Results for 'logic of conditionals'

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  1. The Logic of Conditional Belief.Benjamin Eva - 2020 - Philosophical Quarterly 70 (281):759-779.
    The logic of indicative conditionals remains the topic of deep and intractable philosophical disagreement. I show that two influential epistemic norms—the Lockean theory of belief and the Ramsey test for conditional belief—are jointly sufficient to ground a powerful new argument for a particular conception of the logic of indicative conditionals. Specifically, the argument demonstrates, contrary to the received historical narrative, that there is a real sense in which Stalnaker’s semantics for the indicative did succeed in capturing (...)
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  2.  36
    The Logic of Design as a Conceptual Logic of Information.Luciano Floridi - 2017 - Minds and Machines 27 (3):495-519.
    In this article, I outline a logic of design of a system as a specific kind of conceptual logic of the design of the model of a system, that is, the blueprint that provides information about the system to be created. In section two, I introduce the method of levels of abstraction as a modelling tool borrowed from computer science. In section three, I use this method to clarify two main conceptual logics of information inherited from modernity: Kant’s (...)
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  3. A Uniform Theory of Conditionals.William B. Starr - 2014 - Journal of Philosophical Logic 43 (6):1019-1064.
    A uniform theory of conditionals is one which compositionally captures the behavior of both indicative and subjunctive conditionals without positing ambiguities. This paper raises new problems for the closest thing to a uniform analysis in the literature (Stalnaker, Philosophia, 5, 269–286 (1975)) and develops a new theory which solves them. I also show that this new analysis provides an improved treatment of three phenomena (the import-export equivalence, reverse Sobel-sequences and disjunctive antecedents). While these results concern central issues in (...)
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  4. The Logicality of Language: A New Take on Triviality, “Ungrammaticality”, and Logical Form.Guillermo Del Pinal - 2019 - Noûs 53 (4):785-818.
    Recent work in formal semantics suggests that the language system includes not only a structure building device, as standardly assumed, but also a natural deductive system which can determine when expressions have trivial truth-conditions (e.g., are logically true/false) and mark them as unacceptable. This hypothesis, called the `logicality of language', accounts for many acceptability patterns, including systematic restrictions on the distribution of quantifiers. To deal with apparent counter-examples consisting of acceptable tautologies and contradictions, the logicality of language is often paired (...)
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  5. Consequences of Conditional Excluded Middle.Jeremy Goodman - manuscript
    Conditional excluded middle (CEM) is the following principe of counterfactual logic: either, if it were the case that φ, it would be the case that ψ, or, if it were the case that φ, it would be the case that not-ψ. I will first show that CEM entails the identity of indiscernibles, the falsity of physicalism, and the failure of the modal to supervene on the categorical and of the vague to supervene on the precise. I will then argue (...)
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  6. The Logicality of Language: A New Take on Triviality, `Ungrammaticality', and Logical Form.Guillermo Del Pinal - 2019 - Noûs 53 (4):785-818.
    Recent work in formal semantics suggests that the language system includes not only a structure building device, as standardly assumed, but also a natural deductive system which can determine when expressions have trivial truth‐conditions (e.g., are logically true/false) and mark them as unacceptable. This hypothesis, called the ‘logicality of language’, accounts for many acceptability patterns, including systematic restrictions on the distribution of quantifiers. To deal with apparent counter‐examples consisting of acceptable tautologies and contradictions, the logicality of language is often paired (...)
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  7. Non-Analytic Tableaux for Chellas's Conditional Logic CK and Lewis's Logic of Counterfactuals VC.Richard Zach - 2018 - Australasian Journal of Logic 15 (3):609-628.
    Priest has provided a simple tableau calculus for Chellas's conditional logic Ck. We provide rules which, when added to Priest's system, result in tableau calculi for Chellas's CK and Lewis's VC. Completeness of these tableaux, however, relies on the cut rule.
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  8. A Theory of Conditional Assertion.Simon Goldstein - 2019 - Journal of Philosophy 116 (6):293-318.
