The universality of logic: On the connection between rationality and logical ability
Mind 110 (438):335-367 (2001)
| Abstract | I argue for the thesis (UL) that there are certain logical abilities that any rational creature must have. Opposition to UL comes from naturalized epistemologists who hold that it is a purely empirical question which logical abilities a rational creature has. I provide arguments that any creatures meeting certain conditions—plausible necessary conditions on rationality—must have certain specific logical concepts and be able to use them in certain specific ways. For example, I argue that any creature able to grasp theories must have a concept of conjunction subject to the usual introduction and elimination rules. I also deal with disjunction, conditionality and negation. Finally, I put UL to work in showing how it could be used to define a notion of logical obviousness that would be well suited to certain contexts—e.g. radical translation and epistemic logic—in which a concept of obviousness is often invoked. | |||||||||
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Andre Kukla (1991). Criteria of Rationality and the Problem of Logical Sloth. Philosophy of Science 58 (3):486-490.
Peter Schroeder-Heister (1984). Popper's Theory of Deductive Inference and the Concept of a Logical Constant. History and Philosophy of Logic 5 (1):79-110.
Peter Milne (1994). Classical Harmony: Rules of Inference and the Meaning of the Logical Constants. Synthese 100 (1):49 - 94.
Ioannis Trisokkas (2009). The Speculative Logical Theory of Universality. The Owl of Minerva 40 (2009):141-172.
Arnold Koslow (2007). Structuralist Logic: Implications, Inferences, and Consequences. Logica Universalis 1 (1).
Leah Savion & Raymundo Morado (2007). The Role of Logical Inference in Heuristic Rationality. The Proceedings of the Twenty-First World Congress of Philosophy 5:13-18.
Hartry Field (2009). What is the Normative Role of Logic? Aristotelian Society Supplementary Volume 83 (1):251-268.
Jeffrey Foss (1976). A Rule of Minimal Rationality: The Logical Link Between Beliefs and Values. Inquiry 19 (1-4):341 – 353.
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