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The justification of deduction

In Truth and other enigmas. Cambridge: Harvard University Press (1978)

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  1. Truth, Revenge, and Internalizability.Kevin Scharp - 2014 - Erkenntnis 79 (S3):597-645.
    Although there has been a recent swell of interest in theories of truth that attempt solutions to the liar paradox and the other paradoxes affecting our concept of truth, many of these theories have been criticized for generating new paradoxes, called revenge paradoxes. The criticism is that the theories of truth in question are inadequate because they only work for languages lacking in the resources to generate revenge paradoxes. Theorists facing these objections offer a range of replies, and the matter (...)
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  • The categorical and the hypothetical: a critique of some fundamental assumptions of standard semantics.Peter Schroeder-Heister - 2012 - Synthese 187 (3):925-942.
    The hypothetical notion of consequence is normally understood as the transmission of a categorical notion from premisses to conclusion. In model-theoretic semantics this categorical notion is 'truth', in standard proof-theoretic semantics it is 'canonical provability'. Three underlying dogmas, (I) the priority of the categorical over the hypothetical, (II) the transmission view of consequence, and (III) the identification of consequence and correctness of inference are criticized from an alternative view of proof-theoretic semantics. It is argued that consequence is a basic semantical (...)
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  • Meaning and Justification: The Case of Modus Ponens.Joshua Schechter & David Enoch - 2006 - Noûs 40 (4):687 - 715.
    In virtue of what are we justified in employing the rule of inference Modus Ponens? One tempting approach to answering this question is to claim that we are justified in employing Modus Ponens purely in virtue of facts concerning meaning or concept-possession. In this paper, we argue that such meaning-based accounts cannot be accepted as the fundamental account of our justification.
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  • Classical logic without bivalence.Tor Sandqvist - 2009 - Analysis 69 (2):211-218.
    Semantic justifications of the classical rules of logical inference typically make use of a notion of bivalent truth, understood as a property guaranteed to attach to a sentence or its negation regardless of the prospects for speakers to determine it as so doing. For want of a convincing alternative account of classical logic, some philosophers suspicious of such recognition-transcending bivalence have seen no choice but to declare classical deduction unwarranted and settle for a weaker system; intuitionistic logic in particular, buttressed (...)
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  • Human rationality: Misleading linguistic analogies.Geoffrey Sampson - 1981 - Behavioral and Brain Sciences 4 (3):350-351.
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  • The Burden of Proof in Philosophical Persuasion Dialogue.Conny Rhode - 2017 - Argumentation 31 (3):535-554.
    Dialogical egalitarianism is the thesis that any proposition asserted in dialogue, if questioned, must be supported or else retracted. Dialogical foundationalism is the thesis that some propositions are privileged over this burden of proof, standing in no need of support unless and until support for their negation is provided. I first discuss existing arguments for either thesis, dismissing each one of them. Absent a successful principled argument, I then examine which thesis it is pragmatically more advantageous to adopt in analytic (...)
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  • Logical abductivism and non-deductive inference.Graham Priest - 2020 - Synthese 199 (1-2):3207-3217.
    Logic, in one of the many sense of that term, is a theory about what follows from what and why. Arguably, the correct theory has to be determined by abduction. Over recent years, so called logical anti-exceptionalists have investigated this matter. Current discussions have been restricted to deductive logic. However, there are also, of course, various forms of non-deductive reasoning. Indeed, abduction itself is one of these. What is to be said about the way of choosing the best theory of (...)
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  • Boolean negation and all that.Graham Priest - 1990 - Journal of Philosophical Logic 19 (2):201 - 215.
    We have seen that proofs of soundness of (Boolean) DS, EFQ and of ABS — and hence the legitimation of these inferences — can be achieved only be appealing to the very form of reasoning in question. But this by no means implies that we have to fall back on classical reasoning willy-nilly. Many logical theories can provide the relevant boot-strapping. Decision between them has, therefore, to be made on other grounds. The grounds include the many criteria familiar from the (...)