    According to one tradition, uttering an indicative conditional involves performing a special sort of speech act: a conditional assertion. We introduce a formal framework that models this speech act. Using this framework, we show that any theory of conditional assertion validates several inferences in the logic of conditionals, including the False Antecedent inference. Next, we determine the space of truth-conditional semantics for conditionals consistent with conditional assertion. The truth value of any such conditional is settled whenever the (...)
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  9. A Semantic Constraint on the Logic of Modal Conditionals.Zsófia Zvolenszky - 2006 - Proceedings of the Ninth Symposium on Logic and Language (LoLa 9).
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  10. The Logic of Theory Assessment.Franz Huber - 2007 - Journal of Philosophical Logic 36 (5):511-538.
    This paper starts by indicating the analysis of Hempel's conditions of adequacy for any relation of confirmation (Hempel, 1945) as presented in Huber (submitted). There I argue contra Carnap (1962, Section 87) that Hempel felt the need for two concepts of confirmation: one aiming at plausible theories and another aiming at informative theories. However, he also realized that these two concepts are conflicting, and he gave up the concept of confirmation aiming at informative theories. The main part of the paper (...)
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  11. Modus Ponens and the Logic of Decision.Nate Charlow - forthcoming - Journal of Philosophical Logic.
    If modus ponens is valid, then you should take up smoking.
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  12. A 4-Valued Logic of Strong Conditional.Fabien Schang - 2018 - South American Journal of Logic 3 (1):59-86.
    How to say no less, no more about conditional than what is needed? From a logical analysis of necessary and sufficient conditions (Section 1), we argue that a stronger account of conditional can be obtained in two steps: firstly, by reminding its historical roots inside modal logic and set-theory (Section 2); secondly, by revising the meaning of logical values, thereby getting rid of the paradoxes of material implication whilst showing the bivalent roots of conditional as a speech-act based on (...)
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  13. Causal Models and the Logic of Counterfactuals.Jonathan Vandenburgh - manuscript
    Causal models provide a framework for making counterfactual predictions, making them useful for evaluating the truth conditions of counterfactual sentences. However, current causal models for counterfactual semantics face limitations compared to the alternative similarity-based approach: they only apply to a limited subset of counterfactuals and the connection to counterfactual logic is not straightforward. This paper argues that these limitations arise from the theory of interventions where intervening on variables requires changing structural equations rather than the values of variables. Using (...)
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  14. The Logic of Confirmation.Franz Huber - 2005 - In O. Neumaier, C. Sedmak & M. Zichy (eds.), Philosophische Perspektiven. Beiträge zum VII. Internationalen Kongress der ÖGP. Ontos.
    The paper presents a new analysis of Hempel’s conditions of adequacy, differing from the one in Carnap. Hempel, so it is argued, felt the need for two concepts of confirmation: one aiming at true theories, and another aiming at informative theories. However, so the analysis continues, he also realized that these two concepts were conflicting, and so he gave up the concept of confirmation aiming at informative theories. It is then shown that one can have the cake and eat it: (...)
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  15. Hempel’s Logic of Confirmation.Franz Huber - 2008 - Philosophical Studies 139 (2):181-189.
    This paper presents a new analysis of C.G. Hempel’s conditions of adequacy for any relation of confirmation [Hempel C. G. (1945). Aspects of scientific explanation and other essays in the philosophy of science. New York: The Free Press, pp. 3–51.], differing from the one Carnap gave in §87 of his [1962. Logical foundations of probability (2nd ed.). Chicago: University of Chicago Press.]. Hempel, it is argued, felt the need for two concepts of confirmation: one aiming at true hypotheses and another (...)
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  16. On Strengthening the Logic of Iterated Belief Revision: Proper Ordinal Interval Operators.Jake Chandler & Richard Booth - 2018 - In Michael Thielscher, Francesca Toni & Frank Wolter (eds.), Proceedings of the Sixteenth International Conference on Principles of Knowledge Representation and Reasoning (KR2018). Palo Alto, CA, USA: pp. 210-219.
