garson (1967).Google Scholar
Loś, Jerzy, Podstawy analizy metodologicznej kanonow Milla (Foundations of the methodological analysis of Mill's canons). Annales Universitatis Mariae Curle-Sklodowska, vol. 2 (1947), pp. 269–301.Google Scholar
Loś, Jerzy, Reviewed by Henry Hiz in this Journal, vol. 16 (1951), pp. 58–59.Google Scholar
Luce, David R., A calculus of ‘before’, Theoria, vol. 32 (1966), pp. 24–44.CrossRefGoogle Scholar
Moody, Ernest A., † Truth and consequence ht medieval logie (Amsterdam, 1953). [For the schoolmen's treatment of the temporal ampliation of the terms of categorical propositions using tensed operators for past, present, and future, see pp. 53–63.]Google Scholar
Prior, Arthur N., 1. Time and modality The Clarendon Press, Oxford, 1957.Google Scholar
Prior, Arthur N., 2. The syntax of time distinctions, Franciscan Studies, vol. 18 (1958), pp. 105–120.CrossRefGoogle Scholar
Prior, Arthur N., 3. Tense-logic and the continuity of time, Studia logica, vol. 13 (1962), pp. 133–151.CrossRefGoogle Scholar
Prior, Arthur N., 4. Postulates for tense logic, American philosophical quarterly, vol. 3 (1966), pp. 153–161.Google Scholar
Prior, Arthur N., 5. Past, present and future, The Clarendon Press, Oxford, 1967.CrossRefGoogle Scholar
Reichenbach, Hans, Elements of symbolic logic, Macmillan, New York, 1947.Google Scholar
Rescher, Nicholas, 1. † Avicenna on the logic of ‘conditional’ propositions, Notre Dame journal of formal logic, vol. 4 (1963), pp. 48–58. Reprinted in Studies in the history of Arabic logic, Pittsburgh, 1963.CrossRefGoogle Scholar
Rescher, Nicholas, 2. On the logic of chronological propositions, Mind, vol. 75 (1966), pp. 75–96.CrossRefGoogle Scholar
Rescher, Nicholas, 3. † Temporal modalities in Arable logic, Dordrecht, 1966.Google Scholar
Rescher, Nicholas, 4. The logic of commands, Routledge & Kegan Paul, London, 1966.Google Scholar
Rescher, Nicholas, 5. Temporally conditioned descriptions, Ratio, vol. 8 (1966), pp. 46–54. With John Robison.Google Scholar
Rescher, Nicholas, 6. † Truth and necessity in temporal perspective, in Gale, R. M. (ed.), The philosophy of time, Doubleday-Anchor, New York, 1967.Google Scholar
Rescher, Nicholas, 7. A note on chronological logic, Theoria, vol. 33 (1967). With James Garson.CrossRefGoogle Scholar
Robison, John, See Rescher and Robison (1966).Google Scholar
Wright, Georg Henrik von, 1. Norm and action, Humanities Press, New York, 1963.Google Scholar
Wright, Georg Henrik von, 2. “And next,” Acta philosophica fennica, fasc. 18 (1965), pp. 293–304.Google Scholar
Wright, Georg Henrik von, * Items marked † are of interest primarily for the history of the field.Google Scholar