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  • Phenomenological Argumentative Structure.Gilbert Plumer - 2001 - Argumentation 15 (2):173-189.
    The nontechnical ability to identify or match argumentative structure seems to be an important reasoning skill. Instruments that have questions designed to measure this skill include major standardized tests for graduate school admission, for example, the United States-Canadian Law School Admission Test (LSAT), the Graduate Record Examinations (GRE), and the Graduate Management Admission Test (GMAT). Writers and reviewers of such tests need an appropriate foundation for developing such questions--they need a proper representation of phenomenological argumentative structure--for legitimacy, and because these (...)
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  • Indices of truth and intensional operators.Philip Percival - 1990 - Theoria 56 (3):148-172.
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  • The necessity in deduction: Cartesian inference and its medieval background.Calvin G. Normore - 1993 - Synthese 96 (3):437 - 454.
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  • How Skeptics Do Ethics: A Brief History of the Late Modern Linguistic Turn.Aubrey Neal - 2007 - University of Calgary Press.
    Author Aubrey Neal suggests that one of these issues that lingers with us today is scepticism, and in 'How Skeptics do Ethics', he unravels the thread of this philosophy from its origins in enlightenment thinking down to our present age.
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  • The coherence of antirealism.Charles McCarty - 2006 - Mind 115 (460):947-956.
    The project of antirealism is to construct an assertibility semantics on which (1) the truth of statements obeys a recognition condition so that (2) counterexamples are forthcoming to the law of the excluded third and (3) intuitionistic formal predicate logic is provably sound and complete with respect to the associated notion of validity. Using principles of intuitionistic mathematics and employing only intuitionistically correct inferences, we show that prima facie reasonable formulations of (1), (2), and (3) are inconsistent. Therefore, it should (...)
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  • In defense of relativism.Joseph Margolis - 1988 - Social Epistemology 2 (3):201 – 225.
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  • Achilles versus the tortoise: The battle over modus ponens (an aristotelian argument).Peter Marton - 2004 - Philosophia 31 (3-4):383-400.
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  • Proof-Theoretic Semantics, a Problem with Negation and Prospects for Modality.Nils Kürbis - 2015 - Journal of Philosophical Logic 44 (6):713-727.
    This paper discusses proof-theoretic semantics, the project of specifying the meanings of the logical constants in terms of rules of inference governing them. I concentrate on Michael Dummett’s and Dag Prawitz’ philosophical motivations and give precise characterisations of the crucial notions of harmony and stability, placed in the context of proving normalisation results in systems of natural deduction. I point out a problem for defining the meaning of negation in this framework and prospects for an account of the meanings of (...)
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  • Definite Descriptions in Intuitionist Positive Free Logic.Nils Kürbis - 2020 - Logic and Logical Philosophy 30:1.
    This paper presents rules of inference for a binary quantifier I for the formalisation of sentences containing definite descriptions within intuitionist positive free logic. I binds one variable and forms a formula from two formulas. Ix[F, G] means ‘The F is G’. The system is shown to have desirable proof-theoretic properties: it is proved that deductions in it can be brought into normal form. The discussion is rounded up by comparisons between the approach to the formalisation of definite descriptions recommended (...)
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  • The Content of Deduction.Mark Jago - 2013 - Journal of Philosophical Logic 42 (2):317-334.
    For deductive reasoning to be justified, it must be guaranteed to preserve truth from premises to conclusion; and for it to be useful to us, it must be capable of informing us of something. How can we capture this notion of information content, whilst respecting the fact that the content of the premises, if true, already secures the truth of the conclusion? This is the problem I address here. I begin by considering and rejecting several accounts of informational content. I (...)
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  • Artificial Intelligence as a Possible Tool for Discovering Laws of Logic.David Isles - 1978 - Cognitive Science 2 (4):329-360.
