Ruth Barcan Marcus
Ruth Barcan Marcus
|Died||February 19, 2012 (aged 90)|
|Education||New York University (B.A. 1941)|
Yale University (M.A. 1942)
Yale University (Ph.D. 1946)
|Quantified modal logic, Barcan formula, tag theory of names|
Ruth Barcan Marcus (/
Academic career and service
Ruth Barcan (as she was known before marriage) graduated magna cum laude from New York University in 1941, majoring in mathematics and philosophy. She then went to graduate school at Yale, obtaining her M.A. in 1942. and her PhD in 1946.
She was a visiting professor at Northwestern University from 1950 until 1953 and, again, in 1959. She served as assistant, and then as associate, professor at the newly founded Roosevelt University, Chicago, between 1956 and 1963. From 1964 to 1970, Marcus was a professor of philosophy at the University of Illinois at Chicago (originally serving as a head of department). She was professor of philosophy at Northwestern University from 1970 until 1973 when she was appointed as the Reuben Post Halleck Professor of Philosophy at Yale University until retiring, as a professor emerita, in 1992. She would continue to teach, during winter semesters, at the University of California, Irvine until 1997.
Amongst other professional offices held during her career, she served as Chair of the Board of Officers for the American Philosophical Association (1976–83) and as President of both the Association for Symbolic Logic (1983–86) and then of the International Institut de Philosophie (1989–92).
Quantified modal logic
The widely discussed Barcan formula is introduced as an axiom in QML. In her earliest published work, the publication of the first axiomatic study of modal logic with quantifiers, Marcus published under her maiden name Ruth C. Barcan. It features these three articles: "A Functional Calculus of First Order Based on Strict Implication", Journal of Symbolic Logic (JSL, 1946), "The Deduction Theorem in a Functional Calculus of First Order Based on Strict Implication" (JSL, 1946), and "The Identity of Individuals in a Strict Functional Calculus of Second Order", (JSL, 1947).
The first systems of quantified modal logic, which extended some propositional modal systems of Clarence Irving Lewis to first and second order; the papers of 1946 and 1947, were a major accomplishment in the development of 20th century logic.
Lewis gives Marcus special recognition in his "Notes on the Logic of Intension", originally printed in Structure, Method, and Meaning: Essays in Honor of Henry M. Sheffer (New York, 1951). Here Lewis recognizes Barcan Marcus as the first logician to extend propositional logic as a higher order intensional logic.
Marcus proposed the view in the philosophy of language according to which proper names are what Marcus termed mere "tags" ("Modalities and Intensional Languages" (Synthese, 1961) and elsewhere). According to her tag theory of names (a direct reference theory), these "tags" are used to refer to an object, which is the bearer of the name. The meaning of the name is regarded as exhausted by this referential function. This view contrasts for example with Bertrand Russell's description theory of proper names as well as John Searle's cluster description theory of names which prevailed at the time. This view of proper names (presented in 1962 with Willard Van Orman Quine as commentator) has been identified by Quentin Smith with the theory of reference given in Saul Kripke's Naming and Necessity. However, in a recent laudatio to Ruth Barcan Marcus, Professor Timothy Williamson says:
One of the ideas in them that resonates most with current philosophy of language is that of proper names as mere tags, without descriptive content. This is not Kripke's idea of names as rigid designators, designating the same object with respect to all relevant worlds, for 'rigidified' definite descriptions are rigid designators but still have descriptive content. Rather, it is the idea, later developed by David Kaplan and others, that proper names are directly referential, in the sense that they contribute only their bearer to the propositions expressed by sentences in which they occur.
Necessity of identity
Marcus formally proved the necessity of identity in 1946 and informally argued for it in 1961, thereafter thus rejecting the possibility of contingent identity. See Journal of Symbolic Logic, (1947) 12: pp 12–15
Semantics of QML
Marcus prefers an interpretation where the domain of the interpretation comprises individual entities in the actual world. She also suggests that for some uses an alternative substitutional semantics is warranted. She provides arguments against possibilia. See "Dispensing with Possibilia" (Proceedings of the American Philosophical Association, 1975–76); "Possibilia and Possible Worlds" (Grazer Philosophische Studien, 1985–86).
Marcus defines a consistent set of moral principles as one in which there is some "possible world " in which they are all obeyable. That they may conflict in the actual world is not a mark of inconsistency. As in the case of necessity of identity, there was a resistance to this interpretation of moral conflict. Her argument counts against a widely received view that systems of moral rules are inevitably inconsistent.
It is proposed that believing is a relationship of an agent to a possible state of affairs under specified internal and external circumstances. Assenting to a quoted sentence (the disquotation account of belief) is only one behavioral marker of believing. Betting behavior is another. The wholly language-centered account of belief (e.g. Davidson) is rejected. Where an agent would traditionally be described as believing an impossibility until its impossibility was disclosed, Marcus proposes that under those circumstances the agent should say that she only claimed to believe an impossibility. In much the same way, when a mathematician discovers that one of his conjectures is false, and since if it is mathematically false it is impossible, he would say he only claimed that the conjecture was true. Odd as this proposal is, it is analogous to the widely accepted principle about knowing: if we claim to know P, and P turns out false, we do not say we used to know it, we say we were mistaken in so claiming.
Aristotelian essentialism is concerned with properties which Marcus defines in the context of a modal framework. One proposal is that a property is essential if something has it, not everything has it, if something has it then it has it necessarily, and it is not wholly individuating e.g. a natural kind property. It is otherwise claimed by Quine and others that modal logic or semantics is committed to essentialist truths. Marcus argues informally that there are interpretations of some modal systems in which all essentialist claims are false. Terence Parsons later formally proved this result.
