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  1. István Aranyosi (2011). The Solo Numero Paradox. American Philosophical Quarterly 48 (4):347.
    Leibniz notoriously insisted that no two individuals differ solo numero, that is, by being primitively distinct, without differing in some property. The details of Leibniz’s own way of understanding and defending the principle –known as the principle of identity of indiscernibles (henceforth ‘the Principle’)—is a matter of much debate. However, in contemporary metaphysics an equally notorious and discussed issue relates to a case put forward by Max Black (1952) as a counter-example to any necessary and non-trivial version of the principle. (...)
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  2. Nadia Robotti Massimiliano Badino & N. Robotti (2001). Max Planck and the'Constants of Nature'. Annals of Science 58 (2):137-162.
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  3. Arvid Båve (2013). Compositional Semantics for Expressivists. Philosophical Quarterly 63 (253):633-659.
    I here propose a hitherto unnoticed possibility of solving embedding problems for noncognitivist expressivists in metaethics by appeal to Conceptual Role Semantics. I show that claims from the latter as to what constitutes various concepts can be used to define functions from states expressed by atomic sentences to states expressed by complex sentences, thereby allowing an expressivist semantics that satisfies a rather strict compositionality constraint . The proposal can be coupled with several different types of concept individuation claim , and (...)
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  4. Arvid Båve (2011). How To Precisify Quantifiers. Journal of Philosophical Logic 40 (1):103-111.
    I here argue that Ted Sider's indeterminacy argument against vagueness in quantifiers fails. Sider claims that vagueness entails precisifications, but holds that precisifications of quantifiers cannot be coherently described: they will either deliver the wrong logical form to quantified sentences, or involve a presupposition that contradicts the claim that the quantifier is vague. Assuming (as does Sider) that the “connectedness” of objects can be precisely defined, I present a counter-example to Sider's contention, consisting of a partial, implicit definition of the (...)
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  5. Francesco Berto (2006). Characterizing Negation to Face Dialetheism. Logique Et Analyse 49 (195):241-263.
  6. Francesco Berto & Graham Priest (2008). Dialetheism. Stanford Encyclopedia of Philosophy (2008).
    A dialetheia is a sentence, A, such that both it and its negation, ¬A, are true (we shall talk of sentences throughout this entry; but one could run the definition in terms of propositions, statements, or whatever one takes as her favourite truth-bearer: this would make little difference in the context). Assuming the fairly uncontroversial view that falsity just is the truth of negation, it can equally be claimed that a dialetheia is a sentence which is both true and false.
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  7. Corine Besson, Understanding the Logical Constants and Dispositions. The Baltic International Yearbook of Cognition, Logic and Communication.
    Many philosophers claim that understanding a logical constant (e.g. ‘if, then’) fundamentally consists in having dispositions to infer according to the logical rules (e.g. Modus Ponens) that fix its meaning. This paper argues that such dispositionalist accounts give us the wrong picture of what understanding a logical constant consists in. The objection here is that they give an account of understanding a logical constant which is inconsistent with what seem to be adequate manifestations of such understanding. I then outline an (...)
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  8. Corine Besson (2009). Logical Knowledge and Gettier Cases. Philosophical Quarterly 59 (234):1-19.
    Knowledge of the basic rules of logic is often thought to be distinctive, for it seems to be a case of non-inferential a priori knowledge. Many philosophers take its source to be different from those of other types of knowledge, such as knowledge of empirical facts. The most prominent account of knowledge of the basic rules of logic takes this source to be the understanding of logical expressions or concepts. On this account, what explains why such knowledge is distinctive is (...)
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  9. Thomas Bjurlöf (1978). A Note on Logical Constants. Analysis 38 (3):119 - 121.
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  10. P. Boldini (2004). The Priority of Proof: The Case of the Non-Standard Significance of Logical Constants. Revue Internationale de Philosophie 58 (230):437-447.
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  11. Denis Bonnay (2014). Logical Constants, or How to Use Invariance in Order to Complete the Explication of Logical Consequence. Philosophy Compass 9 (1):54-65.
    The problem of logical constants consists in finding a principled way to draw the line between those expressions of a language that are logical and those that are not. The criterion of invariance under permutation, attributed to Tarski, is probably the most common answer to this problem, at least within the semantic tradition. However, as the received view on the matter, it has recently come under heavy attack. Does this mean that the criterion should be amended, or maybe even that (...)
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  12. Denis Bonnay (2006). Logicality and Invariance. Bulletin of Symbolic Logic 14 (1):29-68.
    What is a logical constant? The question is addressed in the tradition of Tarski's definition of logical operations as operations which are invariant under permutation. The paper introduces a general setting in which invariance criteria for logical operations can be compared and argues for invariance under potential isomorphism as the most natural characterization of logical operations.