    Darwiche and Pearl’s seminal 1997 article outlined a number of baseline principles for a logic of iterated belief revision. These principles, the DP postulates, have been supplemented in a number of alternative ways. Most suggestions have resulted in a form of ‘reductionism’ that identifies belief states with orderings of worlds. However, this position has recently been criticised as being unacceptably strong. Other proposals, such as the popular principle (P), aka ‘Independence’, characteristic of ‘admissible’ operators, remain commendably more modest. In (...)
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  17. Introduction to the Logic of Definitions.Barry Smith - 2013 - In International Workshop on Definitions in Ontologies, organized in conjunction with the Fourth International Conference on Biomedical Ontology (ICBO), Montreal, July 7, 2013, (CEUR, 1061). pp. 1-2.
    What follows is a summary of basic principles pertaining to the definitions used in constructing an ontology. A definition is a statement of necessary and sufficient conditions. What this means in the simplest case can be understood as follows. To say that ɸ‐ing is a necessary condition for being an A is just another way of saying that every A ɸ’s; to say that ɸ‐ing is a sufficient condition for being an A is just another way of saying that everything (...)
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  18. Deontic Logic as a Study of Conditions of Rationality in Norm-Related Activities.Berislav Žarnić - 2016 - In Olivier Roy, Allard Tamminga & Malte Willer (eds.), Deontic Logic and Normative Systems. College Publications. pp. 272-287.
    The program put forward in von Wright's last works defines deontic logic as ``a study of conditions which must be satisfied in rational norm-giving activity'' and thus introduces the perspective of logical pragmatics. In this paper a formal explication for von Wright's program is proposed within the framework of set-theoretic approach and extended to a two-sets model which allows for the separate treatment of obligation-norms and permission norms. The three translation functions connecting the language of deontic logic with (...)
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  19.  56
    Conditional Random Quantities and Compounds of Conditionals.Angelo Gilio & Giuseppe Sanfilippo - 2014 - Studia Logica 102 (4):709-729.
    In this paper we consider conditional random quantities (c.r.q.’s) in the setting of coherence. Based on betting scheme, a c.r.q. X|H is not looked at as a restriction but, in a more extended way, as \({XH + \mathbb{P}(X|H)H^c}\) ; in particular (the indicator of) a conditional event E|H is looked at as EH + P(E|H)H c . This extended notion of c.r.q. allows algebraic developments among c.r.q.’s even if the conditioning events are different; then, for instance, we can give a (...)
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  20. The Logical Vs. The Ontological Understanding of Conditions.Rögnvaldur Ingthorsson - 2008 - Metaphysica 9 (2):129-137.
    According to the truth-functional analysis of conditions, to be ‘necessary for’ and ‘sufficient for’ are converse relations. From this, it follows that to be ‘necessary and sufficient for’ is a symmetric relation, that is, that if P is a necessary and sufficient condition for Q, then Q is a necessary and sufficient condition for P. This view is contrary to common sense. In this paper, I point out that it is also contrary to a widely accepted ontological view of conditions, (...)
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  21. The Logic of Causation: Definition, Induction and Deduction of Deterministic Causality.Avi Sion - 2010 - Geneva, Switzerland: CreateSpace & Kindle; Lulu..
    The Logic of Causation: Definition, Induction and Deduction of Deterministic Causality is a treatise of formal logic and of aetiology. It is an original and wide-ranging investigation of the definition of causation (deterministic causality) in all its forms, and of the deduction and induction of such forms. The work was carried out in three phases over a dozen years (1998-2010), each phase introducing more sophisticated methods than the previous to solve outstanding problems. This study was intended as part (...)
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  22. Conjunction, Disjunction and Iterated Conditioning of Conditional Events.Angelo Gilio & Giuseppe Sanfilippo - 2013 - In R. Kruse (ed.), Advances in Intelligent Systems and Computing. Springer.
