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Lucas Rosenblatt [23]Lucas Daniel Rosenblatt [1]
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Lucas Rosenblatt
University of Buenos Aires
Lucas Rosenblatt
CONICET (PhD)
  1.  66
    The Logics of Strict-Tolerant Logic.Eduardo Barrio, Lucas Rosenblatt & Diego Tajer - 2015 - Journal of Philosophical Logic 44 (5):551-571.
    Adding a transparent truth predicate to a language completely governed by classical logic is not possible. The trouble, as is well-known, comes from paradoxes such as the Liar and Curry. Recently, Cobreros, Egré, Ripley and van Rooij have put forward an approach based on a non-transitive notion of consequence which is suitable to deal with semantic paradoxes while having a transparent truth predicate together with classical logic. Nevertheless, there are some interesting issues concerning the set of metainferences validated by this (...)
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  2.  14
    Noncontractive Classical Logic.Lucas Rosenblatt - 2019 - Notre Dame Journal of Formal Logic 60 (4):559-585.
    One of the most fruitful applications of substructural logics stems from their capacity to deal with self-referential paradoxes, especially truth-theoretic paradoxes. Both the structural rules of contraction and the rule of cut play a crucial role in typical paradoxical arguments. In this paper I address a number of difficulties affecting noncontractive approaches to paradox that have been discussed in the recent literature. The situation was roughly this: if you decide to go substructural, the nontransitive approach to truth offers a lot (...)
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  3.  29
    Should the Non‐Classical Logician Be Embarrassed?Lucas Rosenblatt - forthcoming - Philosophy and Phenomenological Research.
    Non‐classical logicians do not typically reject classically valid logical principles across the board. In fact, they sometimes suggest that their preferred logic recovers classical reasoning in most circumstances. This idea has come to be known in the literature as ‘classical recapture’. Recently, classical logicians have raised various doubts about it. The main problem is said to be that no rigorous explanation has been given of how is it exactly that classical logic can be recovered. The goal of the paper is (...)
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  4.  56
    Capturing Naive Validity in the Cut-Free Approach.Eduardo Barrio, Lucas Rosenblatt & Diego Tajer - forthcoming - Synthese:1-17.
    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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  5.  13
    Maximal Non-Trivial Sets of Instances of Your Least Favorite Logical Principle.Lucas Rosenblatt - 2020 - Journal of Philosophy 117 (1):30-54.
    The paper generalizes Van McGee's well-known result that there are many maximal consistent sets of instances of Tarski's schema to a number of non-classical theories of truth. It is shown that if a non-classical theory rejects some classically valid principle in order to avoid the truth-theoretic paradoxes, then there will be many maximal non-trivial sets of instances of that principle that the non-classical theorist could in principle endorse. On the basis of this it is argued that the idea of classical (...)
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  6.  12
    Classical Recapture and Maximality.Lucas Rosenblatt - 2021 - Philosophical Studies 178 (6):1951-1970.
    The idea of classical recapture has played a prominent role for non-classical logicians. In the specific case of non-classical theories of truth, although we know that it is not possible to retain classical logic for every statement involving the truth predicate, it is clear that for many such statements this is in principle feasible, and even desirable. What is not entirely obvious or well-known is how far this idea can be pushed. Can the non-classical theorist retain classical logic for every (...)
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  7.  8
    Paradoxicality Without Paradox.Lucas Rosenblatt - forthcoming - Erkenntnis:1-20.
    It is not uncommon among theorists favoring a deviant logic on account of the semantic paradoxes to subscribe to an idea that has come to be known as ‘classical recapture’. The main thought underpinning it is that non-classical logicians are justified in endorsing many instances of the classically valid principles that they reject. Classical recapture promises to yield an appealing pair of views: one can attain naivety for semantic concepts while retaining classicality in ordinary domains such as mathematics. However, Julien (...)
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  8.  20
    On Structural Contraction and Why It Fails.Lucas Rosenblatt - 2019 - Synthese 198 (3):2695-2720.
    The goal of the paper is to discuss whether substructural non-contractive accounts of the truth-theoretic paradoxes can be philosophically motivated. First, I consider a number of explanations that have been offered to justify the failure of contraction and I argue that they are not entirely compelling. I then present a non-contractive theory of truth that I’ve proposed elsewhere. After looking at some of its formal properties, I suggest an explanation of the failure of structural contraction that is compatible with it.
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  9. 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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  10.  18
    Naive Validity, Internalization, and Substructural Approaches to Paradox.Lucas Rosenblatt - 2017 - Ergo: An Open Access Journal of Philosophy 4.
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  11.  6
    Contraction, Infinitary Quantifiers, and Omega Paradoxes.Lucas Rosenblatt & Bruno Ré - 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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  12. 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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  13.  13
    Naive Validity, Internalization, and Substructural Approaches to Paradox.Lucas Rosenblatt - 2017 - Ergo: An Open Access Journal of Philosophy 4.
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  14.  11
    Two-Valued Logics for Naive Truth Theory.Lucas Daniel Rosenblatt - 2015 - Australasian Journal of Logic 12 (1).
