About this topic
Summary Logical Pluralism is the view that there is more than one correct logic. What this claim amounts to depends on a specification both of what a logic is and of what it means for a logic to be correct. One of the strongest and most controversial varieties of logical pluralism is the claim that there is more than one correct account of logical consequence, that is, that multiple distinct logics correctly capture the logical consequence relation of natural language.
Key works The recent flurry of interest in strong forms of logical pluralism was initiated by Beall & Restall 2000, in which Beall and Restall argue that there is no single logical consequence relation in natural language, and so no single correct logic. Beall & Restall 2005 further develops the argument. Carnap 1937 argues for pluralism on linguistic grounds: for Carnap, the correctness of logic is relative to the choice of language, and there is no neutral standpoint from which the choice of language can be made. Shapiro 2006 and Cook 2002 independently argue that we should understand logic as a modelling tool: if this is right, then it is certainly possible that there could be two equally good and incommensurable models of the same unitary phenomena. Field 2009 argues that very few forms of logical pluralism are both interesting and true, and Priest 2005 defends logical monism: the view that there is just one correct logic.
Introductions Cook 2010 Russell 2013
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141 found
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  1. Conservative Translations.A. Feitosa Hércules & M. Loffredo D'Ottaviano Itala - 2001 - Annals of Pure and Applied Logic 108 (1-3):205-227.
    In this paper we introduce the concept of conservative translation between logics. We present some necessary and sufficient conditions for a translation to be conservative and study some general properties of logical systems, these properties being characterized by the existence of conservative translations between the systems. We prove that the class constituted by logics and conservative translations between them determines a co-complete subcategory of the bi-complete category constituted by logics and translations.
  2. Classical Recapture.Andrew Aberdein - 2001 - In V. Fano, M. Stanzione & G. Tarozzi (eds.), Prospettive Della Logica E Della Filosofia Della Scienza. Rubettino. pp. 11-18.
  3. From Logical Complementarity and Pluralism to Super-Logic.Musa Akrami - 2007 - In Jean-Yves Béziau & Alexandre Costa-Leite (eds.), Perspectives on Universal Logic. pp. 67.
  4. Review: P. H. Nowell-Smith, E. J. Lemmon, Escapism: The Logical Basis of Ethics. [REVIEW]Layman E. Allen - 1968 - Journal of Symbolic Logic 33 (4):611-612.
  5. A Constructionist Philosophy of Logic.Patrick Allo - 2017 - Minds and Machines 27 (3):545-564.
    This paper develops and refines the suggestion that logical systems are conceptual artefacts that are the outcome of a design-process by exploring how a constructionist epistemology and meta-philosophy can be integrated within the philosophy of logic.
  6. Logic, Reasoning and Revision.Patrick Allo - 2016 - Theoria 82 (1):3-31.
    The traditional connection between logic and reasoning has been under pressure ever since Gilbert Harman attacked the received view that logic yields norms for what we should believe. In this article I first place Harman's challenge in the broader context of the dialectic between logical revisionists like Bob Meyer and sceptics about the role of logic in reasoning like Harman. I then develop a formal model based on contemporary epistemic and doxastic logic in which the relation between logic and norms (...)
  7. Synonymy and Intra-Theoretical Pluralism.Patrick Allo - 2015 - Australasian Journal of Philosophy 93 (1):77-91.
    The starting point of this paper is a version of intra-theoretical pluralism that was recently proposed by Hjortland [2013]. In a first move, I use synonymy-relations to formulate an intuitively compelling objection against Hjortland's claim that, if one uses a single calculus to characterise the consequence relations of the paraconsistent logic LP and the paracomplete logic K3, one immediately obtains multiple consequence relations for a single language and hence a reply to the Quinean charge of meaning variance. In a second (...)
  8. Noisy Vs. Merely Equivocal Logics.Patrick Allo - 2013 - In Francesco Berto, Edwin Mares, Koji Tanaka & Francesco Paoli (eds.), Paraconsistency: Logic and Applications. Springer. pp. 57--79.
