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The justification of deduction

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

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  1. 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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  • Experiment-Driven Rationalism.Daniele Bruno Garancini - 2024 - Synthese 203 (109):1-27.
    Philosophers debate about which logical system, if any, is the One True Logic. This involves a disagreement concerning the sufficient conditions that may single out the correct logic among various candidates. This paper discusses whether there are necessary conditions for the correct logic; that is, I discuss whether there are features such that if a logic is correct, then it has those features, although having them might not be sufficient to single out the correct logic. Traditional rationalist arguments suggest that (...)
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  • A Mereological Reading of the Dictum de Omni et Nullo.Phil Corkum - forthcoming - Archiv für Geschichte der Philosophie.
    When Aristotle introduces the perfect moods, he refers back to the dictum de omni et nullo, a semantic condition for universal affirmations and negations. There recently has been renewed interest in the question whether the dictum validates the assertoric syllogistic. I rehearse evidence that Aristotle provides a mereological semantics for universal affirmations and negations, and note that this semantics entails a nonstandard reading of the dictum, under which the dictum, in the presence of a minimal logical apparatus, indeed validates the (...)
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  • Handling rejection.Derek Baker & Jack Woods - 2022 - Philosophical Studies 180 (1):159-190.
    This paper has two related goals. First, we develop an expressivist account of negation which, in the spirit of Alan Gibbard, treats disagreement as semantically primitive. Our second goal is to make progress toward a unified expressivist treatment of modality. Metaethical expressivists must be expressivists about deontic modal claims. But then metaethical expressivists must either extend their expressivism to include epistemic and alethic modals, or else accept a semantics for modal expressions that is radically disjunctive. We propose that expressivists look (...)
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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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  • Dag Prawitz on Proofs and Meaning.Heinrich Wansing (ed.) - 2014 - Cham, Switzerland: Springer.
    This volume is dedicated to Prof. Dag Prawitz and his outstanding contributions to philosophical and mathematical logic. Prawitz's eminent contributions to structural proof theory, or general proof theory, as he calls it, and inference-based meaning theories have been extremely influential in the development of modern proof theory and anti-realistic semantics. In particular, Prawitz is the main author on natural deduction in addition to Gerhard Gentzen, who defined natural deduction in his PhD thesis published in 1934. The book opens with an (...)
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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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  • On the Justification Problems: Towards a Peircean Diagnosis and Solution.Liuhua Zhang - 2017 - History and Philosophy of Logic 38 (3):222-238.
    Responding to the paradox of inference and the related problems in philosophy of logic, this paper argues for the necessity of distinguishing between two different objects of justification: logica utens and logica docens. Then, equipped with Peirce’s critical common-sensist conception of logica utens and his classification of sciences, I propose a diagnosis of and a solution to the problem of justification of logic. I argue that this alternative approach successfully avoids circularity in which most attempts in philosophy of logic have (...)
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  • Interpreting Davidson’s Omniscient Interpreter.Richard N. Manning - 1995 - Canadian Journal of Philosophy 25 (3):335-374.
    Donald Davidson infamously claims that belief is in its nature veridical, and that skepticism is for this reason fundamentally incoherent. To those who take the issue of external world skepticism seriously, Davidson's arguments may seem to involve a conjuring trick. In particular, his invocation of an ‘omniscient interpreter’, whose intelligibility supposedly ensures that our beliefs must be largely true, has the air of incense and lantern-rubbing about it. Davidson's claim has received considerable critical response in the literature, almost all of (...)
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  • Necessity of Thought.Cesare Cozzo - 2015 - In Heinrich Wansing (ed.), Dag Prawitz on Proofs and Meaning. Cham, Switzerland: 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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  • 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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  • Validity, the Squeezing Argument and Alternative Semantic Systems: the Case of Aristotelian Syllogistic. [REVIEW]Catarina Dutilh Novaes & Edgar Andrade-Lotero - 2012 - Journal of Philosophical Logic 41 (2):387 - 418.
    We investigate the philosophical significance of the existence of different semantic systems with respect to which a given deductive system is sound and complete. Our case study will be Corcoran's deductive system D for Aristotelian syllogistic and some of the different semantic systems for syllogistic that have been proposed in the literature. We shall prove that they are not equivalent, in spite of D being sound and complete with respect to each of them. Beyond the specific case of syllogistic, 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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  • 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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  • Epistemology quantized: Circumstances in which we should come to believe in the Everett interpretation.David Wallace - 2006 - British Journal for the Philosophy of Science 57 (4):655-689.
    I consider exactly what is involved in a solution to the probability problem of the Everett interpretation, in the light of recent work on applying considerations from decision theory to that problem. I suggest an overall framework for understanding probability in a physical theory, and conclude that this framework, when applied to the Everett interpretation, yields the result that that interpretation satisfactorily solves the measurement problem. Introduction What is probability? 2.1 Objective probability and the Principal Principle 2.2 Three ways of (...)
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  • Religious Presuppositions of Logic and Rationality.Alberto Leopoldo Batista Neto - 1970 - Forum Philosophicum: International Journal for Philosophy 23 (1):5-57.
    There is a crisis in philosophical rationality today—in which modern logic is implicated—that can be traced to the abandonment of a common background of principles. The situation has no parallel within the pre-modern tradition, which not only admits of such principles, but also refers them back to a set of assumptions grounded in a clearly religious frame of mind. Modern conceptions of rationality claim complete independence from religious sources, as from tradition more generally, and typically end up disposing of first (...)
