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corcoran@buffalo.edu

• Faculty, State University of New York, Buffalo
• PhD, Johns Hopkins University, 1963.

• Logic and Philosophy of Logic
• Epistemology

• Philosophy of Mathematics
• Epistemology
• Metaphysics
• Logic and Philosophy of Logic
• Ancient Greek and Roman Philosophy
• Medieval and Renaissance Philosophy
• 19th Century Philosophy
• 20th Century Philosophy

My philosophical views

John Corcoran has been teaching logic at the University of Buffalo since 1970. His writings are on history and philosophy of logic, mathematical logic, epistemology, and linguistics. His most important contributions to history of logic concern his reconstruction of Aristotle’s logic as a natural deduction system. His work in history of logic also treats the Stoics, Ockham, Saccheri,Boole, Lewis, Church, Quine, and Tarski. He has worked in several areas of mathematical logic including proof theory, model theory, string theory, and variable-binding term-operators. He edited the 1983 second edition of Tarski’s 1956 LOGIC, SEMANTICS, METAMATHEMATICS. He also edited the 1993 second edition of the 1934 Cohen-Nagel INTRODUCTION TO LOGIC. His signature 1989 article “Argumentations and Logic”, which appeared in ARGUMENTATION, has been translated into Spanish, Portuguese, and Farsi. Corcoran headed the committee that organized the 1990 Alonzo Church Symposium and that successfully petitioned the University of Buffalo to award the Doctor Honoris Causa to Alonzo Church. Reprint requests: corcoran@buffalo.edu

41 items found. Sort by: publication yearfirst authorviewingsaddition date John Corcoran & José Miguel Sagüillo (2011). The Absence of Multiple Universes of Discourse in the 1936 Tarski Consequence-Definition Paper. History and Philosophy of Logic 32 (4):359 - 374. This paper discusses the history of the confusion and controversies over whether the definition of consequence presented in the 11-page 1936 Tarski consequence-definition paper is based on a monistic fixed-universe framework?like Begriffsschrift and Principia Mathematica. Monistic fixed-universe frameworks, common in pre-WWII logic, keep the range of the individual variables fixed as ?the class of all individuals?. The contrary alternative is that the definition is predicated on a pluralistic multiple-universe framework?like the 1931 Gödel incompleteness paper. A pluralistic multiple-universe framework recognizes multiple (...) universes of discourse serving as different ranges of the individual variables in different interpretations?as in post-WWII model theory. In the early 1960s, many logicians?mistakenly, as we show?held the ?contrary alternative? that Tarski 1936 had already adopted a Gödel-type, pluralistic, multiple-universe framework. We explain that Tarski had not yet shifted out of the monistic, Frege?Russell, fixed-universe paradigm. We further argue that between his Principia-influenced pre-WWII Warsaw period and his model-theoretic post-WWII Berkeley period, Tarski's philosophy underwent many other radical changes. (shrink) No categories Reading list   |  Discuss  |  Edit  |  Categorize  |     My bibliography  |   Export citation  | Other links: dx.doi.org   | Scholar | At my library | More options ... John Corcoran (2010). Peter Hare on the Proposition. Transactions of the Charles S. Peirce Society 46 (1):21-34. Peter H. Hare (1935-2008) developed informed, original views about the proposition: some published (Hare 1969 and Hare-Madden 1975); some expressed in conversations at scores of meetings of the Buffalo Logic Colloquium and at dinners following. The published views were expository and critical responses to publications by Curt J. Ducasse (1881-1969), a well-known presence in American logic, a founder of the Association for Symbolic Logic and its President for one term.1Hare was already prominent in the University of Buffalo's Philosophy Department in (...) 