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  1. Ancient Greek Mathematical Proofs and Metareasoning.Mario Bacelar Valente - 2024 - In Maria Zack (ed.), Research in History and Philosophy of Mathematics. Annals of the Canadian Society for History and Philosophy of Mathematics. pp. 15-33.
    We present an approach in which ancient Greek mathematical proofs by Hippocrates of Chios and Euclid are addressed as a form of (guided) intentional reasoning. Schematically, in a proof, we start with a sentence that works as a premise; this sentence is followed by another, the conclusion of what we might take to be an inferential step. That goes on until the last conclusion is reached. Guided by the text, we go through small inferential steps; in each one, we go (...)
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  • A Mid-blue Logic.Danilo Suster - 2022 - In Boran Berčić, Aleksandra Golubović & Majda Trobok (eds.), HUMAN RATIONALITY Festschrift for Nenad Smokrović. Rijeka: University of Rijeka, Faculty of Humanities and Social Sciences. pp. 211-228.
    I discuss Smokrović’s work on the normativity of logic (Smokrović 2017, Smokrović 2018). I agree that the classical formal logic is not an adequate model for real-life reasoning. But I present some doubts about his notion of deductive logic and his proposal to model such reasoning in non-monotonic logic. No branch of formal logic by itself is likely to capture real-life inferential links (reasoned-inference). I use the logic of relevance as my case study and extend the pessimistic morals to modern (...)
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  • Virtues Suffice for Argument Evaluation.Andrew Aberdein - 2023 - Informal Logic 44 (1):543-559.
    The virtues and vices of argument are now an established part of argumentation theory. They have helped direct attention to hitherto neglected aspects of how we argue. However, it remains controversial whether a virtue theory can contribute to some of the central questions of argumentation theory. Notably, Harvey Siegel disputes whether what he calls ‘arguments in the abstract propositional sense’ can be evaluated meaningfully within a virtue theory. This paper explores the prospects for grounding an account of argument evaluation in (...)
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  • The Virtues of Ethics Bowl: Do Pre-College Philosophy Programs Prepare Students for Democratic Citizenship?Michael Vazquez & Michael Prinzing - 2023 - Journal of Philosophy in Schools 10 (1):25-45.
    This paper discusses the rationale for, and efforts to quantify the success of, philosophy outreach efforts at the University of North Carolina at Chapel Hill, with a focus on the National High School Ethics Bowl (NHSEB). We explore the program's democratic foundations and its potential to promote civic and intellectual virtues. After describing pioneering efforts to empirically access the impact of NHSEB, we offer recommendations to empower publicly and empirically-engaged philosophers to conduct further studies in the future.
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  • What is logical deflationism? Two non-metalinguistic conceptions of logic.Lionel Shapiro - 2022 - Synthese 200 (1):1-28.
    This paper compares two ways of holding that logic is special among the sciences in that it has no restricted class of entities as its subject matter, but instead concerns all entities alike. One way is Williamson’s explanation of how inquiry into logical consequence and logical truth only superficially concerns the linguistic or conceptual entities that bear these properties. Williamson draws on ideas familiar from deflationism about truth, and his account has been called “deflationary.” I argue that the analogy is (...)
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  • On the rational resolution of (deep) disagreements.Eugen Octav Popa - 2022 - Synthese 200 (4):1-15.
    Disagreements come in all shapes and sizes, but epistemologists and argumentation theorists have singled out a special category referred to as deep disagreements. These deep disagreements are thought to pose philosophical and practical difficulties pertaining to their rational resolution. In this paper, I start with a critique of the widespread claim that deep disagreements are qualitatively different from normal disagreements because they arise from a difference in ‘fundamental principles’ or ‘hinge commitments.’ I then defend the following two claims: All disagreements (...)
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  • Who’s Afraid of Adversariality? Conflict and Cooperation in Argumentation.Catarina Dutilh Novaes - 2020 - Topoi 40 (5):873-886.
    Since at least the 1980s, the role of adversariality in argumentation has been extensively discussed within different domains. Prima facie, there seem to be two extreme positions on this issue: argumentation should never be adversarial, as we should always aim for cooperative argumentative engagement; argumentation should be and in fact is always adversarial, given that adversariality is an intrinsic property of argumentation. I here defend the view that specific instances of argumentation are adversarial or cooperative to different degrees. What determines (...)
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  • Speech Act Pluralism in Argumentative Polylogues.Marcin Lewinski - 2021 - Informal Logic 42 (4):421-451.