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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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  • On the Role of Logic in Analytic Theology: Exploring the Wider Context of Beall’s Philosophy of Logic.A. J. Cotnoir - 2019 - Journal of Analytic Theology 7 (1):508-528.
    What is the proper role of logic in analytic theology? This question is thrown into sharp relief when a basic logical principle is questioned, as in Beall’s ‘Christ – A Contradiction.’ Analytic philosophers of logic have debated between exceptionalism and anti-exceptionalism, with the tide shifting towards anti-exceptionalism in recent years. By contrast, analytic theologians have largely been exceptionalists. The aim of this paper is to argue for an anti-exceptionalist view, specifically treating logic as a modelling tool. Along the way I (...)
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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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  • Tonking a theory of content: an inferentialist rejoinder.Jon Cogburn - 2004 - Logic and Logical Philosophy 13:31-55.
    If correct, Christopher Peacocke’s [20] “manifestationism without verificationism,” would explode the dichotomy between realism and inferentialism in the contemporary philosophy of language. I first explicate Peacocke’s theory, defending it from a criticism of Neil Tennant’s. This involves devising a recursive definition for grasp of logical contents along the lines Peacocke suggests. Unfortunately though, the generalized account reveals the Achilles’ heel of the whole theory. By inventing a new logical operator with the introduction rule for the existential quantifier and the elimination (...)
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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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  • 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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  • Proof-Theoretical Semantics and Fregean Identity Criteria for Propositions.B. G. Sundholm - 1994 - The Monist 77 (3):294-314.
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  • A Priori Bootstrapping.Ralph Wedgwood - 2013 - In Albert Casullo & Joshua C. Thurow (eds.), The a Priori in Philosophy. Oxford: Oxford University Press UK. 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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  • Logical revision re-revisited: On the wright/salerno case for intuitionism. [REVIEW]Jon Cogburn - 2002 - Philosophical Studies 110 (3):231--248.
    In ``Revising the Logic of LogicalRevision'' J. Salerno attempts to undermineCrispin Wright 's recent arguments forintuitionism, and to replace Wright andDummett's arguments with a revisionary argumentof his own. I show that Salerno's criticismsof Wright involve both attributing an inferenceto Wright that no intuitionist would make andfallaciously treating a negative universal asan existential negative. Then I show how verygeneral considerations about the nature ofwarrant undermine both Wright and Salerno'sarguments, when these arguments are applied todiscourses with defeasible warrants. WhileSalerno explicitly restricts his (...)
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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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  • 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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  • Anti-Realist Truth and Truth-Recognition.Gabriele Usberti - 2012 - Topoi 31 (1):37-45.
    I will be concerned with the following question: are there compelling arguments for postulating a distinction between the truth of a statement and the recognition of its truth, when truth is conceived along the lines of a suitable generalization of the intuitionistic idea that it should be characterized as the existence of a proof? I will argue that the distinction is not necessary within the conceptual framework of intuitionism by replying to two arguments to the contrary, one based on the (...)
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  • A Regress Objection to Thagard’s Theory of Deductive Coherence.Mathieu Beirlaen - 2015 - Erkenntnis 80 (5):975-986.
    Paul Thagard’s theory of deductive coherence, as set out in his Coherence in Thought and Action, faces a regress objection. Thagard’s method of solving deductive coherence problems presupposes some notion of logical consequence. The problem of specifying which logic to use to this end is itself a deductive coherence problem, so we would expect Thagard’s theory to be able to solve it. However, on pain of regress, the theory of deductive coherence cannot reach such a solution.
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  • Indices of truth and intensional operators.Philip Percival - 1990 - Theoria 56 (3):148-172.
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  • Manifest invalidity: Neil Tennant's new argument for intuitionism.Jon Cogburn - 2003 - Synthese 134 (3):353 - 362.
    In Chapter 7 of The Taming of the True, Neil Tennant provides a new argument from Michael Dummett's ``manifestation requirement'' to the incorrectness of classical logic and the correctness of intuitionistic logic. I show that Tennant's new argument is only valid if one interprets crucial existence claims occurring in the proof in the manner of intuitionists. If one interprets the existence claims as a classical logician would, then one can accept Tennant's premises while rejecting his conclusion of logical revision. Thus, (...)
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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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  • Justifying Deduction.Jerome E. Bickenbach - 1979 - Dialogue 18 (4):500-516.
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  • In defense of relativism.Joseph Margolis - 1988 - Social Epistemology 2 (3):201 – 225.
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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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  • 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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  • 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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  • Introduction.Gabriele Usberti - 1994 - Topoi 13 (2):67-70.
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  • Pitfalls for realistic decision theory: an illustration from sequential choice.José Luis Bermúdez - 2010 - Synthese 176 (1):23-40.
    Decision theory is a theory of rationality, but the concept of rationality has several different dimensions. Making decision theory more realistic with respect to one dimension may well have the result of making it less realistic in another dimension. This paper illustrates this tension in the context of sequential choice. Trying to make decision theory more realistic by accommodating resoluteness and commitment brings the normative assessment dimension of rationality into conflict with the action-guiding dimension. In the case of resolute choice (...)
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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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  • Artificial Intelligence as a Possible Tool for Discovering Laws of Logic.David Isles - 1978 - Cognitive Science 2 (4):329-360.
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  • Supervaluationism and its logics.John Gardner - manuscript
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  • Holism and meaning.James O. Young - 1992 - Erkenntnis 37 (3):309 - 325.
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  • Human rationality: Misleading linguistic analogies.Geoffrey Sampson - 1981 - Behavioral and Brain Sciences 4 (3):350-351.
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  • Commentary on Missimer.Christina Slade - unknown
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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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  • 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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