Inference and Logic
Course Description
This course centers around two key questions: What is an inference? And, what is logic? Working through a draft manuscript on these topics, we'll explore a view which claims that answers to these questions are intimately related. In particular, it argues that logical puzzles provide invaluable illumination of the character of deductive inference, and that logic is fundamentally a certain constrained study of good deductive inference. Subtopics will (hopefully) include: the normativity of logic, the nature of good reasoning and the role of logic in regulating it, the constraints that logical impossibility may impose on the bounds of cognition, the role of a 'taking' or awareness condition in inference, the threat of Carrollian regress, and the grounds for and against taking Tarskian model theoretic machinery to model logical truth and consequence.
Syllabus
Handouts
Readings
- In What Sense (if Any) is Logic Normative for Thought?, MacFarlane
- Logic and Reasoning, Harman
- What is the Normative Role of Logic?, Field
- Logic isn't Normative, Russell
- Consequence and Normative Guidance, Steinberger
- IFL, Chs.1-3, Shaw
- The Search for Logically Alien Thought, Conant
- IFL, Ch.4, Shaw
- What is Inference, Boghossian
- What the Tortoise said to Achilles, Carroll
- Comment On Paul Boghossian, Wright
- Comments on Boghossian, Broome
- Against Boghossian, Wright and Broome on Inference, Hlobil
- What is an Inference?, Neta
- Inferring by Attaching Force, Hlobil
- The Adoption Problem (slides), Padró, et al.
- IFL, Ch.5, Shaw
- Inference as Consciousness of Necessity, Marcus
- Reflections on Consequence, Etchemendy
- What is Modeled by Truth in All Models?, MacFarlane
- Are there Model-Theoretic Logical Truths that are not Logically True, Gómez-Torrente
- IFL, Ch.6, Shaw
- Models and Logical Consequence, Sagi
- Two Problems with Tarskis Theory of Consequence, McGee
- Logical and Analytic Truths that are Not Necessary, Zalta
- Actuality, Necessity, and Logical Truth, Hanson
- Lessons from the Logic of Demonstratives, Russell
- IFL, Ch.7, Shaw
- Anti-exceptionalism about Logic, Hjortland
- The Justification of the Basic Laws of Logic, Russell
- Semantic Paradoxes and Abductive Methodology, Williamson
- The Limits of Abductivism about Logic, Hlobil
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