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  • Who plays semantical games?Michael Hand - 1989 - Philosophical Studies 56 (3):251 - 271.
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  • Meaning, truth-conditions, and substitutional quantification.Michael Hand - 1992 - Philosophical Studies 68 (2):195 - 216.
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  • A number is the exponent of an operation.Michael Hand - 1989 - Synthese 81 (2):243 - 265.
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  • A refutation of global scepticism.Ken Gemes - 2009 - Analysis 69 (2):218-219.
    Various possibilities, that one is dreaming, that one is being deceived by a deceitful demon, that one is a brain in the vat being stimulated to think one has a body and is in a regular world, have been invoked to show that all one's experience-based beliefs might be false. Descartes in Meditation I advises that in order not to lapse into his careless everyday view of things he, or at least his meditator, should pretend that all his experience-based beliefs, (...)
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  • Physicalism, instrumentalism and the semantics of modal logic.Graeme Forbes - 1983 - Journal of Philosophical Logic 12 (3):271 - 298.
    The delicate point in the formalistic position is to explain how the non-intuitionistic classical mathematics is significant, after having initially agreed with the intuitionists that its theorems lack a real meaning in terms of which they are true (S. C. Kleene, 1952).
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  • Limiting logical pluralism.Suki Finn - 2019 - Synthese 198 (Suppl 20):4905-4923.
    In this paper I argue that pluralism at the level of logical systems requires a certain monism at the meta-logical level, and so, in a sense, there cannot be pluralism all the way down. The adequate alternative logical systems bottom out in a shared basic meta-logic, and as such, logical pluralism is limited. I argue that the content of this basic meta-logic must include the analogue of logical rules Modus Ponens and Universal Instantiation. I show this through a detailed analysis (...)
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  • Anti-Exceptionalism About Requirements of Epistemic Rationality.Claire Https://Orcidorg Field - 2020 - Acta Analytica 36 (3):423-441.
    I argue for the unexceptionality of evidence about what rationality requires. Specifically, I argue that, as for other topics, one’s total evidence can sometimes support false beliefs about this. Despite being prima facie innocuous, a number of philosophers have recently denied this. Some have argued that the facts about what rationality requires are highly dependent on the agent’s situation and change depending on what that situation is like. (Bradley 2019). Others have argued that a particular subset of normative truths, those (...)
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  • Knowledge of Validity.Sinan Dogramaci - 2010 - Noûs 44 (3):403-432.
    What accounts for how we know that certain rules of reasoning, such as reasoning by Modus Ponens, are valid? If our knowledge of validity must be based on some reasoning, then we seem to be committed to the legitimacy of rule-circular arguments for validity. This paper raises a new difficulty for the rule-circular account of our knowledge of validity. The source of the problem is that, contrary to traditional wisdom, a universal generalization cannot be inferred just on the basis of (...)
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  • Proof and truth: an anti-realist perspective.Luca Tranchini - 2013 - Pisa: Edizioni ETS. Edited by Luca Tranchini.
    In the first chapter, we discuss Dummett’s idea that the notion of truth arises from the one of the correctness of an assertion. We argue that, in a first-order language, the need of defining truth in terms of the notion of satisfaction, which is yielded by the presence of quantifiers, is structurally analogous to the need of a notion of truth as distinct from the one of correctness of an assertion. In the light of the analogy between predicates in Frege (...)
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  • A Priori Bootstrapping.Ralph Wedgwood - 2013 - In Albert Casullo & Joshua Thurow (eds.), The A Priori In Philosophy. Oxford University Press. pp. 226-246.
    This paper explores the problems that are raised by a certain traditional sceptical paradox. The conclusion will be that the most challenging problem raised by this paradox does not primarily concern the justification of beliefs; it concerns the justification of belief-forming practices. This conclusion is supported by showing that if we can solve the sceptical problem for belief-forming practices, then it will be a relatively straightforward matter to solve the problem that concerns the justification of beliefs.