    Substructural pluralism about the meaning of logical connectives is best understood as the view that natural language connectives have all (and only) the properties conferred by classical logic, but that particular occurrences of these connectives cannot simultaneously exhibit all these properties. This is just a more sophisticated way of saying that while natural language connectives are ambiguous, they are not so in the way classical logic intends them to be. Since this view is usually framed as a means to resolve (...)
  9. Information and Logical Discrimination.Patrick Allo - 2012 - In S. Barry Cooper (ed.), How the World Computes. pp. 17--28.
    Informational conceptions of logic are barely novel. We find them in the work of John Corcoran, in several papers on substructural and constructive logics by Heinrich Wansing, and in the interpretation of the Routley-Meyer semantics for relevant logics in terms of Barwises and Perrys theory of situations. Allo & Mares [2] present an informational account of logical consequence that is based on the content-nonexpantion platitude, but that also relies on a double inversion of the standard direction of explanation (in- formation (...)
  10. Logical Pluralism and Semantic Information.Patrick Allo - 2007 - Journal of Philosophical Logic 36 (6):659 - 694.
    Up to now theories of semantic information have implicitly relied on logical monism, or the view that there is one true logic. The latter position has been explicitly challenged by logical pluralists. Adopting an unbiased attitude in the philosophy of information, we take a suggestion from Beall and Restall at heart and exploit logical pluralism to recognise another kind of pluralism. The latter is called informational pluralism, a thesis whose implications for a theory of semantic information we explore.
  11. Informational Semantics as a Third Alternative?Patrick Allo & Edwin Mares - 2012 - Erkenntnis 77 (2):167-185.
    Informational semantics were first developed as an interpretation of the model-theory of substructural (and especially relevant) logics. In this paper we argue that such a semantics is of independent value and that it should be considered as a genuine alternative explication of the notion of logical consequence alongside the traditional model-theoretical and the proof-theoretical accounts. Our starting point is the content-nonexpansion platitude which stipulates that an argument is valid iff the content of the conclusion does not exceed the combined content (...)
  12. Carnielli, Walter (ed.). Logic and Philosophy of the Formal Sciences: A Festscrift for Itala M. Loffredo D´ Ottaviano. São Paulo: Centro de Lógica, Epistemología e Historia da Ciência, UNICAMP (Número especial de Manuscrito, Revista Internacional de Filosofia, vol. 28, n. 2, jul-dez.) pp. 191-591.(2005). [REVIEW]Tomás Barrero - 2006 - Ideas Y Valores 55 (132):124-126.
  13. Metaphysics, Deep Pluralism, and Paradoxes of Informal Logic.Jeremy Barris - 2015 - International Journal of Philosophical Studies 23 (1):59-84.
    The paper argues that metaphysical thought, or thought in whose context our general framework of sense is under scrutiny, involves, legitimates, and requires a variety of informal analogues of the ‘true contradictions’ supported in some paraconsistent formal logics. These are what we can call informal ‘legitimate logical inadequacies’. These paradoxical logical structures also occur in deeply pluralist contexts, where more than one, conflicting general framework for sense is relevant. The paper argues further that these legitimate logical inadequacies are real or (...)
  14. Pluralism in Mathematics: A New Position in Philosophy of Mathematics. By Michèle Friend. Logic, Epistemology and the Unity of Science, Springer, 2014. £60. ISBN 978-94-007-7058-4. [REVIEW]Neil Barton - 2015 - Philosophy 90 (4):685-691.
  15. Strict-Choice Validities: A Note on a Familiar Pluralism.Jc Beall - 2014 - Erkenntnis 79 (S2):301-307.
    My aim here is a modest one: to note another example in which the theory of validity and the theory of ‘inference’ naturally come apart. The setting is multiple-conclusion logic. At least on one philosophy of multiple-conclusion logic, there are very clear examples of where logic qua validity and logic qua normative guide to inference are essentially different things. On the given conception, logic tells us only what follows from what, what our ‘choices’ are given a set of premises; it (...)