    I challenge two key assumptions of speech act theory, as applied to argumentation: illocutionary monism, grounded in the idea each utterance has only one (primary) illocutionary force, and the dyadic reduction, which models interaction as a dyadic affair between only two agents (speaker-hearer, proponentopponent). I show how major contributions to speech act inspired study of argumentation adhere to these assumptions even as illocutionary pluralism in argumentative polylogues is a significant empirical fact in need of theoretical attention. I demonstrate this with (...)
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  • On the Epistemological Relevance of Social Power and Justice in Mathematics.Eugenie Hunsicker & Colin Jakob Rittberg - 2022 - Axiomathes 32 (3):1147-1168.
    In this paper we argue that questions about which mathematical ideas mathematicians are exposed to and choose to pay attention to are epistemologically relevant and entangled with power dynamics and social justice concerns. There is a considerable body of literature that discusses the dissemination and uptake of ideas as social justice issues. We argue that these insights are also relevant for the epistemology of mathematics. We make this visible by a journalistic exploration of relevant cases and embed our insights into (...)
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  • A truth-maker semantics for ST: refusing to climb the strict/tolerant hierarchy.Ulf Hlobil - 2022 - Synthese 200 (5):1-23.
    The paper presents a truth-maker semantics for Strict/Tolerant Logic (ST), which is the currently most popular logic among advocates of the non-transitive approach to paradoxes. Besides being interesting in itself, the truth-maker presentation of ST offers a new perspective on the recently discovered hierarchy of meta-inferences that, according to some, generalizes the idea behind ST. While fascinating from a mathematical perspective, there is no agreement on the philosophical significance of this hierarchy. I aim to show that there is no clear (...)
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  • Susan Stebbing’s Logical Interventionism.Alexander X. Douglas & Jonathan Nassim - 2021 - History and Philosophy of Logic 42 (2):101-117.
    We examine a contribution L. Susan Stebbing made to the understanding of critical thinking and its relation to formal logic. Stebbing took expertise in formal logic to authorise logical intervention in public debate, specifically in assessing of the validity of everyday reasoning. She held, however, that formal logic is purely the study of logical form. Given the problems of ascertaining logical form in any particular instance, and that logical form does not always track informal validity, it is difficult to see (...)
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  • Intuitions, theory choice and the ameliorative character of logical theories.César Frederico dos Santos - 2021 - Synthese 199 (5-6):12199-12223.
    Anti-exceptionalists about logic claim that logical methodology is not different from scientific methodology when it comes to theory choice. Two anti-exceptionalist accounts of theory choice in logic are abductivism and predictivism. These accounts have in common reliance on pre-theoretical logical intuitions for the assessment of candidate logical theories. In this paper, I investigate whether intuitions can provide what abductivism and predictivism want from them and conclude that they do not. As an alternative to these approaches, I propose a Carnapian view (...)
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  • Conjunctive paraconsistency.Franca D’Agostini - 2021 - Synthese 199 (3-4):6845-6874.
    This article is a preliminary presentation of conjunctive paraconsistency, the claim that there might be non-explosive true contradictions, but contradictory propositions cannot be considered separately true. In case of true ‘p and not p’, the conjuncts must be held untrue, Simplification fails. The conjunctive approach is dual to non-adjunctive conceptions of inconsistency, informed by the idea that there might be cases in which a proposition is true and its negation is true too, but the conjunction is untrue, Adjunction fails. While (...)
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  • Countering Justification Holism in the Epistemology of Logic: The Argument from Pre-Theoretic Universality.Frederik J. Andersen - 2023 - Australasian Journal of Logic 20 (3):375-396.
    A key question in the philosophy of logic is how we have epistemic justification for claims about logical entailment (assuming we have such justification at all). Justification holism asserts that claims of logical entailment can only be justified in the context of an entire logical theory, e.g., classical, intuitionistic, paraconsistent, paracomplete etc. According to holism, claims of logical entailment cannot be atomistically justified as isolated statements, independently of theory choice. At present there is a developing interest in—and endorsement of—justification holism (...)
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  • Logical Disagreement.Frederik J. Andersen - 2024 - Dissertation, University of St. Andrews
    While the epistemic significance of disagreement has been a popular topic in epistemology for at least a decade, little attention has been paid to logical disagreement. This monograph is meant as a remedy. The text starts with an extensive literature review of the epistemology of (peer) disagreement and sets the stage for an epistemological study of logical disagreement. The guiding thread for the rest of the work is then three distinct readings of the ambiguous term ‘logical disagreement’. Chapters 1 and (...)
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  • Medieval theories of consequence.Catarina Dutilh Novaes - 2012 - Stanford Encyclopedia of Philosophy:1-21.
  • Dialogical logic.Laurent Keiff - 2010 - Stanford Encyclopedia of Philosophy.