    Starting from a recent paper by S. Kaufmann, we introduce a notion of conjunction of two conditional events and then we analyze it in the setting of coherence. We give a representation of the conjoined conditional and we show that this new object is a conditional random quantity, whose set of possible values normally contains the probabilities assessed for the two conditional events. We examine some cases of logical dependencies, where the conjunction is a conditional event; moreover, we give the (...)
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  23. The Logic of Confirmation and Theory Assessment.Franz Huber - 2005 - In L. Behounek & M. Bilkova (eds.), The Logica Yearbook. Filosofia.
    This paper discusses an almost sixty year old problem in the philosophy of science -- that of a logic of confirmation. We present a new analysis of Carl G. Hempel's conditions of adequacy (Hempel 1945), differing from the one Carnap gave in §87 of his Logical Foundations of Probability (1962). Hempel, it is argued, felt the need for two concepts of confirmation: one aiming at true theories and another aiming at informative theories. However, he also realized that these two (...)
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  24.  46
    Generalized Logical Operations Among Conditional Events.Angelo Gilio & Giuseppe Sanfilippo - 2019 - Applied Intelligence 49:79-102.
    We generalize, by a progressive procedure, the notions of conjunction and disjunction of two conditional events to the case of n conditional events. In our coherence-based approach, conjunctions and disjunctions are suitable conditional random quantities. We define the notion of negation, by verifying De Morgan’s Laws. We also show that conjunction and disjunction satisfy the associative and commutative properties, and a monotonicity property. Then, we give some results on coherence of prevision assessments for some families of compounded conditionals; in (...)
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  25. The Logic of Salvation in the Gospel of John.Daniel R. Kern - 2015 - Philosophy and Theology 27 (1):171-187.
    I evaluate two claims; that (a) Jesus’ message as recorded in the gospels implies exclusivism with respect to salvation and that, correspondingly, (b) Christians should be exclusivists with respect to salvation. I evaluate these claims through a cataloguing and evaluation of the logical condition involved in each of the claims regarding conditions for salvation made by Jesus in the Gospel of John. As a result, I argue that (a) is false and that, correspondingly, so is (b).
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  26. Conditionals in Theories of Truth.Anil Gupta & Shawn Standefer - 2017 - Journal of Philosophical Logic 46 (1):27-63.
    We argue that distinct conditionalsconditionals that are governed by different logics—are needed to formalize the rules of Truth Introduction and Truth Elimination. We show that revision theory, when enriched with the new conditionals, yields an attractive theory of truth. We go on to compare this theory with one recently proposed by Hartry Field.
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  27. Future Logic: Categorical and Conditional Deduction and Induction of the Natural, Temporal, Extensional, and Logical Modalities.Avi Sion - 1996 - Geneva, Switzerland: CreateSpace & Kindle; Lulu..
    Future Logic is an original, and wide-ranging treatise of formal logic. It deals with deduction and induction, of categorical and conditional propositions, involving the natural, temporal, extensional, and logical modalities. Traditional and Modern logic have covered in detail only formal deduction from actual categoricals, or from logical conditionals (conjunctives, hypotheticals, and disjunctives). Deduction from modal categoricals has also been considered, though very vaguely and roughly; whereas deduction from natural, temporal and extensional forms of conditioning has been (...)
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  28. Reconsidering the Logic of Emotion.Simone Gozzano - 2013 - Philosophia 41 (3):787-794.
    It is customarily assumed that propositional attitudes present two independent components: a propositional component and a psychological component, in the form of an attitude. These two components are caught by means of two different methods: propositions by some model theoretic theory, psychological attitudes by making appeal to their functional or psychological role. Some authors have seek a convergence by individuating propositions by Functional role semantics. In this paper I show that when it comes to emotional attitudes with propositional content, either (...)