  16. Defending Logical Pluralism.JC Beall & Greg Restall - unknown
    We are pluralists about logical consequence [1]. We hold that there is more than one sense in which arguments may be deductively valid, that these senses are equally good, and equally deserving of the name deductive validity. Our pluralism starts with our analysis of consequence. This analysis of consequence is not idiosyncratic. We agree with Richard Jeffrey, and with many other philosophers of logic about how logical consequence is to be defined. To quote Jeffrey.
  17. Logical Pluralism.Jc Beall & Greg Restall - 2005 - Oxford University Press.
    Consequence is at the heart of logic; an account of consequence, of what follows from what, offers a vital tool in the evaluation of arguments. Since philosophy itself proceeds by way of argument and inference, a clear view of what logical consequence amounts to is of central importance to the whole discipline. In this book JC Beall and Greg Restall present and defend what thay call logical pluralism, the view that there is more than one genuine deductive consequence relation, a (...)
  18. Logical Pluralism.Jc Beall & Greg Restall - 2000 - Australasian Journal of Philosophy 78 (4):475 – 493.
    Consequence is at the heart of logic; an account of consequence, of what follows from what, offers a vital tool in the evaluation of arguments. Since philosophy itself proceeds by way of argument and inference, a clear view of what logical consequence amounts to is of central importance to the whole discipline. In this book JC Beall and Greg Restall present and defend what thay call logical pluralism, the view that there is more than one genuine deductive consequence relation, a (...)
  19. A Modality Called ‘Negation’.Francesco Berto - 2015 - Mind 124 (495):761-793.
    I propose a comprehensive account of negation as a modal operator, vindicating a moderate logical pluralism. Negation is taken as a quantifier on worlds, restricted by an accessibility relation encoding the basic concept of compatibility. This latter captures the core meaning of the operator. While some candidate negations are then ruled out as violating plausible constraints on compatibility, different specifications of the notion of world support different logical conducts for negations. The approach unifies in a philosophically motivated picture the following (...)
  20. Characterizing Negation to Face Dialetheism.Francesco Berto - 2006 - Logique Et Analyse 49 (195):241-263.
  21. What is Logical Pluralism?Manuel Bremer - manuscript
    Within the philosophy of logic there has been an old debate about strengths and weaknesses of so-called “deviant” logics, as compared to standard logic (i.e. First Order Logic with Identity). With the development of a multitude of many-valued and modal logical systems and the various ways they can be employed in various fields of philosophy, linguistics and computer science, former “deviant” logics have become well accepted. Nowadays we seem to have a new and almost contrary debate about whether there is (...)
  22. Restall and Beall on Logical Pluralism: A Critique.Manuel Bremer - 2014 - Erkenntnis 79 (S2):293-299.
    With their book Logical Pluralism, Jc Beall and Greg Restall have elaborated on their previous statements on logical pluralism. Their view of logical pluralism is centred on ways of understanding logical consequence. The essay tries to come to grips with their doctrine of logical pluralism by highlighting some points that might be made clearer, and questioning the force of some of Beall’s and Restall’s central arguments. In that connection seven problems for their approach are put forth: (1) The Informal Common (...)
  23. Rival Logics, Disagreement and Reflective Equilibrium.Georg Brun - 2012 - In C. Jaeger W. Loeffler (ed.), Epistemology: Contexts, Values, Disagreements (Proceedings of the 34th International Ludwig Wittgenstein Symposium). pp. 355-368.
    Two challenges to the method of reflective equilibrium have been developed in a dispute between Michael D. Resnik and Stewart Shapiro: because the method itself involves logical notions, it can neither be specified in a logic-neutral way nor can it allow logical pluralism. To analyse and answer these claims, an explicit distinction is introduced between judgements held prior to the process of mutual adjustments and judgements in agreement with the systematic principles, which result from the process. It is then argued (...)
