Results for ' strict-tolerant logics'

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  1. A truth-maker semantics for ST: refusing to climb the strict/tolerant hierarchy.Ulf Hlobil - 2022 - Synthese 200 (5):1-23.
    The paper presents a truth-maker semantics for Strict/Tolerant Logic (ST), which is the currently most popular logic among advocates of the non-transitive approach to paradoxes. Besides being interesting in itself, the truth-maker presentation of ST offers a new perspective on the recently discovered hierarchy of meta-inferences that, according to some, generalizes the idea behind ST. While fascinating from a mathematical perspective, there is no agreement on the philosophical significance of this hierarchy. I aim to show that there is (...)
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  2. A Hierarchy of Classical and Paraconsistent Logics.Eduardo Alejandro Barrio, Federico Pailos & Damian Szmuc - 2020 - Journal of Philosophical Logic 49 (1):93-120.
    In this article, we will present a number of technical results concerning Classical Logic, ST and related systems. Our main contribution consists in offering a novel identity criterion for logics in general and, therefore, for Classical Logic. In particular, we will firstly generalize the ST phenomenon, thereby obtaining a recursively defined hierarchy of strict-tolerant systems. Secondly, we will prove that the logics in this hierarchy are progressively more classical, although not entirely classical. We will claim that (...)
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  3. Meta-Classical Non-Classical Logics.Eduardo Barrio, Camillo Fiore & Federico Pailos - forthcoming - Review of Symbolic Logic:1-26.
    Recently, it has been proposed to understand a logic as containing not only a validity canon for inferences but also a validity canon for metainferences of any finite level. Then, it has been shown that it is possible to construct infinite hierarchies of "increasingly classical" logics—that is, logics that are classical at the level of inferences and of increasingly higher metainferences—all of which admit a transparent truth predicate. In this paper, we extend this line of investigation by taking (...)
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  4. On Three-Valued Presentations of Classical Logic.Bruno da Ré, Damian Szmuc, Emmanuel Chemla & Paul Égré - forthcoming - Review of Symbolic Logic:1-23.
    Given a three-valued definition of validity, which choice of three-valued truth tables for the connectives can ensure that the resulting logic coincides exactly with classical logic? We give an answer to this question for the five monotonic consequence relations $st$, $ss$, $tt$, $ss\cap tt$, and $ts$, when the connectives are negation, conjunction, and disjunction. For $ts$ and $ss\cap tt$ the answer is trivial (no scheme works), and for $ss$ and $tt$ it is straightforward (they are the collapsible schemes, in which (...)
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  5. Capturing naive validity in the Cut-free approach.Eduardo Barrio, Lucas Rosenblatt & Diego Tajer - 2016 - Synthese 199 (Suppl 3):707-723.
    Rejecting the Cut rule has been proposed as a strategy to avoid both the usual semantic paradoxes and the so-called v-Curry paradox. In this paper we consider if a Cut-free theory is capable of accurately representing its own notion of validity. We claim that the standard rules governing the validity predicate are too weak for this purpose and we show that although it is possible to strengthen these rules, the most obvious way of doing so brings with it a serious (...)
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  6. A recovery operator for nontransitive approaches.Eduardo Alejandro Barrio, Federico Pailos & Damian Szmuc - 2020 - Review of Symbolic Logic 13 (1):80-104.
    In some recent articles, Cobreros, Egré, Ripley, & van Rooij have defended the idea that abandoning transitivity may lead to a solution to the trouble caused by semantic paradoxes. For that purpose, they develop the Strict-Tolerant approach, which leads them to entertain a nontransitive theory of truth, where the structural rule of Cut is not generally valid. However, that Cut fails in general in the target theory of truth does not mean that there are not certain safe instances (...)
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  7. Dialetheism and distributed sorites.Ben Blumson - 2023 - Synthese 202 (4):1-18.
    Noniterative approaches to the sorites paradox accept single steps of soritical reasoning, but deny that these can be combined into valid chains of soritical reasoning. The distributed sorites is a puzzle designed to undermine noniterative approaches to the sorites paradox, by deriving an inconsistent conclusion using only single steps, but not chains, of soritical reasoning. This paper shows how a dialetheist version of the noniterative approach, the strict-tolerant approach, also solves the distributed sorites paradox, at no further cost, (...)
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  8.  61
    Minimal inconsistency-tolerant logics: a quantitative approach.Christian Strasser & Sanderson Molick - forthcoming - Australasian Journal of Logic.
    In order to reason in a non-trivializing way with contradictions, para- consistent logics reject some classically valid inferences. As a way of re- covering some of these inferences, Graham Priest ([Priest, 1991]) proposed to nonmonotonically strengthen the Logic of Paradox by allowing the se- lection of “less inconsistent” models via a comparison of their respective inconsistent parts. This move recaptures a good portion of classical logic in that it does not block, e.g., disjunctive syllogism, unless it is applied to (...)