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  • Semantics and the Justification of Deductive Inference.Ebba Gullberg & Sten Lindström - 2007 - Hommage À Wlodek: Philosophical Papers Dedicated to Wlodek Rabinowicz.
    Is it possible to give a justification of our own practice of deductive inference? The purpose of this paper is to explain what such a justification might consist in and what its purpose could be. On the conception that we are going to pursue, to give a justification for a deductive practice means to explain in terms of an intuitively satisfactory notion of validity why the inferences that conform to the practice coincide with the valid ones. That is, a justification (...)
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  • Logic, Reasoning and the Logical Constants.Pascal Engel - 2006 - Croatian Journal of Philosophy 6 (2):219-235.
    What is the relationship between logic and reasoning? How do logical norms guide inferential performance? This paper agrees with Gilbert Harman and most of the psychologists that logic is not directly relevant to reasoning. It argues, however, that the mental model theory of logical reasoning allows us to harmonise the basic principles of deductive reasoning and inferential perfomances, and that there is a strong connexion between our inferential norms and actual reasoning, along the lines of Peacocke’s conception of inferential role.
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  • Logical Truth.Mario Gomez-Torrente - 2014 - Stanford Encyclopedia of Philosophy.
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  • Los conceptos abierLos Y la paradoja Del análisis (open concepts and the paradox of analysis).Sílvio Pinto - 2005 - Theoria 20 (2):199-219.
    Michael Beaney ha sugerido recientemente que la distinción fregeana entre sentido y referencia fue propuesta para resolver la famosa paradoja del análisis. Casi diez años antes, Michael Dummett ya insistia en que Frege fue uno de los prirneros en buscar una soluci6n satisfactoria de esta paradoja. En esre articulo, discuto algunas sugerencias de Beaney y Dummett de cómo resolver la paradoja al estilo fregeano y tarnbién sus propias contribuciones no fregeanas al debate en torno de la corrección y de la (...)
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  • Is it OK to Make Mistakes? Appraisal and False Normative Belief.Claire Field - 2019 - Dissertation, University of St Andrews
    Sometimes we make mistakes, even when we try to do our best. When those mistakes are about normative matters, such as what is required, this leads to a puzzle. This puzzle arises from the possibility of misleading evidence about what rationality requires. I argue that the best way to solve this puzzle is to distinguish between two kinds of evaluation: requirement and appraisal. The strategy I defend connects three distinct debates in epistemology, ethics, and normativity: the debate over how our (...)
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  • Proof Theory and Meaning.B. G. Sundholm - unknown
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  • The Continuity of Wittgenstein's Critical Meta-Philosophy.Thomas Robert Cunningham - unknown
    This thesis investigates the continuity of Wittgenstein’s approach to, and conception of, philosophy. Part One examines the rule-following passages of the Philosophical Investigations. I argue that Wittgenstein’s remarks can only be read as interesting and coherent if we see him, as urged by prominent commentators, resisting the possibility of a certain ‘sideways-on’ perspective. There is real difficulty, however, in ascertaining what the resulting Wittgensteinian position is: whether it is position structurally analogous with Kant’s distinction between empirical realism and transcendental idealism, (...)
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  • Logical Form and the Limits of Thought.Manish Oza - 2020 - Dissertation, University of Toronto
    What is the relation of logic to thinking? My dissertation offers a new argument for the claim that logic is constitutive of thinking in the following sense: representational activity counts as thinking only if it manifests sensitivity to logical rules. In short, thinking has to be minimally logical. An account of thinking has to allow for our freedom to question or revise our commitments – even seemingly obvious conceptual connections – without loss of understanding. This freedom, I argue, requires that (...)
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  • Necessity of Thought.Cesare Cozzo - 2015 - In Heinrich Wansing (ed.), Dag Prawitz on Proofs and Meaning. Springer. pp. 101-20.