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  13. R. T. Brady (1977). Unspecified constants in predicate calculus and first-order theories. Logique Et Analyse 20 (79):229.
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  14. Otávio Bueno & Scott A. Shalkowski (2013). Logical Constants: A Modalist Approach 1. Noûs 47 (1):1-24.
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  15. Michael Byrd (1989). Russell, Logicism, and the Choice of Logical Constants. Notre Dame Journal of Formal Logic 30 (3):343-361.
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  16. John Cantwell (2014). Unity and Autonomy in Expressivist Logic. Dialectica 68 (3):443-457.
    It is argued that expressivists can solve their problems in accounting for the unity and autonomy of logic – logic is topic independent and does not derive from a general ‘logic’ of mental states – by adopting an analysis of the logical connectives that takes logically complex sentences to express complex combinations of simple attitudes like belief and disapproval and dispositions to form such simple attitudes upon performing suppositional acts, and taking acceptance and rejection of sentences to be the common (...)
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  17. Paolo Casalegno† (2004). Logical Concepts and Logical Inferences. Dialectica 58 (3):395–411.
    Some philosophers find the following thesis attractive: for every logical constant C there is a set of logical rules of inference R such that a subject knows the meaning of C if and only if she accepts the rules in R. I point out some obvious but, apparently, easily forgotten difficulties concerning this thesis.
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  18. Enrique Casanovas (2007). Logical Operations and Invariance. Journal of Philosophical Logic 36 (1):33 - 60.
    I present a notion of invariance under arbitrary surjective mappings for operators on a relational finite type hierarchy generalizing the so-called Tarski-Sher criterion for logicality and I characterize the invariant operators as definable in a fragment of the first-order language. These results are compared with those obtained by Feferman and it is argued that further clarification of the notion of invariance is needed if one wants to use it to characterize logicality.
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  19. J. A. Chadwick (1927). Logical Constants. Mind 36 (141):1-11.
    There is as yet no settled consensus as to what makes a term a logical constant or even as to which terms should be recognized as having this status. This essay sets out and defends a rationale for identifying logical constants. I argue for a two-tiered approach to logical theory. First, a secure, core logical theory recognizes only a minimal set of constants needed for deductively systematizing scientific theories. Second, there are extended logical theories whose objectives are to systematize various (...)
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  20. John Corcoran & José Miguel Sagüillo (2011). The Absence of Multiple Universes of Discourse in the 1936 Tarski Consequence-Definition Paper. History and Philosophy of Logic 32 (4):359 - 374.
    This paper discusses the history of the confusion and controversies over whether the definition of consequence presented in the 11-page 1936 Tarski consequence-definition paper is based on a monistic fixed-universe framework?like Begriffsschrift and Principia Mathematica. Monistic fixed-universe frameworks, common in pre-WWII logic, keep the range of the individual variables fixed as the class of all individuals. The contrary alternative is that the definition is predicated on a pluralistic multiple-universe framework?like the 1931 Gödel incompleteness paper. A pluralistic multiple-universe framework recognizes multiple (...)
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  21. John Corcoran & Alfred Tarski (1986). What Are Logical Notions? History and Philosophy of Logic 7 (2):143-154.
    In this manuscript, published here for the first time, Tarski explores the concept of logical notion. He draws on Klein's Erlanger Programm to locate the logical notions of ordinary geometry as those invariant under all transformations of space. Generalizing, he explicates the concept of logical notion of an arbitrary discipline.
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  22. Sean Coyle (1999). The Meanings of the Logical Constants in Deontic Logic. Ratio Juris 12 (1):39-58.
  23. Marcello D'Agostino (forthcoming). Analytic Inference and the Informational Meaning of the Logical Operators. Logique Et Analyse.
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  24. Charles B. Daniels (1987). A First-Order Logic with No Logical Constants. Notre Dame Journal of Formal Logic 28 (3):408-413.
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  25. Gustavo Fernández Díez (2000). Five Observations Concerning the Intended Meaning of the Intuitionistic Logical Constants. Journal of Philosophical Logic 29 (4):409-424.
    This paper contains five observations concerning the intended meaning of the intuitionistic logical constants: (1) if the explanations of this meaning are to be based on a non-decidable concept, that concept should not be that of 'proof'; (2) Kreisel's explanations using extra clauses can be significantly simplified; (3) the impredicativity of the definition of → can be easily and safely ameliorated; (4) the definition of → in terms of 'proofs from premises' results in a loss of the inductive character of (...)
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  26. Gustavo Fernández Díez (2000). Kolmogorov, Heyting and Gentzen on the Intuitionistic Logical Constants. Critica 32 (96):43 - 57.
