17 found
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  1.  10
    Seventeenth-Century Scholastic Syllogistics. Between Logic and Mathematics?Miroslav Hanke - 2020 - Review of Symbolic Logic 13 (2):219-248.
    The seventeenth century can be viewed as an era of innovation in the formal and natural sciences and of paradigmatic diversity in philosophy. Within this environment, the present study focuses on scholastic logic and, in particular, syllogistic. In seventeenth-century scholastic logic two different approaches to logic can be identified, one represented by the Dominicans Báñez, Poinsot, and Comas del Brugar, the other represented by the Jesuits Hurtado, Arriaga, Oviedo, and Compton. These two groups of authors can be contrasted in three (...)
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  2.  16
    Paul of Venice and Realist Developments of Roger Swyneshed's Treatment of Semantic Paradoxes.Miroslav Hanke - 2017 - History and Philosophy of Logic 38 (4):299-315.
    In the 1330s Roger Swyneshed formulated a solution to semantic paradoxes based on the distinction between correspondence with reality and self-falsification as truth-making factors. Since Swyneshed states that some valid inferences are not truth-preserving, his view implies the question of the general definition of validity which he does not address explicitly. Logical works attributed to Paul of Venice contain developments of Swyneshed's contextualist semantics substantially modified by the assumption that sentential meanings are objective propositional entities. The main goals of this (...)
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  3.  18
    Jesuit Probabilistic Logic Between Scholastic and Academic Philosophy.Miroslav Hanke - 2019 - History and Philosophy of Logic 40 (4):355-373.
    There is a well-documented paradigm-shift in eighteenth century Jesuit philosophy and science, at the very least in Central Europe: traditional scholastic version of Aristotelianism were replaced by early modern rationalism and early modern science and mathematics. In the field of probability, this meant that the traditional Jesuit engagement with probability, uncertainty, and truthlikeness could translate into mathematical language, and can be analysed against the background of the accounts of probability, pre-mathematical Jesuit logic, Wolff's conceptual analysis, and Bernoullian mathematisation. The works (...)
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  4.  29
    Jan Dullaert of Ghent on the Foundations of Propositional Logic.Miroslav Hanke - 2017 - Vivarium 55 (4):273-306.
    _ Source: _Volume 55, Issue 4, pp 273 - 306 Jan Dullaert was a direct student of John Mair and a teacher of Gaspar Lax, Juan de Celaya, and Juan Luis Vives. His commentary on Aristotle’s _Peri Hermeneias_ addresses the foundations of propositional logic, including a detailed analysis of conditionals and the semantics of logical connectives. Dullaert’s propositional logic is limited to the immediate implications of the semantics of these connectives, i.e., their introduction and elimination rules. In the same context, (...)
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  5.  29
    John Mair on Semantic Paradoxes.Miroslav Hanke - 2013 - Studia Neoaristotelica 10 (1):50-87.
    John Mair was an influential post-medieval scholar. This paper focuses on his Tractatus insolubilium, in which he proposed semantic analysis of self-referential phenomena, in particular on his solution to alethic and correspondence paradoxes and his treatment of their general semantic aspects as well as particular applications. His solution to paradoxes is based on the so-called “network evaluation”, i.e. on a semantics which defines the concepts of truth and correspondence with reality in contextual terms. Consequently, the relation between semantic valuation, synonymy (...)
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  6.  28
    Trinitární Paralogismy, Univerzálnost Logiky a Vyústění Středověké Nominalistické Tradice.Miroslav Hanke - 2015 - Studia Neoaristotelica 12 (3):45-75.
    The so-called “Trinitarian paralogisms” are apparently legitimate instances of syllogistic inference-schemes with premises and conclusions containing expressions of the language of the Trinity doctrine, which fail to be truth- or acceptability-preserving. The logical problem of the Trinity splits into two levels of analysis. First, the technical aspects of Trinitarian paralogisms are analysed in terms of logical innovations in theories of “suppositio” and “distributio”. Second, the philosophical aspect of Trinitarian paralogisms translates into the question of formality as general applicability of logic. (...)
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  7.  24
    Analysis of Self-Reference in Martin Le Maistre’s Tractatus Consequentiarum.Miroslav Hanke - 2015 - Studia Neoaristotelica 12 (1):57-94.
    Martin Le Maistre’s Tractatus consequentiarum presents an analysis of self-reference based upon the principle that sentential meaning is closed under entailment. A semantics based on such principle off ers a conservative treatment of self-referential sentences compatible with the principle of bivalence and classical rules of inference. Le Maistre’s crucial arguments are formally reconstructed in the framework recently defended by Stephen Read and Catarina Dutilh Novaes as part of an analysis of Bradwardinian semantics.
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  8.  24
    Paradox Lháře Ve Světle Scholastických Klasifikací.Miroslav Hanke - 2014 - Studia Neoaristotelica 11 (3):73-96.
    The systematic focus of twentieth century logic and analytic philosophy on semantic paradoxes prompted the rediscovery of the nearly six hundred years of scholastic research devoted to paradoxes. The present paper focuses on the following three branches of scholastic logic: 1. definitions of semantic paradox; 2. basic strategies of solving paradoxes; 3. scholastic classifications of solutions to paradoxes. Scholastic logicians analysed paradoxes from threebasic points of view: the point of view of paradox-generating inferences, the point of view of paradoxical sentence, (...)
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  9.  27
    The Bricot–Mair Dispute: Scholastic Prolegomena to Non-Compositional Semantics.Miroslav Hanke - 2014 - History and Philosophy of Logic 35 (2):148-166.