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  9. Near Closeness and Conditionals.Daniel Berntson - manuscript
    This paper presents a new system of conditional logic B2, which is strictly intermediate in strength between the existing systems B1 and B3 from John Burgess (1981) and David Lewis (1973a). After presenting and motivating the new system, we will show that it is characterized by a natural class of frames. These frames correspond to the idea that conditionals are about which worlds are nearly closest, rather than which worlds are closest. Along the way, we will also give new characterization (...)
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  10. Carnap’s Principle of Tolerance and logical pluralism.Diogo Dias - 2015 - Argumentos 13:225-236.
    Logical pluralism is the claim that there is more than one adequate logic. Many authors consider Carnap as one of the forerunners of logical pluralism. More than that, they claim that Carnap’s Principle of Tolerance consists in one of the first explicit formulations a logical pluralism. Nonetheless, there is little detailed investigation to evaluate if the Principle of Tolerance necessarily implies a logical pluralism, and if so, of which kind. The aim of this paper is to analyze the Principle of (...)
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  11. Strictness and connexivity.Andrea Iacona - 2021 - Inquiry: An Interdisciplinary Journal of Philosophy 64 (10):1024-1037.
    .This paper discusses Aristotle’s thesis and Boethius’ thesis, the most distinctive theorems of connexive logic. Its aim is to show that, although there is something plausible in Aristotle’s thesis and Boethius’ thesis, the intuitions that may be invoked to motivate them are consistent with any account of indicative conditionals that validates a suitably restricted version of them. In particular, these intuitions are consistent with the view that indicative conditionals are adequately formalized as strict conditionals.
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  12. Establishing Toleration.Richard H. Dees - 1999 - Political Theory 27 (5):667-693.
    Liberals often assume that once people see the costs of intolerance that they will come to embrace toleration and that once they can accept toleration as a modus vivendi, they will soon be able to see it as a good in its own right. But, I argue, that the logic that make in tolerance difficult to break also compel people to resist any attempts to make toleration more than a modus vivendi. True toleration will not be embraced unless the people (...)
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  13. 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 (...)
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  14. Carnap's Tolerance and Friedman's Revenge.Noah Friedman-Biglin - 2015 - In Pavel Arazim & Michal Dancak (eds.), Logica Yearbook 2014. College Publications. pp. 109 -- 125.
    In this paper, I defend Rudolf Carnap's Principle of Tolerance from an accusation, due to Michael Friedman, that it is self-defeating by prejudicing any debate towards the logically stronger theory. In particular, Friedman attempts to show that Carnap's reconstruction of the debate between classicists and intuitionists over the foundations of mathematics in his book The Logical Syntax of Language, is biased towards the classical standpoint since the metalanguage he constructs to adjudicate between the rival positions is fully classical. I argue (...)
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  15. The limits and basis of logical tolerance: Carnap’s combination of Russell and Wittgenstein.Adam Tamas Tuboly - 2016 - In Peter Stone (ed.), Bertrand Russell’s Life and Legacy. Wilmington, Delaware, United States: Vernon Press.
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  16. Indicative Conditionals as Strict Conditionals.Andrea Iacona - 2018 - Argumenta 4 (1):177-192.
    This paper is intended to show that, at least in a considerably wide class of cases, indicative conditionals are adequately formalized as strict conditionals. The first part of the paper outlines three arguments that support the strict conditional view, that is, three reasons for thinking that an indicative conditional is true just in case it is impossible that its antecedent is true and its consequent is false. The second part of the paper develops the strict conditional view (...)
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  17. On the Coherence of Strict Finitism.Auke Alesander Montesano Montessori - 2019 - Kriterion - Journal of Philosophy 33 (2):1-14.
    Strict finitism is the position that only those natural numbers exist that we can represent in practice. Michael Dummett, in a paper called Wang’s Paradox, famously tried to show that strict finitism is an incoherent position. By using the Sorites paradox, he claimed that certain predicates the strict finitist is committed to are incoherent. More recently, Ofra Magidor objected to Dummett’s claims, arguing that Dummett fails to show the incoherence of strict finitism. In this paper, I (...)
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  18. Strict Identity with No Overlap.Achille C. Varzi - 2006 - Studia Logica 82 (3):371-378.
    It is common lore that standard, Kripke-style semantics for quantified modal logic is incompatible with the view that no individual may belong to more than one possible world, a view that seems to require a counterpart-theoretic semantics instead. Strictly speaking, however, this thought is wrong-headed. This note explains why.
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  19. Strict conditionals: A negative result.Jan Heylen & Leon Horsten - 2006 - Philosophical Quarterly 56 (225):536–549.
    Jonathan Lowe has argued that a particular variation on C.I. Lewis' notion of strict implication avoids the paradoxes of strict implication. We show that Lowe's notion of implication does not achieve this aim, and offer a general argument to demonstrate that no other variation on Lewis' notion of constantly strict implication describes the logical behaviour of natural-language conditionals in a satisfactory way.
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  20. 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 transcendental (...)
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  21. The logic of ground.Adam Lovett - 2020 - Journal of Philosophical Logic 49 (1):13-49.