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  27. Kosta Došen (1989). Logical Constants as Punctuation Marks. Notre Dame Journal of Formal Logic 30 (3):362-381.
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  28. Catarina Dutilh Novaes (2012). Reassessing Logical Hylomorphism and the Demarcation of Logical Constants. Synthese 185 (3):387-410.
    The paper investigates the propriety of applying the form versus matter distinction to arguments and to logic in general. Its main point is that many of the currently pervasive views on form and matter with respect to logic rest on several substantive and even contentious assumptions which are nevertheless uncritically accepted. Indeed, many of the issues raised by the application of this distinction to arguments seem to be related to a questionable combination of different presuppositions and expectations; this holds in (...)
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  29. Catarina Dutilh Novaes (2012). Reassessing Logical Hylomorphism and the Demarcation of Logical Constants. Synthese 185 (3):387-410.
    The paper investigates the propriety of applying the form versus matter distinction to arguments and to logic in general. Its main point is that many of the currently pervasive views on form and matter with respect to logic rest on several substantive and even contentious assumptions which are nevertheless uncritically accepted. Indeed, many of the issues raised by the application of this distinction to arguments seem to be related to a questionable combination of different presuppositions and expectations; this holds in (...)
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  30. Dorothy Edgington (2006). The Pragmatics of the Logical Constants. In Ernest Lepore & Barry Smith (eds.), The Oxford Handbook of Philosophy of Language. Oxford University Press. 768--793.
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  31. Jim Edwards (2002). Theories of Meaning and Logical Constants: Davidson Versus Evans. Mind 111 (442):249-280.
    Donald Dvaidson has claimed that a theory of meaning identifies the logical constants of the object language by treating them in the phrasal axioms of the theory, and that the theory entails a relation of logical consequence among the sentences of the object language. Section 1 offers a preliminary investigation of these claims. In Section 2 the claims are rebutted by appealing to Evans's paradigm of a theory of meaning. Evans's theory is deliberately blind to any relation of logical consequence (...)
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  32. Simon J. Evnine (2001). The Universality of Logic: On the Connection Between Rationality and Logical Ability. Mind 110 (438):335-367.
    I argue for the thesis (UL) that there are certain logical abilities that any rational creature must have. Opposition to UL comes from naturalized epistemologists who hold that it is a purely empirical question which logical abilities a rational creature has. I provide arguments that any creatures meeting certain conditions—plausible necessary conditions on rationality—must have certain specific logical concepts and be able to use them in certain specific ways. For example, I argue that any creature able to grasp theories must (...)
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  33. Simon J. Evnine (1999). Believing Conjunctions. Synthese 118 (2):201-227.
    I argue that it is rational for a person to believe the conjunction of her beliefs. This involves responding to the Lottery and Preface Paradoxes. In addition, I suggest that in normal circumstances, what it is to believe a conjunction just is to believe its conjuncts.
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  34. G. Fernandez (2000). Bruower's Understanding of the Logical Constants. Indian Philosophical Quarterly 27 (3):215-228.
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  35. William C. Frederick (1995). The Search for Ethical Constants. The Ruffin Series in Business Ethics:282-282.
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  36. Mario Gomez-Torrente (2002). The Problem of Logical Constants. Bulletin of Symbolic Logic 8 (1):1-37.
    There have been several different and even opposed conceptions of the problem of logical constants, i.e. of the requirements that a good theory of logical constants ought to satisfy. This paper is in the first place a survey of these conceptions and a critique of the theories they have given rise to. A second aim of the paper is to sketch some ideas about what a good theory would look like. A third aim is to draw from these ideas and (...)
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  37. Stuart Greenstreet (2012). Reason as a Universal Constant. Philosopht Now 90 (90):29-31.
    Analyses C S Lewis's argument for the existence of 'something in addition to nature' - i.e., something which is of a kind that neither depends on nature's interlocking system, nor could be explained as being a necessary product of it. This singular exceptional item, Lewis argued, is rational thought, 'which is not part of the system of nature'.
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  38. Ole T. Hjortland, Harmony and the Context of Deducibility.
    The philosophical discussion about logical constants has only recently moved into the substructural era. While philosophers have spent a lot of time discussing the meaning of logical constants in the context of classical versus intuitionistic logic, very little has been said about the introduction of substruc-tural connectives. Linear logic, affine logic and other substructural logics offer a more fine-grained perspective on basic connectives such as conjunction and disjunction, a perspective which I believe will also shed light on debates in the (...)
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  39. Ole T. Hjortland, The Structure of Logical Consequence : Proof-Theoretic Conceptions.