1969 when I was appointed. Soon after, he became Chair. As his Associate Chair from 1971to 1975, I spent many hours with him in Buffalo and on professional trips .. (shrink) Charles Sanders Peirce in 19th Century Philosophy Reading list   |  Discuss  |  Edit  |  Categorize  |     My bibliography  |   Export citation  | Other links: muse.jhu.edu jstor.org dx.doi.org   | Scholar | At my library | More options ... John Corcoran (2010). Review of Striker Translation of Aristotle's PRIOR ANALYTICS. [REVIEW] NOTRE DAME PHILOSOPHICAL REVIEWS. Aristotle in Ancient Greek Philosophy Reading list   |  Discuss  |  Edit  |  Categorize  |     My bibliography  |   Export citation | Scholar | At my library | More options ... John Corcoran (2009). Aristotle's Demonstrative Logic. History and Philosophy of Logic 30 (1):1-20. Ancient Greek Logic in Ancient Greek Philosophy Aristotelian Logic in Logic and Philosophy of Logic Reading list   |  Discuss  |  Edit  |  Categorize  |     My bibliography  |   Export citation  | Other links: dx.doi.org   | Scholar | At my library | More options ... John Corcoran, Schema. Stanford Encyclopedia of Philosophy. No categories Reading list   |  Discuss  |  Edit  |  Categorize  |     My bibliography  |   Export citation | Scholar | At my library | More options ... John Corcoran, Timothy Madigan & Alexander Razin (2008). Remembering Peter Hare 1935-2008. Philosophy Now. 66 (March/April):50-2. Philosophy, Miscellaneous Reading list   |  Discuss  |  Edit  |  Categorize  |     My bibliography  |   Export citation | Scholar | At my library | More options ... John Corcoran (2006). An Essay on Knowledge and Belief. International Journal of Decision Ethics (2):125-144. Defining Knowledge, Misc in Epistemology Epistemology, Misc in Epistemology The Gettier Problem in Epistemology Reading list   |  Discuss  |  Edit  |  Categorize  |     My bibliography  |   Export citation | Scholar | At my library | More options ... John Corcoran (2006). C. I. Lewis: History and Philosophy of Logic. Transactions of the Charles S. Peirce Society 42 (1):1-9. 20th Century Logic in 20th Century Philosophy Charles Sanders Peirce in 19th Century Philosophy Reading list   |  Discuss  |  Edit  |  Categorize  |     My bibliography  |   Export citation  | Other links: inscribe.iupress.org jstor.org dx.doi.org   | Scholar | At my library | More options ... John Corcoran (2006). Schemata: The Concept of Schema in the History of Logic. Bulletin of Symbolic Logic 12 (2):219-240. The syllogistic figures and moods can be taken to be argument schemata as can the rules of the Stoic propositional logic. Sentence schemata have been used in axiomatizations of logic only since the landmark 1927 von Neumann paper [31]. Modern philosophers know the role of schemata in explications of the semantic conception of truth through Tarski’s 1933 Convention T [42]. Mathematical logicians recognize the role of schemata in first-order number theory where Peano’s second-order Induction Axiom is approximated by Herbrand’s Induction-Axiom (...) Schema [23]. Similarly, in first-order set theory, Zermelo’s second-order Separation Axiom is approximated by Fraenkel’s first-order Separation Schema [17]. In some of several closely related senses, a schema is a complex system having multiple components one of which is a template-text or scheme-template, a syntactic string composed of one or more “blanks” and also possibly significant words and/or symbols. In accordance with a side condition the template-text of a schema is used as a “template” to specify a multitude, often infinite, of linguistic expressions such as phrases, sentences, or argument-texts, called instances of the schema. The side condition is a second component. The collection of instances may but need not be regarded as a third component. The instances are almost always considered to come from a previously identified language (whether formal or natural), which is often considered to be another component. This article reviews the often-conflicting uses of the expressions ‘schema’ and ‘scheme’ in the literature of logic. It discusses the different definitions presupposed by those uses. And it examines the ontological and epistemic presuppositions circumvented or mooted by the use of schemata, as well as the ontological and epistemic presuppositions engendered by their use. In short, this paper is an introduction to the history and philosophy of schemata. (shrink) History of Logic, Misc in Logic and Philosophy of Logic Metaphilosophy, Misc in Metaphilosophy Philosophical Progress in Metaphilosophy The Nature of Analytic Philosophy in Metaphilosophy Reading list   |  Discuss  |  Edit  |  Categorize  |     My bibliography  |   Export citation  | Other links: jstor.org projecteuclid.org acsu.buffalo.edu dx.doi.org   | Scholar | At my library | More options ... John Corcoran (2003). Aristotle's Prior Analytics and Boole's Laws of Thought. History and Philosophy of Logic. 