    From a general semantic point of view, Thomas Bricot and John Mair are proponents of the solution to semantic paradoxes based on appreciation of the contextuality of truth, who differ in their approach to the relations of logical consequence and contradiction. The core of the study is the analysis of Mair's criticism of Bricot presented in the sixth quaestio of his Tractatus insolubilium where the consequences of non-compositional semantics for the concepts of synonymy and logical form are addressed. The polemic (...)
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  10.  16
    Cajetan of Thiene on the Logic of Paradox.Miroslav Hanke - 2016 - Studia Neoaristotelica 13 (1):71-95.
    In the first half of the fifteenth century, the Italian logician, natural philosopher, and doctor of medicine Cajetan of Thiene wrote a commentary on William Heytesbury’s Regulae solvendi sophismata, which later became a part of the printed edition of Heytesbury’s treatises. Several late fifteenth century reprints sustained its circulation and further influence. Following Heytesbury, Cajetan listed four alternative treatments of paradoxes, where the first three were formulated in general logico-semantic terms and the last one in terms of obligationes. The present (...)
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  11.  33
    The Simple Paradoxes of Validity and Bradwardinian-Buridanian Semantics: A Journal of Analytic Scholasticism.Miroslav Hanke - 2010 - Studia Neoaristotelica 7 (2):116-160.
    This paper deals with the simple paradoxes of validity and with the possibility of solving them in terms of Bradwardinian-Buridanian semantics. The paradoxes of validity as conceived here are cases of semantic pathology, which result due to the use of terms signifying the validity of inference. Semantic paradoxes are a semantico-epistemological phenomenon which is a symptom of the need to revise several apparently acceptable semantic assumptions. The analysis of possible solutions to the paradoxes focuses on Bradwardinian-Buridanian semantics and as a (...)
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  12.  19
    The Analysis of Deductive Validity in Martin Le Maistre’s Tractatus Consequentiarum.Miroslav Hanke - 2014 - American Catholic Philosophical Quarterly 88 (1):29-46.
    The paper focuses on the concepts of truth, truth-making and truth-preservation and their role in defining deductive validity as analysed by the late-medieval nominalist scholar Martin Le Maistre in his Tractatus consequentiarum. This treatise, examined from the point of view of fourteenth-century British and Parisian influences, can be characterised as a critical adoption of the previous logical tradition and as the analysis of validity in term of truth-preservation. Part of this analysis is a study of self-referential phenomena, in particular, of (...)
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  13.  26
    Opusculum insolubilium v kontextu scholastické logiky Analýza traktátu a pracovní edice.Miroslav Hanke - 2012 - Studia Neoaristotelica 9 (3):63-92.
    Opusculum insolubilium is an anonymous sixteenth-century British logical treatise dealing with the so-called “insolubles”, i.e. self-reflexive paradoxical propositions. It summarises the fundamental principles of the approach proposed by Roger Swyneshed in the fourteenth century, which became popular in the British academic circles during the fifteenth century. The present paper has two basic aims: to contrive a modern edition of this treatise which could be used fora further research in post-mediaeval scholastic logic, and to provide elementary information about its content and (...)
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  14.  2
    Scholastická Logika „Vědění“ I.Miroslav Hanke - 2018 - Studia Neoaristotelica 15 (5):127-205.
    Fourteenth-century logic gave rise, among others, to the genre De scire et dubitare, which offered a unified framework for discussing different forms of epistemic sophisms by utilising the underlying systems of epistemic logic. One of the problems introduced in this context already by the founding father of this genre, William Heytesbury, was the so-called axiom of positive introspection, i.e., the principle that an agent who knows that something is the case, knows that she knows that it is the case. Owing (...)
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  15.  20
    Paradoxy, Pravdivost a Korespondence V Sémantice Rogera Swynesheda.Miroslav Hanke - 2011 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 18 (1):40-61.
    The present paper is concerned with an exposé of the basic general-semantic theses presented in the tract called “De insolubilibus” written by the 14th century British logician Roger Swyneshed. Swyneshed‘s semantics is analysed as a highly specific theory of truth, correspondence and facts . Swyneshed’s theory revises the correspondence theory of truth and rejects the principle of bivalence, while offering the solution to two different types of paradoxes . As it is usual for theories of this kind, Swyneshed’s semantics has (...)
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  16.  21
    Implied-Meaning Analysis of the Currian Conditional.Miroslav Hanke - 2013 - History and Philosophy of Logic 34 (4):367 - 380.
    Expanding on the recent research of Stephen Read and Catarina Dutilh Novaes concerning Thomas Bradwardine's theory of truth, the present paper makes an effort to analyse the Currian conditional in terms of the so-called ?Bradwardine principle?, i.e. the principle that meaning is closed under entailment. Based upon two possible applications of this approach, alternative solutions to the issues of semantic pathology and trivialisation of deductive systems are presented.
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  17.  1
    Scholastická Logika „Vědění“ II.Miroslav Hanke - 2018 - Studia Neoaristotelica 15 (6):207-262.
    Further development of the research on the fourteenth-century logic of iterated modalities leads to further exploration in fifteenth- and sixteenth-century Italian scholasticism, in particular, the contributions of Paul of Venice and his followers. The research confirms the well-established notion of “British logic in Italy”, as the major logical strategies used in the analysed works can be traced back to earlier British authors. Logically speaking, the problem of iterated epistemic modalities was framed as debate on the consistency of the hypothesis that (...)
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