The Philosopher
John Corcoran
The face
The background
- Nationality:
- American
- Schools:
- Aristotelian logic, Boolean logic, Logicism, Constructivism (mathematics), Deductivism, Formalism (mathematics), Platonism
- Branchs:
- Logic, History of logic, Philosophy of logic, Mathematical logic, Philosophy of mathematics, Epistemology, Ontology, Linguistics, Concatenation theory
- Period:
- Contemporary
The synopsis
John Corcoran (March 20, 1937 – January 8, 2021) was an American logician, philosopher, mathematician, and historian of logic. He is recognized for his philosophical explorations into the nature of inference, the connections between conditions and arguments, the distinctions between argument, deduction, and proof, the interplay between logic and epistemology, and the roles of proof theory and model theory in logic. His scholarly output includes numerous papers, many of which have been translated into various languages, and several have been reprinted. Corcoran's interpretation of Aristotle's Prior Analytics, developed independently and concurrently with Timothy Smiley, is praised for its fidelity to the original Greek text and historical context, serving as a basis for further research. He also made significant mathematical contributions concerning the definitional equivalence of formal character-string theories, which are foundational to logic, formal linguistics, and computer science. His academic career included positions at the University at Buffalo and the University of Pennsylvania, and he held visiting professorships at several other institutions. Corcoran's scholarly work spanned various historical periods and figures in logic, including Aristotle, Boole, Frege, and Tarski. He engaged deeply with the philosophy of logic, examining its nature, role in inquiry, conceptual structure, and its metaphysical and epistemological underpinnings. His mathematical logic encompassed propositional, modal, identity, syllogistic, and second-order logics, as well as model theory and string theory. In the philosophy of mathematics, he advocated a nuanced Platonism. Corcoran was also actively involved in the academic community, co-founding logic colloquia, serving on editorial boards, and organizing conferences.
The works
Three Logical Theories
Completeness of an Ancient Logic
Gaps Between Logical Theory and Mathematical practice
Meanings of Implication
Aristotle's Natural Deduction System
Remarks on Stoic Deduction
String Theory
Logical Structures of Ockham's Theory of Supposition
Crossley on Mathematical Logic
Categoricity
Boole's Criteria of Validity and Invalidity
Introduction and analytical index to Tarski, A. Logic, Semantics, Metamathematics
Contemporary Relevance of Ancient Logical Theory
Argumentations and Logic
Review of Alfred Tarski: Collected Papers
The Founding of Logic
Information-theoretic logic
Second-Order Logic
Aristotle's Prior Analytics and Boole's Laws of Thought
Schemata: the Concept of Schema in the History of Logic
C. I. Lewis: History and Philosophy of Logic
Schema
Review of Aristotle, Prior Analytics: Book I, Gisela Striker (translation and commentary)
The Absence of Multiple Universes of Discourse in the 1936 Tarski Consequence-Definition Paper
Existential Import Today: New Metatheorems; Historical, Philosophical, and Pedagogical Misconceptions
Deductions and Reductions Decoding Syllogistic Mnemonics
Aristotle's Demonstrative Logic
Aristotle's Logic at the University of Buffalo's Department of Philosophy