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  29. Extending Dynamic Doxastic Logic: Accommodating Iterated Beliefs And Ramsey Conditionals Within DDL.Sten Lindström & Wiodek Rabinowicz - 1997 - In Lars Lindahl, Paul Needham & Ryszard Sliwinski (eds.), For Good Measure. Uppsala, Sverige:
    In this paper we distinguish between various kinds of doxastic theories. One distinction is between informal and formal doxastic theories. AGM-type theories of belief change are of the former kind, while Hintikka’s logic of knowledge and belief is of the latter. Then we distinguish between static theories that study the unchanging beliefs of a certain agent and dynamic theories that investigate not only the constraints that can reasonably be imposed on the doxastic states of a rational agent but also (...)
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  30. Down Girl: The Logic of Misogyny, by Kate Manne. [REVIEW]Nora Berenstain - 2019 - Mind 128 (512):1360-1371.
    Kate Manne’s Down Girl: The Logic of Misogyny combines traditional conceptual analysis and feminist conceptual engineering with critical exploration of cases drawn from popular culture and current events in order to produce an ameliorative account of misogyny, i.e., one that will help address the problems of misogyny in the actual world. A feminist account of misogyny that is both intersectional and ameliorative must provide theoretical tools for recognizing misogyny in its many-dimensional forms, as it interacts and overlaps with other (...)
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  31. Semantical Analysis of Weak Kleene Logics.Roberto Ciuni & Massimiliano Carrara - 2019 - Journal of Applied Non-Classical Logics 29 (1):1-36.
    This paper presents a semantical analysis of the Weak Kleene Logics Kw3 and PWK from the tradition of Bochvar and Halldén. These are three-valued logics in which a formula takes the third value if at least one of its components does. The paper establishes two main results: a characterisation result for the relation of logical con- sequence in PWK – that is, we individuate necessary and sufficient conditions for a set.
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  32. Life, Logic, and the Pursuit of Purity.Alexander T. Englert - 2016 - Hegel-Studien 50:63-95.
    In the *Science of Logic*, Hegel states unequivocally that the category of “life” is a strictly logical, or pure, form of thinking. His treatment of actual life – i.e., that which empirically constitutes nature – arises first in his *Philosophy of Nature* when the logic is applied under the conditions of space and time. Nevertheless, many commentators find Hegel’s development of this category as a purely logical one especially difficult to accept. Indeed, they find this development only comprehensible (...)
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  33. Why Are There No Conditionals in Aristotle’s Logic?David Ebrey - 2015 - Journal of the History of Philosophy 53 (2):185-205.
    Aristotle presents a formal logic in the Prior Analytics in which the premises and conclusions are never conditionals. In this paper I argue that he did not simply overlook conditionals, nor does their absence reflect a metaphysical prejudice on his part. Instead, he thinks that arguments with conditionals cannot be syllogisms because of the way he understands the explanatory requirement in the definition of a syllogism: the requirement that the conclusion follow because of the premises. The (...)
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  34. Logic and Existence: Deleuze on the “Conditions of the Real”.Daniel W. Smith - 2011 - Chiasmi International 13:361-377.
    Logique et existenceDeleuze à propos des « conditions du réel »Pour Deleuze, l’un des problèmes fondamentaux d’une théorie de la pensée est de savoir comment la pensée peut quitter la sphère du possible pour penser le réel, c’est-àdire pour penser l’existence elle-même. La position du réel semble être hors du concept. Des pré-kantiens comme Leibniz approchaient ce problème par le biais de la distinction entre vérités d’essence et vérités d’existence, alors que des post-kantiens comme Maimon l’approchaient par la distinction entre (...)
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  35. The Ramsey Test and the Indexicality of Conditionals: A Proposed Resolution of Gärdenfors' Paradox.Sten Lindström - 1996 - In André Fuhrmann & Hans Rott (eds.), Logic, Action and Information. de Gruyter.
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  36.  21
    Logically-Consistent Hypothesis Testing and the Hexagon of Oppositions.Julio Michael Stern, Rafael Izbicki, Luis Gustavo Esteves & Rafael Bassi Stern - 2017 - Logic Journal of the IGPL 25 (5):741-757.