  24. Modalism and Logical Pluralism.Otávio Bueno & Scott A. Shalkowski - 2009 - Mind 118 (470):295-321.
    Logical pluralism is the view according to which there is more than one relation of logical consequence, even within a given language. A recent articulation of this view has been developed in terms of quantification over different cases: classical logic emerges from consistent and complete cases; constructive logic from consistent and incomplete cases, and paraconsistent logic from inconsistent and complete cases. We argue that this formulation causes pluralism to collapse into either logical nihilism or logical universalism. In its place, we (...)
  25. Review of J.C. Beall and Greg Restall, Logical Pluralism. [REVIEW]J. A. Burgess - 2010 - Philosophy and Phenomenological Research 81 (2):519-522.
  26. The Collapse of Logical Pluralism has Been Greatly Exaggerated.Colin R. Caret - 2017 - Erkenntnis 82 (4):739-760.
    According to the logical pluralism of Beall and Restall, there are several distinct relations of logical consequence. Some critics argue that logical pluralism suffers from what I call the collapse problem: that despite its intention to articulate a radically pluralistic doctrine about logic, the view unintentionally collapses into logical monism. In this paper, I propose a contextualist resolution of the collapse problem. This clarifies the mechanism responsible for a plurality of logics and handles the motivating data better than the original (...)
  27. The Logical Syntax of Language.Rudolf Carnap - 1937 - London: K. Paul, Trench, Trubner & Co..
    Available for the first time in 20 years, here is the Rudolf Carnap's famous principle of tolerance by which everyone is free to mix and match the rules of ...
  28. DLEAC: A Dialetheic Logic with Exclusive Assumptions and Conclusions.Massimiliano Carrara & Enrico Martino - forthcoming - Topoi:1-10.
    This paper proposes a new dialetheic logic, a Dialetheic Logic with Exclusive Assumptions and Conclusions ), including classical logic as a particular case. In \, exclusivity is expressed via the speech acts of assuming and concluding. In the paper we adopt the semantics of the logic of paradox extended with a generalized notion of model and we modify its proof theory by refining the notions of assumption and conclusion. The paper starts with an explanation of the adopted philosophical perspective, then (...)
  29. Review: A. J. Ayer, Logical Positivism. [REVIEW]Alonzo Church - 1970 - Journal of Symbolic Logic 35 (2):312-312.
  30. Logical Pluralism is Compatible with Monism About Metaphysical Modality.Nicola Ciprotti & Luca Moretti - 2009 - Australasian Journal of Philosophy 87 (2):275-284.
    Beall and Restall 2000; 2001; 2006 advocate a comprehensive pluralist approach to logic, which they call Logical Pluralism, according to which there is not one true logic but many equally acceptable logical systems. They maintain that Logical Pluralism is compatible with monism about metaphysical modality, according to which there is just one correct logic of metaphysical modality. Wyatt 2004 contends that Logical Pluralism is incompatible with monism about metaphysical modality. We first suggest that if Wyatt were right, Logical Pluralism would (...)
  31. Pluralism Unconstrained.Steve Clarke - 1997 - International Studies in the Philosophy of Science 11 (2):143 – 146.
    The problem of constraining methodological pluralism is highlighted in a discussion of John Dupr 's The Disorder of Things . Dupr requires limits on what are to count as legitimate scientific methodologies. Although Dupr recognises this requirement, he fails in his attempt to appropriately ground such limitations.
  32. Monism, Pluralism and Relativism: New Essays on the Status of Logic.Daniel Cohnitz, Peter Pagin & Marcus Rossberg - 2014 - Erkenntnis 79 (S2):201-210.