24 (4):261-288. Prior Analytics by the Greek philosopher Aristotle (384 – 322 BCE) and Laws of Thought by the English mathematician George Boole (1815 – 1864) are the two most important surviving original logical works from before the advent of modern logic. This article has a single goal: to compare Aristotle’s system with the system that Boole constructed over twenty-two centuries later intending to extend and perfect what Aristotle had started. This comparison merits an article itself. Accordingly, this article does not discuss (...) many other historically and philosophically important aspects of Boole’s book, e.g. his confused attempt to apply differential calculus to logic, his misguided effort to make his system of ‘class logic’ serve as a kind of ‘truth-functional logic’, his now almost forgotten foray into probability theory, or his blindness to the fact that a truth-functional combination of equations that follows from a given truth-functional combination of equations need not follow truth-functionally. One of the main conclusions is that Boole’s contribution widened logic and changed its nature to such an extent that he fully deserves to share with Aristotle the status of being a founding figure in logic. By setting forth in clear and systematic fashion the basic methods for establishing validity and for establishing invalidity, Aristotle became the founder of logic as formal epistemology. By making the first unmistakable steps toward opening logic to the study of ‘laws of thought’—tautologies and laws such as excluded middle and non-contradiction—Boole became the founder of logic as formal ontology. (shrink) 19th Century Logic in 19th Century Philosophy Ancient Greek Logic in Ancient Greek and Roman Philosophy Aristotelian Logic in Logic and Philosophy of Logic Aristotle in Ancient Greek and Roman Philosophy Logics, Misc in Logic and Philosophy of Logic Reading list   |  Discuss  |  Edit  |  Categorize  |     My bibliography  |   Export citation  | Other links: informaworld.com tandfonline.com dx.doi.org   | Scholar | At my library | More options ... John Corcoran (1995). Information Recovery Problems. Theoria 10 (3):55-78. An information recovery problem is the problem of constructing a proposition containing the information dropped in going from a given premise to a given conclusion that folIows. The proposition(s) to beconstructed can be required to satisfy other conditions as well, e.g. being independent of the conclusion, or being “informationally unconnected” with the conclusion, or some other condition dictated by the context. This paper discusses various types of such problems, it presents techniques and principles useful in solving them, and it develops (...) algorithmic methods for certain classes of such problems. The results are then applied to classical number theory, in particular, to questions concerning possible refinements of the 1931 Gödel Axiom Set, e.g. whether any of its axioms can be analyzed into “informational atoms”. Two propositions are “informationally unconnected” [with each other] if no informative (nontautological) consequence of one also follows from the other. A proposition is an “informational atom” if it is informative but no information can be dropped from it without rendering it uninformative (tautological). Presentation, employment, and investigation of these two new concepts are prominent features of this paper. (shrink) Science, Logic, and Mathematics Reading list   |  Discuss  |  Edit  |  Categorize  |     My bibliography  |   Export citation | Scholar | At my library | More options ... John Corcoran (1994). The Founding of Logic. Ancient Philosophy 14 (1):9-24. Ancient Greek Logic in Ancient Greek and Roman Philosophy Aristotelian Logic in Logic and Philosophy of Logic History of Logic, Misc in Logic and Philosophy of Logic Reading list   |  Discuss  |  Edit  |  Categorize  |     My bibliography  |   Export citation | Scholar | At my library | More options ... John Corcoran (1991). REVIEW OF Alfred Tarski, Collected