    Although logical consistency is desirable in scientific research, standard statistical hypothesis tests are typically logically inconsistent. To address this issue, previous work introduced agnostic hypothesis tests and proved that they can be logically consistent while retaining statistical optimality properties. This article characterizes the credal modalities in agnostic hypothesis tests and uses the hexagon of oppositions to explain the logical relations between these modalities. Geometric solids that are composed of hexagons of oppositions illustrate the conditions for these modalities to be logically (...)
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  37. Logical Conceptualization of Knowledge on the Notion of Language Communication.Urszula Wybraniec-Skardowska - 2017 - Studies in Logic, Grammar and Rhetoric 52 (1):247-269.
    The main objective of the paper is to provide a conceptual apparatus of a general logical theory of language communication. The aim of the paper is to outline a formal-logical theory of language in which the concepts of the phenomenon of language communication and language communication in general are defined and some conditions for their adequacy are formulated. The theory explicates the key notions of contemporary syntax, semantics, and pragmatics. The theory is formalized on two levels: token-level and type-level. As (...)
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  38.  58
    Three Epistemic Paralogisms, One Logic of Utterances.Fabien Schang - 2010 - In P.-E. Bour & M. Rebuschi & L. Rollet (ed.), Construction. Festschrift for Gerhard Heinzmann. pp. 407-416.
    Assuming that a paralogism is an unintentionally invalid reasoning, we give an exampli.
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  39.  49
    Postpositivism and the Logic of the Avant-Garde.Serge Grigoriev - 2019 - History and Theory 58 (1):89-111.
    The purpose of this paper is to explore the conditions under which the post-positivist interest in rewriting or reinterpreting history could operate legitimately from an historical point of view. The first part of the paper outlines and explains some of the key thematic elements of historical post-positivism. The second, proceeds to investigate how these elements can be configured and related to each other within Arthur Danto’s influential account of the development of contemporary art, and especially the avant-garde. The intention is (...)
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  40. The Conditions of the Question: What Is Philosophy?Gilles Deleuze, Daniel W. Smith & Arnold I. Davidson - 1991 - Critical Inquiry 17 (3):471-478.
    Perhaps the question “What is philosophy?” can only be posed late in life, when old age has come, and with it the time to speak in concrete terms. It is a question one poses when one no longer has anything to ask for, but its consequences can be considerable. One was asking the question before, one never ceased asking it, but it was too artificial, too abstract; one expounded and dominated the question, more than being grabbed by it. There are (...)
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  41.  8
    'Deduction' Versus 'Inference' and the Denotation of Conditional Sentences.Carsten Breul - manuscript
    The paper defends a variant of the material implication approach to the meaning of conditional sentences against some arguments that are considered to be widely subscribed to and/or important in the philosophical, psychological and linguistic literature. These arguments are shown to be wrong, debatable, or to miss their aim if the truth conditions defining material implication are viewed as determining nothing but the denotation of conditional sentences and if the function of conditional sentences in deduction (logic) is focused on (...)
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  42. Generation of Biological Patterns and Form: Some Physical, Mathematical and Logical Aspects.Alfred Gierer - 1981 - Progress in Biophysics and Molecular Biology 37 (1):1-48.
    While many different mechanisms contribute to the generation of spatial order in biological development, the formation of morphogenetic fields which in turn direct cell responses giving rise to pattern and form are of major importance and essential for embryogenesis and regeneration. Most likely the fields represent concentration patterns of substances produced by molecular kinetics. Short range autocatalytic activation in conjunction with longer range “lateral” inhibition or depletion effects is capable of generating such patterns (Gierer and Meinhardt, 1972). Non-linear reactions are (...)
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  43. Rivalry, Normativity, and the Collapse of Logical Pluralism.Erik Stei - 2020 - Inquiry: An Interdisciplinary Journal of Philosophy 63 (3-4):411-432.
    Logical pluralism is the view that there is more than one correct logic. This very general characterization gives rise to a whole family of positions. I argue that not all of them are stable. The main argument in the paper is inspired by considerations known as the “collapse problem”, and it aims at the most popular form of logical pluralism advocated by JC Beall and Greg Restall. I argue that there is a more general argument available that challenges all (...)