    It is part of the current wisdom that the Liar and similar semantic paradoxes can be taken care of by the use of certain non-classical multivalued logics. In this paper I want to suggest that bivalent logic can do just as well. This is accomplished by using a non-deterministic matrix to define the negation connective. I show that the systems obtained in this way support a transparent truth predicate. The paper also contains some remarks on the conceptual interest of such (...)
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  15.  58
    Solving Multimodal Paradoxes.Federico Pailos & Lucas Rosenblatt - 2015 - Theoria 81 (3):192-210.
    Recently, it has been observed that the usual type-theoretic restrictions are not enough to block certain paradoxes involving two or more predicates. In particular, when we have a self-referential language containing modal predicates, new paradoxes might appear even if there are type restrictions for the principles governing those predicates. In this article we consider two type-theoretic solutions to multimodal paradoxes. The first one adds types for each of the modal predicates. We argue that there are a number of problems with (...)
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  16.  21
    Non-Deterministic Conditionals and Transparent Truth.Federico Pailos & Lucas Rosenblatt - 2015 - Studia Logica 103 (3):579-598.
    Theories where truth is a naive concept fall under the following dilemma: either the theory is subject to Curry’s Paradox, which engenders triviality, or the theory is not trivial but the resulting conditional is too weak. In this paper we explore a number of theories which arguably do not fall under this dilemma. In these theories the conditional is characterized in terms of non-deterministic matrices. These non-deterministic theories are similar to infinitely-valued Łukasiewicz logic in that they are consistent and their (...)
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  17.  95
    The Knowability Argument and the Syntactic Type-Theoretic Approach.Lucas Rosenblatt - 2014 - Theoria : An International Journal for Theory, History and Fundations of Science 29 (2):201-221.
    Some attempts have been made to block the Knowability Paradox and other modal paradoxes by adopting a type-theoretic framework in which knowledge and necessity are regarded as typed predicates. The main problem with this approach is that when these notions are simultaneously treated as predicates, a new kind of paradox appears. I claim that avoiding this paradox either by weakening the Knowability Principle or by introducing types for both predicates is rather messy and unattractive. I also consider the prospect of (...)
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  18.  5
    Bilateralism and Invalidities.Lucas Rosenblatt - forthcoming - Tandf: Inquiry:1-30.
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  19. Bilateralism and Invalidities.Lucas Rosenblatt - 2021 - Inquiry: An Interdisciplinary Journal of Philosophy 64 (4):481-510.
    ABSTRACT There are many ways of understanding what it is for an argument to be valid. Although we usually identify the concept of validity with logical validity and, in turn, we typically take this to capture the notion of necessary preservation of truth in virtue of logical form, this is just one way in which validity can be explained. A different understanding of the notion of validity that has received some attention recently is based on the idea that an argument (...)
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  20.  7
    Dependencia e indeterminación en la lógica de segundo orden.Lucas Rosenblatt - 2011 - Cuadernos de Filosofía 57:31-50.
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  21.  6
    Definiciones implícitas y unicidad en el programa neologicista.Lucas Rosenblatt - 2014 - Dianoia 59 (72):03-24.
    En este trabajo presento un problema que afecta al programa neologicista que han defendido en varias ocasiones Crispin Wright y Bob Hale. En particular, argumento que Wright y Hale no han dado suficientes condiciones para separar las definiciones implícitas apropiadas como el principio de Hume de otras definiciones implícitas rivales como la aritmética de Peano de segundo orden. Sugiero, además, que esa tarea sólo puede realizarse adecuadamente si una de las condiciones propuestas es la condición de que toda definición implícita (...)
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  22.  9
    Expressing Consistency Consistently.Lucas Rosenblatt - 2021 - Thought: A Journal of Philosophy 10 (1):33-41.
    Thought: A Journal of Philosophy, EarlyView.
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  23. On the Possibility of a General Purge of Self-Reference.Lucas Rosenblatt - 2012 - Análisis Filosófico 32 (1):53-59.
    My aim in this paper is to gather some evident in favor of the view that a general purge of self-reference is possible. I do this by considering a modal-epistemic version of the Liar Paradox introduced by Roy Cook. Using yabloesque techniques, I show that it is possible to transform this circular paradoxical construction (and other constructions as well) into an infinitary construction lacking any sort of circularity. Moreover, contrary to Cook’s approach, I think that this can be done without (...)
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  24.  13
    Towards a Non-classical Meta-theory for Substructural Approaches to Paradox.Lucas Rosenblatt - forthcoming - Journal of Philosophical Logic:1-49.
    In the literature on self-referential paradoxes one of the hardest and most challenging problems is that of revenge. This problem can take many shapes, but, typically, it besets non-classical accounts of some semantic notion, such as truth, that depend on a set of classically defined meta-theoretic concepts, like validity, consistency, and so on. A particularly troubling form of revenge that has received a lot of attention lately involves the concept of validity. The difficulty lies in that the non-classical logician cannot (...)
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