Papers, Vols. 1-4 (1986) Edited by Steven Givant and Ralph McKenzie. [REVIEW] MATHEMATICAL REVIEWS 91 (h):01101-4. Alfred Tarski in 20th Century Philosophy Logical Semantics and Logical Truth in Logic and Philosophy of Logic Mathematical Nominalism in Philosophy of Mathematics Mathematical Platonism in Philosophy of Mathematics Philosophy of Mathematics, Misc in Philosophy of Mathematics Reading list   |  Discuss  |  Edit  |  Categorize  |     My bibliography  |   Export citation | Scholar | At my library | More options ... John Corcoran (1989). Argumentations and Logic. ARGUMENTAION 3 (1):17-43. Logic and Philosophy of Logic, General Works in Logic and Philosophy of Logic Philosophy, General Works Reading list   |  Discuss  |  Edit  |  Categorize  |     My bibliography  |   Export citation | Scholar | At my library | More options ... John Corcoran (1986). Essay Review. History and Philosophy of Logic 7 (1):65-75. Logic and Philosophy of Logic Reading list   |  Discuss  |  Edit  |  Categorize  |     My bibliography  |   Export citation  | Other links: tandfonline.com dx.doi.org   | Scholar | At my library | More options ... Roderick M. Chisholm, John Corcoran, Jorge Gracia, L. S. Carrier, T. N. Pelegrinis, Alfred L. Ivry, D. S. Clarke, Leo Rauch, Robert Young, Michael J. Loux, Rita Nolan, Gerald Vision, E. D. Klemke, Ruth Anna Putnam, Edward S. Reed, Maurice Mandelbaum, John Wettersten & Rachel Shihor (1983). Book Reviews. Philosophia 13 (1-2). Roderick Chisholm in 20th Century Philosophy Reading list   |  Discuss  |  Edit  |  Categorize  |     My bibliography  |   Export citation | Scholar | At my library | More options ... John Corcoran & Michael Scanlan (1982). Review: The Contemporary Relevance of Ancient Logical Theory. [REVIEW] Philosophical Quarterly 32 (126):76 - 86. No categories Reading list   |  Discuss  |  Edit  |  Categorize  |     My bibliography  |   Export citation | Scholar | At my library | More options ... John Corcoran & Micheal Scanlan (1982). Critical Notice: Contemporary Relevance of Ancient Logical Theory. Philosophical Quarterly 32 (1):76-86. Ancient Greek Logic in Ancient Greek Philosophy Logic and Philosophy of Logic, General Works in Logic and Philosophy of Logic Reading list   |  Discuss  |  Edit  |  Categorize  |     My bibliography  |   Export citation | Scholar | At my library | More options ... John Corcoran (1980). Categoricity. History and Philosophy of Logic 1 (1):187-207. After a short preface, the first of the three sections of this paper is devoted to historical and philosophic aspects of categoricity. The second section is a self-contained exposition, including detailed definitions, of a proof that every mathematical system whose domain is the closure of its set of distinguished individuals under its distinguished functions is categorically characterized by its induction principle together with its true atoms (atomic sentences and negations of atomic sentences). The third section deals with applications especially those (...) involving the distinction between characterizing a system and axiomatizing the truths of a system. (shrink) History of Logic, Misc in Logic and Philosophy of Logic Logic and Philosophy of Logic, General Works in Logic and Philosophy of Logic Model Theory in Logic and Philosophy of Logic Reading list   |  Discuss  |  Edit  |  Categorize  |     My bibliography  |   Export citation  | Other links: tandfonline.com dx.doi.org   | Scholar | At my library | More options ... John Corcoran & Susan Wood (1980). Boole's Criteria for Validity and Invalidity. Notre Dame Journal of Formal Logic 21 (4):609-638. Logic and Philosophy of Logic Reading list   |  Discuss  |  Edit  |  Categorize  |     My bibliography  |   Export citation  | Other links: dx.doi.org   | Scholar | At my library | More options ... John Corcoran & Stanley Ziewacz (1979). Identity Logics. Notre Dame Journal of Formal Logic 20 (4):777-784. Logic and Philosophy of Logic Reading list   |  Discuss  |  Edit  |  Categorize  |     My bibliography  |   Export citation  | Other links: dx.doi.org   | Scholar | At my library | More options ... John Corcoran & Stewart Shapiro (1978). What is Mathematical Logic? Philosophia 8 (1):79-94. Introductions to Logic in Logic and Philosophy of Logic Mathematical Logic in Formal Sciences