5 found
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  1. Recapture Results and Classical Logic.Camillo Fiore & Lucas Rosenblatt - 2023 - Mind 132 (527):762–788.
    An old and well-known objection to non-classical logics is that they are too weak; in particular, they cannot prove a number of important mathematical results. A promising strategy to deal with this objection consists in proving so-called recapture results. Roughly, these results show that classical logic can be used in mathematics and other unproblematic contexts. However, the strategy faces some potential problems. First, typical recapture results are formulated in a purely logical language, and do not generalize nicely to languages containing (...)
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  2. Capturing naive validity in the Cut-free approach.Eduardo Barrio, Lucas Rosenblatt & Diego Tajer - 2016 - Synthese 199 (Suppl 3):707-723.
    Rejecting the Cut rule has been proposed as a strategy to avoid both the usual semantic paradoxes and the so-called v-Curry paradox. In this paper we consider if a Cut-free theory is capable of accurately representing its own notion of validity. We claim that the standard rules governing the validity predicate are too weak for this purpose and we show that although it is possible to strengthen these rules, the most obvious way of doing so brings with it a serious (...)
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  3. Contraction, Infinitary Quantifiers, and Omega Paradoxes.Bruno Da Ré & Lucas Rosenblatt - 2018 - Journal of Philosophical Logic 47 (4):611-629.
    Our main goal is to investigate whether the infinitary rules for the quantifiers endorsed by Elia Zardini in a recent paper are plausible. First, we will argue that they are problematic in several ways, especially due to their infinitary features. Secondly, we will show that even if these worries are somehow dealt with, there is another serious issue with them. They produce a truth-theoretic paradox that does not involve the structural rules of contraction.
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  4. On Pathological Truths.Damian Szmuc & Lucas Rosenblatt - 2014 - Review of Symbolic Logic 7 (4):601-617.
    In Kripke’s classic paper on truth it is argued that by adding a new semantic category different from truth and falsity it is possible to have a language with its own truth predicate. A substantial problem with this approach is that it lacks the expressive resources to characterize those sentences which fall under the new category. The main goal of this paper is to offer a refinement of Kripke’s approach in which this difficulty does not arise. We tackle this characterization (...)
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  5. Paradoxicality in Kripke’s theory of truth.Lucas Rosenblatt & Camila Gallovich - 2022 - Synthese 200 (2):1-23.
    A lot has been written on solutions to the semantic paradoxes, but very little on the topic of general theories of paradoxicality. The reason for this, we believe, is that it is not easy to disentangle a solution to the paradoxes from a specific conception of what those paradoxes consist in. This paper goes some way towards remedying this situation. We first address the question of what one should expect from an account of paradoxicality. We then present one conception of (...)
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