David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
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In Petr Hájek, Luis Valdés-Villanueva & Dag Westerståhl (eds.), Logic, Methodology and Philosophy of Science. College Publications (2005)
Our topic is the notion of logical consequence: the link between premises and conclusions, the glue that holds together deductively valid argument. How can we understand this relation between premises and conclusions? It seems that any account begs questions. Painting with very broad brushtrokes, we can sketch the landscape of disagreement like this: “Realists” prefer an analysis of logical consequence in terms of the preservation of truth . “Anti-realists” take this to be unhelpful and o:er alternative analyses. Some, like Dummett, look to preservation of warrant to assert [9, 36]. Others, like Brandom , take inference as primitive, and analyse other notions in terms of it. There is plenty of disagreement on the “realist” side of the fence too. It is one thing to argue that logical consequence involves preservation of truth. It is another to explain how far truth must be preserved. Is the preservation essentially modal (in all circumstances ) or analytic (vouchsafed by..
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Jc Beall (2015). Free of Detachment: Logic, Rationality, and Gluts. Noûs 49 (2):410-423.
Mark Jago (2013). The Problem of Rational Knowledge. Erkenntnis (S6):1-18.
Jaroslav Peregrin (2006). Meaning as an Inferential Role. Erkenntnis 64 (1):1-35.
Colin R. Caret & Zach Weber (2015). A Note on Contraction-Free Logic for Validity. Topoi 34 (1):63-74.
Greg Restall (2012). A Cut-Free Sequent System for Two-Dimensional Modal Logic, and Why It Matters. Annals of Pure and Applied Logic 163 (11):1611-1623.
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