An alternative to Tarskian (model theoretic) semantics is proposed for some uses where "the truth conditions for quantified formuli are given purely in terms of truth with no appeal to domains of interpretation". (Later called by others "truth value semantics".) She shows that the claim that such a semantics leads to contradictions is false. Such a semantics may be of interest for mathematics e.g. Hartry Field, or for fictional discourse. Objectual quantification is required for interpretation of identity and other metaphysical categories.
Books (written or edited)
- The Logical Enterprise, ed. with A. Anderson, R. Martin, Yale, 1995
- Logic, Methodology and Philosophy of Science, VII, eds. R. Barcan Marcus et al., North Holland, 1986
- Modalities: Philosophical Essays, Oxford University Press, 1993. Paperback; 1995 (contains many of Marcus's important papers)
- Published as Ruth Barcan Marcus - list by PhilPapers.
Awards and recognitions
- Guggenheim Fellow (1953)
- National Science Foundation Fellow (1963)
- Rockefeller Foundation Residency (Bellagio, 1973 and 1990)
- Center for Advanced Study in the Behavioral Sciences (1979)
- University of Edinburgh Fellow, Humanities Institute (1983)
- Wolfson College of Oxford University, Visiting Fellow (1985 and 1986)
- Clare Hall of Cambridge University, Visiting Fellow (1988)
- National Humanities Center, Mellon Fellow (1992–93)
- Fellow of the American Academy of Arts and Sciences(1977)
- Medal of the Collège de France (1986)
- Doctor of Humane Letters, honoris causa, University of Illinois at Chicago (1995)
- Wilbur Cross Medal, Yale University (2000)
- Lauener Prize in Analytic Philosophy, Lauener Foundation, 2007–08.
- Permanent Member of the Common Room, Clare Hall (1986– )
- Phi Beta Kappa (1941)
- Membre, Institut International de Philosophie, Presidente 1989–92, President Honoraire 1992–
- Quinn Prize, American Philosophical Association 2007, for service to the profession
- Dewey Lecture, APA, Dec 2009.
References and notes
- Dagfinn Føllesdal, Referential Opacity and Modal Logic, Routledge, 2014, p. 19.
- Ruth Barcan Marcus, Modalities: Philosophical Essays, Oxford University Press, 1993, p. x.
- The Dictionary of Modern American Philosophers. Thoemmes. 2005. doi:10.5040/9781350052444-0636. ISBN 9781350052444.
- Fox, Margalit (2012-03-13). "Ruth Barcan Marcus, Philosopher and Logician, Dies at 90". The New York Times. ISSN 0362-4331. Retrieved 2019-03-13.
- "Marcus, Ruth Barcan | Encyclopedia.com". www.encyclopedia.com. Retrieved 2019-03-13.
- Williamson, Timothy (2013). "In Memoriam: Ruth Barcan Marcus 1921–2012" (PDF). Bulletin of Symbolic Logic. 19 (01): 123–126. doi:10.2178/bsl.1901070. ISSN 1079-8986.
- "Leiter Reports: A Philosophy Blog: Timothy Williamson's Tribute to Ruth Barcan Marcus on the Occasion of Her Receipt of the Lauener Prize". leiterreports.typepad.com. Retrieved August 19, 2016.
- "Ruth Barcan Marcus | Jewish Women's Archive". jwa.org. Retrieved 2019-03-22.
- "Marcus, Ruth Barcan (1921—) | Encyclopedia.com". www.encyclopedia.com. Retrieved 2019-03-22.
- Craig, E. (ed.), Routledge Encyclopedia of Philosophy, vol. 8 (Abingdon-on-Thames: Routledge, 1998), p. 164.
- Timothy Williamson's Tribute to Ruth Barcan Marcus on the Occasion of Her Receipt of the Lauener Prize, Leiter Reports: A Philosophical Blog, October 14, 2008.
- "Neale Kripke | Stephen Neale - Academia.edu". academia.edu. Retrieved August 19, 2016.
- See "Moral Dilemmas and Consistency" (Journal of Philosophy, 1980).
- See "A Proposed Solution to a Puzzle About Belief" (Foundations of Analytic Philosophy in Midwest Studies, 1981) and "Rationality and Believing the Impossible" (The Journal of Philosophy, 1983 and elsewhere).
- Philosophical Review, 78 (1969).
- Encyclopedia of Jewish Women: Ruth Barcan Marcus
- NY Times Ruth Barcan Marcus, Philosopher-Logician, Dies at 90
- Woman, Fighter, Philosopher personal recollections of Marcus from philosopher Diana Raffman in The Stone (NY Times)
- In memoriam: Ruth Barcan Marcus in Yale News
- Ruth Barcan Marcus at the Mathematics Genealogy Project
- A Philosopher's Calling a 'philosophical autobiography' (available to download as a doc.) delivered at Yale as an APA 2009/10 John Dewey Lecture and later published in the Proceedings and Addresses of the American Philosophical Association.
- In Memoriam: Ruth Barcan Marcus 1921–2012 by Timothy Williamson in The Bulletin of Symbolic Logic
- MARCUS, RUTH BARCAN 2006 Encyclopedia of Philosophy entry (hosted at Encyclopedia.com)
- Marcus, Ruth Barcan (1921—) 2002 Women in World History: A Biographical Encyclopedia entry (hosted at Encyclopedia.com)
- Photograph of Ruth Marcus (then Ruth Barcan) c. 1940 (details of source and permissions )