Reading list   |  Discuss  |  Edit  |  Categorize  |     My bibliography  |   Export citation  | Other links: springerlink.com dx.doi.org   | Scholar | At my library | More options ... John Corcoran & Stewart Shapiro (1976). Book Review:What Is Mathematical Logic? John N. Crossley. Philosophy of Science 43 (2):301-. Science, Logic, and Mathematics Reading list   |  Discuss  |  Edit  |  Categorize  |     My bibliography  |   Export citation  | Other links: dx.doi.org   | Scholar | At my library | More options ... John Corcoran (1974). Ancient Logic and its Modern Interpretations. Boston,Reidel. Ancient Greek Logic in Ancient Greek Philosophy $142.14 used   $142.18 new   $142.21 direct from Amazon   Amazon page Reading list   |  Discuss  |  Edit  |  Categorize  |     My bibliography  |   Export citation | Scholar | At my library | More options ... John Corcoran (1974). Aristotelian Syllogisms: Valid Arguments or True Universalized Conditionals? Mind 83 (330):278-281. Conditionals in Philosophy of Language Reading list   |  Discuss  |  Edit  |  Categorize  |     My bibliography  |   Export citation  | Other links: jstor.org mind.oxfordjournals.org dx.doi.org   | Scholar | At my library | More options ... John Corcoran, William Frank & Michael Maloney (1974). String Theory. Journal of Symbolic Logic 39 (4):625-637. For each $n > 0$ , two alternative axiomatizations of the theory of strings over n alphabetic characters are presented. One class of axiomatizations derives from Tarski's system of the Wahrheitsbegriff and uses the n characters and concatenation as primitives. The other class involves using n character-prefixing operators as primitives and derives from Hermes' Semiotik. All underlying logics are second order. It is shown that, for each n, the two theories are synonymous in the sense of deBouvere. It is further (...) shown that each member of one class is synonymous with each member of the other class; thus that all of the theories are synonymous with each other and with Peano arithmetic. Categoricity of Peano arithmetic then implies categoricity of each of the above theories. (shrink) String Theory in Philosophy of Physical Science Reading list   |  Discuss  |  Edit  |  Categorize  |     My bibliography  |   Export citation  | Other links: jstor.org   | Scholar | At my library | More options ... George Weaver & John Corcoran (1974). Logical Consequence in Modal Logic. II. Some Semantic Systems for ${\Rm S}4$. Notre Dame Journal of Formal Logic 15 (3):370-378. Modal and Intensional Logic in Logic and Philosophy of Logic Reading list   |  Discuss  |  Edit  |  Categorize  |     My bibliography  |   Export citation  | Other links: dx.doi.org   | Scholar | At my library | More options ... John Corcoran (1973). A Mathematical Model of Aristotle's Syllogistic. Archiv für Geschichte Der Philosophie 55 (2):191-219. Ancient Greek Logic in Ancient Greek Philosophy Aristotle in Ancient Greek Philosophy Reading list   |  Discuss  |  Edit  |  Categorize  |     My bibliography  |   Export citation  | Other links: dx.doi.org   | Scholar | At my library | More options ... John Corcoran (1973). Meanings of Implication. Dialogos 9 (1):59-76. Logical Consequence and Entailment in Logic and Philosophy of Logic Logical Semantics and Logical Truth in Logic and Philosophy of Logic Reading list   |  Discuss  |  Edit  |  Categorize  |     My bibliography  |   Export citation | Scholar | At my library | More options ... John Corcoran (1973). Book Review:Philosophy of Logic Hilary Putnam. Philosophy of Science 40 (1):131-. Science, Logic, and Mathematics Reading list   |  Discuss  |  Edit  |  Categorize  |     My bibliography  |   Export citation  | Other links: dx.doi.org   | Scholar | At my library | More options ... John Corcoran & David Levin (1973). Book Review:Conceptual Notation and Related Articles Gottlob Frege, Terrell Ward Bynum. Philosophy of Science 40 (3):454-. Gottlob Frege in 20th Century Philosophy Science, Logic, and Mathematics Reading list   |  Discuss  |  Edit  |  Categorize  |     My bibliography  |   Export citation  | Other links: dx.doi.org   | Scholar | At my library | More options ... John Corcoran & John Richards (1973). Book Review:The Theory of Logical Types Irving M. Copi. Philosophy of Science 40 (2):319-. Science, Logic, and