    The model-theoretic analysis of the concept of logical consequence has come under heavy criticism in the last couple of decades. The present work looks at an alternative approach to logical consequence where the notion of inference takes center stage. Formally, the model-theoretic framework is exchanged for a proof-theoretic framework. It is argued that contrary to the traditional view, proof-theoretic semantics is not revisionary, and should rather be seen as a formal semantics that can supplement model-theory. Specifically, there are formal resources (...)
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  40. Philip Hugly & Charles Sayward (1998). Kripke on Necessity and Identity. Philosophical Papers 27 (3):151-159.
    It may be that all that matters for the modalities, possibility and necessity, is the object named by the proper name, not which proper name names it. An influential defender of this view is Saul Kripke. Kripke’s defense is criticized in the paper.
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  41. Luca Incurvati & Peter Smith (2012). Is 'No' a Force-Indicator? Sometimes, Possibly. Analysis 72 (2):225-231.
    Some bilateralists have suggested that some of our negative answers to yes-or-no questions are cases of rejection. Mark Textor (2011. Is ‘no’ a force-indicator? No! Analysis 71: 448–56) has recently argued that this suggestion falls prey to a version of the Frege-Geach problem. This note reviews Textor's objection and shows why it fails. We conclude with some brief remarks concerning where we think that future attacks on bilateralism should be directed.
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  42. Luca Incurvati & Peter Smith (2010). Rejection and Valuations. Analysis 70 (1):3 - 10.
    Timothy Smiley's wonderful paper 'Rejection' (Analysis 1996) is still perhaps not as well known or well understood as it should be. This note first gives a quick presentation of themes from that paper, though done in our own way, and then considers a putative line of objection - recently advanced by Julien Murzi and Ole Hjortland (Analysis 2009) - to one of Smiley's key claims. Along the way, we consider the prospects for an intuitionistic approach to some of the issues (...)
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  43. Steven T. Kuhn (1981). Logical Expressions, Constants, and Operator Logic. Journal of Philosophy 78 (9):487-499.
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  44. Nils Kürbis (forthcoming). Proof-Theoretic Semantics, a Problem with Negation and Prospects for Modality. Journal of Philosophical Logic:1-15.
    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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  45. Nils Kurbis (forthcoming). What is Wrong with Classical Negation? Grazer Philosophische Studien.
    The focus of this paper are Dummett's meaning-theoretical arguments against classical logic based on consideration about the meaning of negation. Using Dummettian principles, I shall outline three such arguments, of increasing strength, and show that they are unsuccessful by giving responses to each argument on behalf of the classical logician. What is crucial is that in responding to these arguments a classicist need not challenge any of the basic assumptions of Dummett's outlook on the theory of meaning. In particular, I (...)
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  46. Nils Kürbis (2008). Stable Harmony. In Peliš Michal (ed.), Logica Yearbook 2007.
    In this paper, I'll present a general way of "reading off" introduction/elimination rules from elimination/introduction rules, and define notions of harmony and stability on the basis of it.
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  47. William G. Lycan (1989). Logical Constants and the Glory of Truth-Conditional Semantics. Notre Dame Journal of Formal Logic 30 (3):390-400.
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  48. John MacFarlane (2008). Brandom's Demarcation of Logic. Philosophical Topics 36 (2):55-62.
    This is a lightly edited version of my comments on Brandom’s Lecture 2, as delivered in Prague at the “Prague Locke Lectures” in April, 2007. I try to say why Brandom’s proposed demarcation is significant, by placing it in a broader context of demarcation proposals from Kant to the twentieth century. I then raise some questions about the basic ingredients of Brandom’s demarcation—the notions of PP-sufficiency and VP-sufficiency—and question whether the vocabulary of conditionals, Brandom’s paradigm for logical vocabulary, can be (...)
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  49. John MacFarlane, Logical Constants. Mind.
    Logic is usually thought to concern itself only with features that sentences and arguments possess in virtue of their logical structures or forms. The logical form of a sentence or argument is determined by its syntactic or semantic structure and by the placement of certain expressions called “logical constants.”[1] Thus, for example, the sentences Every boy loves some girl. and Some boy loves every girl. are thought to differ in logical form, even though they share a common syntactic and semantic (...)
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  50. Timothy McCarthy (1987). Modality, Invariance, and Logical Truth. Journal of Philosophical Logic 16 (4):423 - 443.
    Let us sum up. We began with the question, “What is the interest of a model-theoretic definition of validity?” Model theoretic validity consists in truth under all reinterpretations of non-logical constants. In this paper, we have described for each necessity concept a corresponding modal invariance property. Exemplification of that property by the logical constants of a language leads to an explanation of the necessity, in the corresponding sense, of its valid sentences. I have fixed upon the epistemic modalities in characterizing (...)
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