    The concept of “necessity of thought” plays a central role in Dag Prawitz’s essay “Logical Consequence from a Constructivist Point of View” (Prawitz 2005). The theme is later developed in various articles devoted to the notion of valid inference (Prawitz, 2009, forthcoming a, forthcoming b). In section 1 I explain how the notion of necessity of thought emerges from Prawitz’s analysis of logical consequence. I try to expound Prawitz’s views concerning the necessity of thought in sections 2, 3 and 4. (...)
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  • Small Steps and Great Leaps in Thought: The Epistemology of Basic Deductive Rules.Joshua Schechter - 2019 - In Magdalena Balcerak Jackson & Brendan Balcerak Jackson (eds.), Reasoning: New Essays on Theoretical and Practical Thinking. Oxford: Oxford University Press.
    We are justified in employing the rule of inference Modus Ponens (or one much like it) as basic in our reasoning. By contrast, we are not justified in employing a rule of inference that permits inferring to some difficult mathematical theorem from the relevant axioms in a single step. Such an inferential step is intuitively “too large” to count as justified. What accounts for this difference? In this paper, I canvass several possible explanations. I argue that the most promising approach (...)
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  • Philosophie des modalités épistémiques (la logique assertorique revisitée).Fabien Schang - 2007 - Dissertation, Nancy Université
    The relevance of any logical analysis lies in its ability to solve paradoxes and trace conceptual troubles back; with this respect, the task of epistemic logic is to handle paradoxes in connection with the concept of knowledge. Epistemic logic is currently introduced as the logical analysis of crucial concepts within epistemology, namely: knowledge, belief, truth, and justification. An alternative approach will be advanced here in order to enlighten such a discourse, as centred upon the word assertion and displayed in terms (...)
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  • Psychologism in contemporary argumentation theory.Daivd M. Godden - unknown
    The last half of this century witnessed a proliferation of competing and complimentary theories of argumentation, initiated by the methodological shift from the "product" to the "process" of argument. This paper considers the effect of that shift by c omparing the different logical and epistemic status various theories assign to the standards of argument analysis and evaluation. In view of such differences, I argue that the systematic study of argumentation must clearly demarcate the normative and emp irical study of argumentation (...)
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  • A Cláusula Final da Definição Geral do Silogismo e suas funções na silogística e nos Primeiros Analíticos I de Aristóteles.Felipe Weinmann - 2014 - Dissertation, University of Campinas
    Aristotle's General Definition of the Syllogism may be taken as consisting of two parts: the Inferential Conditions and the Final Clause. Although this distinction is well known, traditional interpretations neglect the Final Clause and its influence on syllogistic. Instead, the aforementioned tradition focuses on the Inferential Conditions only. We intend to show that this neglect has severe consequences not just on syllogistic but on the whole exegesis of Aristotle's Prior Analytics I. Due to these consequences, our objective is to analyse (...)
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  • Supervaluationism and its logics.John Gardner - manuscript
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  • Sophism and Pragmatism.Nicholas Shackel - 2010 - Logique Et Analyse 53 (210):131-149.
    A traditional pastime of philosophers is the analysis of rhetoric and the repudiation of sophistry. Nevertheless, some of what philosophers call sophistry might rather be a subtle repudiation of the traditional principles of rationality. In this paper I start by granting the Sophist his repudiation and outline some of the obstacles to settling the dispute between Sophists and Rationalists. I then suggest that we should distinguish pragmatic Sophism from nihilistic Sophism. In the hope of driving a wedge between these two (...)
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  • Commentary on Missimer.Christina Slade - unknown
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  • Proof-Theoretical Semantics and Fregean Identity Criteria for Propositions.B. G. Sundholm - 1994 - The Monist 77 (3):294-314.
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  • Os problemas da indução e da dedução.Pedro Merlussi - 2012 - Prometeus: Filosofia em Revista 5 (10).
    Neste artigo apresento uma introdução ao problema da indução/dedução. Após isso,apresento a resposta de Strawson ao problema e também suas principais objeções,formuladas por BonJour.
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