  33. Let a Thousand Flowers Bloom: A Tour of Logical Pluralism.Roy T. Cook - 2010 - Philosophy Compass 5 (6):492-504.
    Logical pluralism is the view that there is more than one correct logic. In this article, I explore what logical pluralism is, and what it entails, by: (i) distinguishing clearly between relativism about a particular domain and pluralism about that domain; (ii) distinguishing between a number of forms logical pluralism might take; (iii) attempting to distinguish between those versions of pluralism that are clearly true and those that are might be controversial; and (iv) surveying three prominent attempts to argue for (...)
  34. Peter Hare on the Proposition.John Corcoran - 2010 - Transactions of the Charles S. Peirce Society 46 (1):21-34.
    Peter H. Hare (1935-2008) developed informed, original views about the proposition: some published (Hare 1969 and Hare-Madden 1975); some expressed in conversations at scores of meetings of the Buffalo Logic Colloquium and at dinners following. The published views were expository and critical responses to publications by Curt J. Ducasse (1881-1969), a well-known presence in American logic, a founder of the Association for Symbolic Logic and its President for one term.1Hare was already prominent in the University of Buffalo's Philosophy Department in (...)
  35. Czym jest pluralizm logiczny?(stanowisko JC Bealla i Grega Restalla).Bożena Czarnecka-Rej - 2013 - Roczniki Filozoficzne 61 (1):5-22.
    WHAT IS LOGICAL PLURALISM? (J.C. BEALL’S AND GREG RESTALL’S STANDPOINT) S u m m a r y C. Beall and Greg Restall are advocates of a comprehensive pluralist approach to logic, which they call Logical Pluralism (LP). According to LP, there is not one correct logic, but many equally acceptable logical systems. The authors share Tarski’s conviction and follow the mainstream in thinking about logic as the discipline that investigates the notion of logical consequence. LP is the pluralism about logical (...)
  36. The Present Position of Logical Theory.John Dewey - 1891 - The Monist 2 (1):1-17.
  37. A Proof-Theoretic Defence of Meaning-Invariant Logical Pluralism.Bogdan Dicher - 2016 - Mind 125 (499):727-757.
    In this paper I offer a proof-theoretic defence of meaning-invariant logical pluralism. I argue that there is a relation of co-determination between the operational and structural aspects of a logic. As a result, some features of the consequence relation are induced by the connectives. I propose that a connective is defined by those rules which are conservative and unique, while at the same time expressing only connective-induced structural information. This is the key to stabilizing the meaning of the connectives across (...)
  38. Logical Pluralism and the Meaning of the Logical Constants.Bogdan Dicher - 2014 - Dissertation, The University of Melbourne
  39. Pluralism in Logic: The Square of Opposition, Leibniz'Principle of Sufficient Reason and Markov's Principle.Antonino Drago - 2012 - In J.-Y. Beziau & Dale Jacquette (eds.), Around and Beyond the Square of Opposition. Birkhäuser. pp. 175--189.
  40. Making Sense of Logical Pluralism.Matti Eklund - forthcoming - Inquiry : An Interdisciplinary Journal of Philosophy:1-22.
    The article is centered on the question of how best to understand the logical pluralism/logical monism debate. A number of suggestions are brought up and rejected on the ground that they render the debate trivial or otherwise philosophically uninteresting. One way to make philosophical good sense of the debate is to find a canonical purpose for logic such that the monist is someone who holds that some unique logic best serves this purpose and the pluralist holds that many logics do. (...)
  41. Making Sense of Logical Pluralism.Matti Eklund - forthcoming - Inquiry : An Interdisciplinary Journal of Philosophy:1-22.
    The article is centered on the question of how best to understand the logical pluralism/logical monism debate. A number of suggestions are brought up and rejected on the ground that they render the debate trivial or otherwise philosophically uninteresting. One way to make philosophical good sense of the debate is to find a canonical purpose for logic such that the monist is someone who holds that some unique logic best serves this purpose and the pluralist holds that many logics do. (...)