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  44. Indicative Conditionals: Probabilities and Relevance.Franz Berto & Aybüke Özgün - 2021 - Philosophical Studies.
    We propose a new account of indicative conditionals, giving acceptability and logical closure conditions for them. We start from Adams’ Thesis: the claim that the acceptability of a simple indicative equals the corresponding conditional probability. The Thesis is widely endorsed, but arguably false and refuted by empirical research. To fix it, we submit, we need a relevance constraint: we accept a simple conditional 'If φ, then ψ' to the extent that (i) the conditional probability p(ψ|φ) is high, provided that (...)
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  45. Austinian Ifs Revisited – And Squared Away with the Equivalence Thesis and the Theory of Conditional Elements.Joseph S. Fulda - 2012 - RASK 36:51-71.
    This paper deals with Austinian ifs of every stripe within classical logic. It is argued that they are truth-functional and the theory of conditional elements is used. Ellipsis is key. Corrects an error in Fulda (2010) in translation and therefore scope. -/- The PDF is made available gratis by the Publisher.
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  46. Factoring Out the Impossibility of Logical Aggregation.Philippe Mongin - 2008 - Journal of Economic Theory 141:p. 100-113.
    According to a theorem recently proved in the theory of logical aggregation, any nonconstant social judgment function that satisfies independence of irrelevant alternatives (IIA) is dictatorial. We show that the strong and not very plausible IIA condition can be replaced with a minimal independence assumption plus a Pareto-like condition. This new version of the impossibility theorem likens it to Arrow’s and arguably enhances its paradoxical value.
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  47. Conditionals and Curry.Daniel Nolan - 2016 - Philosophical Studies 173 (10):2629-2647.
    Curry's paradox for "if.. then.." concerns the paradoxical features of sentences of the form "If this very sentence is true, then 2+2=5". Standard inference principles lead us to the conclusion that such conditionals have true consequents: so, for example, 2+2=5 after all. There has been a lot of technical work done on formal options for blocking Curry paradoxes while only compromising a little on the various central principles of logic and meaning that are under threat. -/- Once we (...)
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  48. Indicative Conditionals, Restricted Quantification, and Naive Truth.Hartry Field - 2016 - Review of Symbolic Logic 9 (1):181-208.
    This paper extends Kripke’s theory of truth to a language with a variably strict conditional operator, of the kind that Stalnaker and others have used to represent ordinary indicative conditionals of English. It then shows how to combine this with a different and independently motivated conditional operator, to get a substantial logic of restricted quantification within naive truth theory.
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  49. Probabilistic Semantics for Epistemic Modals: Normality Assumptions, Conditional Epistemic Spaces, and the Strength of `Must' and `Might'.Guillermo Del Pinal - forthcoming - Linguistics and Philosophy:1-42.
    The epistemic modal auxiliaries 'must' and 'might' are vehicles for expressing the force with which a proposition follows from some body of evidence or information. Standard approaches model these operators using quantificational modal logic, but probabilistic approaches are becoming increasingly influential. According to a traditional view, 'must' is a maximally strong epistemic operator and 'might' is a bare possibility one. A competing account---popular amongst proponents of a probabilisitic turn---says that, given a body of evidence, 'must p' entails that Pr(p) (...)
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  50. 'A-Part' of This World: Deleuze and the Logic of Creation.Christopher Satoor - 2014 - Dissertation, York University
    Major Research Paper Abstract -/- A Part of This World: Deleuze & The Logic Of Creation. -/- Is there a particular danger in following Deleuze’s philosophy to its end result? According to Peter Hallward and Alain Badiou, Deleuze’s philosophy has some rather severe conclusions. Deleuze has been known as a vitalist thinker of life and affirmation. Hallward & Badiou seek to challenge the accepted view of Deleuze; showing that these accepted norms in Deleuzian scholarship should be challenged; and that (...)
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