Mathematics Reading list   |  Discuss  |  Edit  |  Categorize  |     My bibliography  |   Export citation  | Other links: dx.doi.org   | Scholar | At my library | More options ... John Corcoran & Susan B. Wood (1973). The Switches "Paradox" and the Limits of Propositional Logic. Philosophy and Phenomenological Research 34 (1):102-108. Propositional Logic in Logic and Philosophy of Logic Reading list   |  Discuss  |  Edit  |  Categorize  |     My bibliography  |   Export citation  | Other links: jstor.org   | Scholar | At my library | More options ... John Corcoran (1972). Completeness of an Ancient Logic. Journal of Symbolic Logic 37 (4):696-702. Logic and Philosophy of Logic Reading list   |  Discuss  |  Edit  |  Categorize  |     My bibliography  |   Export citation  | Other links: jstor.org   | Scholar | At my library | More options ... John Corcoran (1972). Conceptual Structure of Classical Logic. Philosophy and Phenomenological Research 33 (1):25-47. No categories Reading list   |  Discuss  |  Edit  |  Categorize  |     My bibliography  |   Export citation  | Other links: jstor.org   | Scholar | At my library | More options ... John Corcoran (1972). Book Review:Hilbert Constance Reid. Philosophy of Science 39 (1):106-. Science, Logic, and Mathematics Reading list   |  Discuss  |  Edit  |  Categorize  |     My bibliography  |   Export citation  | Other links: dx.doi.org   | Scholar | At my library | More options ... John Corcoran (1972). Book Review:Foundations of Mathematics William S. Hatcher. Philosophy of Science 39 (1):88-. Science, Logic, and Mathematics Reading list   |  Discuss  |  Edit  |  Categorize  |     My bibliography  |   Export citation  | Other links: dx.doi.org   | Scholar | At my library | More options ... John Corcoran (1972). Book Review:Philosophy of Logic Willard Van Orman Quine. Philosophy of Science 39 (1):97-. Science, Logic, and Mathematics W. V. O. Quine in 20th Century Philosophy Reading list   |  Discuss  |  Edit  |  Categorize  |     My bibliography  |   Export citation  | Other links: dx.doi.org   | Scholar | At my library | More options ... John Corcoran (1972). Strange Arguments. Notre Dame Journal of Formal Logic 13 (2):206-210. Logic and Philosophy of Logic Reading list   |  Discuss  |  Edit  |  Categorize  |     My bibliography  |   Export citation  | Other links: dx.doi.org   | Scholar | At my library | More options ... John Corcoran (1969). Three Logical Theories. Philosophy of Science 36 (2):153-177. This study concerns logical systems considered as theories. By searching for the problems which the traditionally given systems may reasonably be intended to solve, we clarify the rationales for the adequacy criteria commonly applied to logical systems. From this point of view there appear to be three basic types of logical systems: those concerned with logical truth; those concerned with logical truth and with logical consequence; and those concerned with deduction per se as well as with logical truth and logical (...) consequence. Adequacy criteria for systems of the first two types include: effectiveness, soundness, completeness, Post completeness, "strong soundness" and strong completeness. Consideration of a logical system as a theory of deduction leads us to attempt to formulate two adequacy criteria for systems of proofs. The first deals with the concept of rigor or "gaplessness" in proofs. The second is a completeness condition for a system of proofs. An historical note at the end of the paper suggests a remarkable parallel between the above hierarchy of systems and the actual historical development of this area of logic. (shrink) Science, Logic, and Mathematics Reading list   |  Discuss  |  Edit  |  Categorize  |     My bibliography  |   Export citation  | Other links: jstor.org journals.uchicago.edu dx.doi.org   | Scholar | At my library | More options ... John Corcoran & George Weaver (1969). Logical Consequence in Modal Logic: Natural Deduction in ${\Rm S}5$. Notre Dame Journal of Formal Logic 10 (4):370-384. Modal and Intensional Logic in Logic and Philosophy of Logic Reading list   |  Discuss  |  Edit  |  Categorize  |     My bibliography  |   Export citation  | Other links: dx.doi.org   | Scholar | At my library | More options ...

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