  42. Multitude, Tolerance and Language-Transcendence.Matti Eklund - 2012 - Synthese 187 (3):833-847.
    Rudolf Carnap's 1930s philosophy of logic, including his adherence to the principle of tolerance, is discussed. What theses did Carnap commit himself to, exactly? I argue that while Carnap did commit himself to a certain multitude thesis—there are different logics of different languages, and the choice between these languages is merely a matter of expediency—there is no evidence that he rejected a language-transcendent notion of fact, contrary to what Warren Goldfarb and Thomas Ricketts have prominently argued. (In fact, it is (...)
  43. A Intersubjectividade Em Kant.Manuel Carmo Ferreira - 1993 - Revista Portuguesa de Filosofia 49 (4):571 - 585.
    A convergência de interpretações contemporâneas de Kant (Jacobi) e nossas contemporâneas (Apel e Habermas) na crítica ao monologismo. tanto teorético como prático, inerente à filosofia kantiana, é questionada pela emergência nesta de referências signitlcativas à ordem intersubjectiva, na defesa de um pluralismo lógico. ético e estético que culmina na concepção de uma razão comunicacional. /// La convergence d'interprétations contemporaines de Kant (Jacobi) et nos contemporaines (Apel et Habermas) dans la critique au monologisme. aussi théorétique que pratique, inhérent à la philosophie (...)
  44. Pluralism in Logic.Hartry Field - 2009 - Review of Symbolic Logic 2 (2):342-359.
    There are quite a few theses about logic that are in one way or another pluralist: they hold (i) that there is no uniquely correct logic, and (ii) that because of this, some or all debates about logic are illusory, or need to be somehow reconceived as not straightforwardly factual. Pluralist theses differ markedly over the reasons offered for there being no uniquely correct logic. Some such theses are more interesting than others, because they more radically affect how we are (...)
  45. Cotton MatherOtho T. Beall, Jr. Richard H. Shryock.Donald Fleming - 1955 - Isis 46 (4):374-376.
  46. Pluralism and Together Incompatible Philosophies of Mathematics.Michèle Friend - 2014 - In Pluralism in Mathematics: A New Position in Philosophy of Mathematics. Springer Verlag.
  47. Pluralism in Mathematics: A New Position in Philosophy of Mathematics.Michèle Friend - unknown
    The pluralist sheds the more traditional ideas of truth and ontology. This is dangerous, because it threatens instability of the theory. To lend stability to his philosophy, the pluralist trades truth and ontology for rigour and other ‘fixtures’. Fixtures are the steady goal posts. They are the parts of a theory that stay fixed across a pair of theories, and allow us to make translations and comparisons. They can ultimately be moved, but we tend to keep them fixed temporarily. Apart (...)
  48. Using a Formal Theory of Logic Metaphorically.Michèle Friend - 2014 - In Pluralism in Mathematics: A New Position in Philosophy of Mathematics. Springer Verlag.
  49. An Analysis of the Notion of Rigour in Proofs.Michele Friend & Andrea Pedeferri - 2011 - Logic and Philosophy of Science 9 (1):165-171.
    We are told that there are standards of rigour in proof, and we are told that the standards have increased over the centuries. This is fairly clear. But rigour has also changed its nature. In this paper we as-sess where these changes leave us today.1 To motivate making the new assessment, we give two illustra-tions of changes in our conception of rigour. One, concerns the shift from geometry to arithmetic as setting the standard for rig-our. The other, concerns the notion (...)
  50. Normative Models of Rational Agency: The Theoretical Disutility of Certain Approaches.Dov Gabbay & John Woods - 2003 - Logic Journal of the IGPL 11 (6):597-613.
    Much of cognitive science seeks to provide principled descriptions of various kinds and aspects of rational behaviour, especially in beings like us or AI simulacra of beings like us. For the most part, these investigators presuppose an unarticulated common sense appreciation of the rationality that such behaviour consists in. On those occasions when they undertake to bring the relevant norms to the surface and to give an account of that to which they owe their legitimacy, these investigators tend to favour (...)
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