David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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American Philosophical Quarterly 38 (2):115 - 135 (2001)
A new solution to the liar paradox is developed using the insight that it is illegitimate to even suppose (let alone assert) that a liar sentence has a truth-status (true or not) on the grounds that supposing this sentence to be true/not-true essentially defeats the telos of supposition in a readily identifiable way. On that basis, the paradox is blocked by restricting the Rule of Assumptions in Gentzen-style presentations of the sequent-calculus. The lesson of the liar is that not all assumptions are for free. One merit of this proposal is that it is free from the revenge problem.
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Ken Levy (2009). The Solution to the Surprise Exam Paradox. Southern Journal of Philosophy 47 (2):131-158.
Kirk Ludwig & Emil Badici (2007). The Concept of Truth and the Semantics of the Truth Predicate. Inquiry 50 (6):622-638.
Sven Rosenkranz & Arash Sarkohi (2006). Platitudes Against Paradox. Erkenntnis 65 (3):319 - 341.
Emil Badici & Kirk Ludwig (2007). The Concept of Truth and the Semantics of the Truth Predicate. Inquiry 50 (6):622 – 638.
Ivor Grattan-Guinness (2012). A New–Old Characterisation of Logical Knowledge. History and Philosophy of Logic 33 (3):245 - 290.
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