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Luca San Mauro
Università degli Studi di Roma La Sapienza
  1.  49
    On logicality and natural logic.Salvatore Pistoia-Reda & Luca San Mauro - 2021 - Natural Language Semantics 29 (3):501-506.
    In this paper we focus on the logicality of language, i.e. the idea that the language system contains a deductive device to exclude analytic constructions. Puzzling evidence for the logicality of language comes from acceptable contradictions and tautologies. The standard response in the literature involves assuming that the language system only accesses analyticities that are due to skeletons as opposed to standard logical forms. In this paper we submit evidence in support of alternative accounts of logicality, which reject the stipulation (...)
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  2.  21
    Universal Computably Enumerable Equivalence Relations.Uri Andrews, Steffen Lempp, Joseph S. Miller, Keng Meng Ng, Luca San Mauro & Andrea Sorbi - 2014 - Journal of Symbolic Logic 79 (1):60-88.
  3.  21
    Degrees of Bi-Embeddable Categoricity of Equivalence Structures.Nikolay Bazhenov, Ekaterina Fokina, Dino Rossegger & Luca San Mauro - 2019 - Archive for Mathematical Logic 58 (5-6):543-563.
    We study the algorithmic complexity of embeddings between bi-embeddable equivalence structures. We define the notions of computable bi-embeddable categoricity, \ bi-embeddable categoricity, and degrees of bi-embeddable categoricity. These notions mirror the classical notions used to study the complexity of isomorphisms between structures. We show that the notions of \ bi-embeddable categoricity and relative \ bi-embeddable categoricity coincide for equivalence structures for \. We also prove that computable equivalence structures have degree of bi-embeddable categoricity \, or \. We furthermore obtain results (...)
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  4.  39
    Trial and Error Mathematics I: Dialectical and Quasidialectical Systems.Jacopo Amidei, Duccio Pianigiani, Luca San Mauro, Giulia Simi & Andrea Sorbi - 2016 - Review of Symbolic Logic 9 (2):299-324.
  5.  5
    Trial and Error Mathematics II: Dialectical Sets and Quasidialectical Sets, Their Degrees, and Their Distribution Within the Class of Limit Sets.Jacopo Amidei, Duccio Pianigiani, Luca San Mauro & Andrea Sorbi - 2016 - Review of Symbolic Logic 9 (4):810-835.
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  6.  7
    Classifying equivalence relations in the Ershov hierarchy.Nikolay Bazhenov, Manat Mustafa, Luca San Mauro, Andrea Sorbi & Mars Yamaleev - 2020 - Archive for Mathematical Logic 59 (7-8):835-864.
    Computably enumerable equivalence relations received a lot of attention in the literature. The standard tool to classify ceers is provided by the computable reducibility \. This gives rise to a rich degree structure. In this paper, we lift the study of c-degrees to the \ case. In doing so, we rely on the Ershov hierarchy. For any notation a for a non-zero computable ordinal, we prove several algebraic properties of the degree structure induced by \ on the \ equivalence relations. (...)
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  7.  30
    Speech Acts in Mathematics.Marco Ruffino, Luca San Mauro & Giorgio Venturi - 2020 - Synthese 198 (10):10063-10087.
    We offer a novel picture of mathematical language from the perspective of speech act theory. There are distinct speech acts within mathematics, and, as we intend to show, distinct illocutionary force indicators as well. Even mathematics in its most formalized version cannot do without some such indicators. This goes against a certain orthodoxy both in contemporary philosophy of mathematics and in speech act theory. As we will comment, the recognition of distinct illocutionary acts within logic and mathematics and the incorporation (...)
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