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Lavinia Picollo [6]Lavinia María Picollo [1]
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Lavinia Maria Picollo
Universidad de Buenos Aires (UBA)
  1.  33
    Reference in Arithmetic.Lavinia Picollo - 2018 - Review of Symbolic Logic 11 (3):573-603.
    Self-reference has played a prominent role in the development of metamathematics in the past century, starting with Gödel’s first incompleteness theorem. Given the nature of this and other results in the area, the informal understanding of self-reference in arithmetic has sufficed so far. Recently, however, it has been argued that for other related issues in metamathematics and philosophical logic a precise notion of self-reference and, more generally, reference is actually required. These notions have been so far elusive and are surrounded (...)
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  2.  12
    Disquotation and Infinite Conjunctions.Lavinia Picollo & Thomas Schindler - 2018 - Erkenntnis 83 (5):899-928.
    One of the main logical functions of the truth predicate is to enable us to express so-called ‘infinite conjunctions’. Several authors claim that the truth predicate can serve this function only if it is fully disquotational, which leads to triviality in classical logic. As a consequence, many have concluded that classical logic should be rejected. The purpose of this paper is threefold. First, we consider two accounts available in the literature of what it means to express infinite conjunctions with a (...)
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  3.  21
    Disquotation and Infinite Conjunctions.Lavinia Picollo & Thomas Schindler - 2017 - Erkenntnis:1-30.
    One of the main logical functions of the truth predicate is to enable us to express so-called ‘infinite conjunctions’. Several authors claim that the truth predicate can serve this function only if it is fully disquotational, which leads to triviality in classical logic. As a consequence, many have concluded that classical logic should be rejected. The purpose of this paper is threefold. First, we consider two accounts available in the literature of what it means to express infinite conjunctions with a (...)
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  4.  37
    Notes on Ω-Inconsistent Theories of Truth in Second-Order Languages.Eduardo Barrio & Lavinia Picollo - 2013 - Review of Symbolic Logic 6 (4):733-741.
    It is widely accepted that a theory of truth for arithmetic should be consistent, but -consistency is a highly desirable feature for such theories. The point has already been made for first-order languages, though the evidence is not entirely conclusive. We show that in the second-order case the consequence of adopting -inconsistent theories of truth are considered: the revision theory of nearly stable truth T # and the classical theory of symmetric truth FS. Briefly, we present some conceptual problems with (...)
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  5.  30
    Yablo's Paradox in Second-Order Languages: Consistency and Unsatisfiability.Lavinia María Picollo - 2013 - Studia Logica 101 (3):601-617.
    Stephen Yablo [23,24] introduces a new informal paradox, constituted by an infinite list of semi-formalized sentences. It has been shown that, formalized in a first-order language, Yablo’s piece of reasoning is invalid, for it is impossible to derive falsum from the sequence, due mainly to the Compactness Theorem. This result casts doubts on the paradoxical character of the list of sentences. After identifying two usual senses in which an expression or set of expressions is said to be paradoxical, since second-order (...)
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  6.  41
    The Old-Fashioned Yablo Paradox.Lavinia Picollo - 2012 - Análisis Filosófico 32 (1):21-29.
    The Yablo Paradox’ main interest lies on its prima facie non-circular character, which many have doubted, specially when formulated in an extension of the language of firstorder arithmetic. Particularly, Priest (1997) and Cook (2006, forthcoming) provided contentious arguments in favor of circularity. My aims in this note are (i) to show that the notion of circularity involved in the debate so far is defective, (ii) to provide a new sound and useful partial notion of circularity and (iii) to show there (...)
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  7.  10
    La inocencia del deflacionismo.Lavinia Picollo - 2010 - Manuscrito 33 (2):425-443.
    De acuerdo con Shapiro , el deflacionismo debe buscar la conservatividad de sus teorías de la verdad sobre cualquier teoría base. De lo contrario, la noción de verdad que ellas presentan daría lugar a más afirmaciones acerca de la ontología de la teoría base que ésta misma. Así, la verdad tendría poder explicativo y, por tanto, sería en algún sentido una noción metafísicamente sustantiva. El objetivo del artículo es rechazar esta tesis para algunas teorías de la verdad cuyos axiomas son (...)
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