    I explore the logic of ground. I first develop a logic of weak ground. This logic strengthens the logic of weak ground presented by Fine in his ‘Guide to Ground.’ This logic, I argue, generates many plausible principles which Fine’s system leaves out. I then derive from this a logic of strict ground. I argue that there is a strong abductive case for adopting this logic. It’s elegant, parsimonious and explanatorily powerful. Yet, so I suggest, adopting it has important (...)
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  22. Relativism and Tolerance Revisited.Mark Ressler - manuscript
    This paper reviews arguments concerning the relation between relativism and tolerance, both whether tolerance entails relativism, and whether relativism entails tolerance. Two new arguments are offered to support the contention that there is no necessary relation between relativism and tolerance. In particular, building on the classic argument by Geoffrey Harrison, this paper argues that even if there is no strict dichotomy between facts and values, as Harrison had assumed, relativism still does not entail tolerance for every relativized perspective.
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  23. Two Adaptive Logics of Norm-Propositions.Mathieu Beirlaen & Christian Straßer - 2013 - Journal of Applied Logic 11 (2):147-168.
    We present two defeasible logics of norm-propositions (statements about norms) that (i) consistently allow for the possibility of normative gaps and normative conflicts, and (ii) map each premise set to a sufficiently rich consequence set. In order to meet (i), we define the logic LNP, a conflict- and gap-tolerant logic of norm-propositions capable of formalizing both normative conflicts and normative gaps within the object language. Next, we strengthen LNP within the adaptive logic framework for non-monotonic reasoning in order (...)
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  24. The logical and pedagogical paths of phenomenology. Adalberto García de Mendoza's and Francisco Larroyo's forays.Jorge Luis Méndez-martínez - 2024 - HORIZON. Studies in Phenomenology 13 (I):241-262.
    This paper addresses the relationship between logic and phenomenology at a historical moment that precedes the big divide between analytic philosophy and phenomenology. In analysing alternative derivations of phenomenological logic, the discussion focuses on the case of two notorious neo-Kantian Mexican philosophers from the first half of the XXth century: Adalberto García de Mendoza and Francisco Larroyo. It is argued that both García de Mendoza and Larroyo made an original contribution to the discussion on the relationship between phenomenology and logic. (...)
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  25. 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 as long (...)
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  26. Religious Neutrality, Toleration and Recognition in Moderate Secular States: The Case of Denmark.Sune Laegaard - 2011 - Les ateliers de l'éthique/The Ethics Forum 6 (2):85-106.
    This paper provides a theoretical discussion with point of departure in the case of Denmark of some of the theoretical issues concerning the relation liberal states may have to religion in general and religious minorities in particular. Liberal political philosophy has long taken for granted that liberal states have to be religiously neutral. The paper asks what a liberal state is with respect to religion and religious minorities if it is not a strictly religiously neutral state with full separation of (...)
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  27. How Mathematics Isn’t Logic.Roger Wertheimer - 1999 - Ratio 12 (3):279-295.
    View more Abstract If logical truth is necessitated by sheer syntax, mathematics is categorially unlike logic even if all mathematics derives from definitions and logical principles. This contrast gets obscured by the plausibility of the Synonym Substitution Principle implicit in conceptions of analyticity: synonym substitution cannot alter sentence sense. The Principle obviously fails with intercepting: nonuniform term substitution in logical sentences. ‘Televisions are televisions’ and ‘TVs are televisions’ neither sound alike nor are used interchangeably. Interception synonymy gets assumed because logical (...)
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  28. Resurrecting logical probability.James Franklin - 2001 - Erkenntnis 55 (2):277-305.
    The logical interpretation of probability, or "objective Bayesianism'' – the theory that (some) probabilities are strictly logical degrees of partial implication – is defended. The main argument against it is that it requires the assignment of prior probabilities, and that any attempt to determine them by symmetry via a "principle of insufficient reason" inevitably leads to paradox. Three replies are advanced: that priors are imprecise or of little weight, so that disagreement about them does not matter, within limits; that it (...)
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  29. The Relevant Logic E and Some Close Neighbours: A Reinterpretation.Edwin Mares & Shawn Standefer - 2017 - IfCoLog Journal of Logics and Their Applications 4 (3):695--730.
    This paper has two aims. First, it sets out an interpretation of the relevant logic E of relevant entailment based on the theory of situated inference. Second, it uses this interpretation, together with Anderson and Belnap’s natural deduc- tion system for E, to generalise E to a range of other systems of strict relevant implication. Routley–Meyer ternary relation semantics for these systems are produced and completeness theorems are proven. -/- .
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  30. From Logical Calculus to Logical Formality—What Kant Did with Euler’s Circles.Huaping Lu-Adler - 2017 - In Corey W. Dyck & Falk Wunderlich (eds.), Kant and His German Contemporaries : Volume 1, Logic, Mind, Epistemology, Science and Ethics. New York, NY, USA: Cambridge University Press. pp. 35-55.
    John Venn has the “uneasy suspicion” that the stagnation in mathematical logic between J. H. Lambert and George Boole was due to Kant’s “disastrous effect on logical method,” namely the “strictest preservation [of logic] from mathematical encroachment.” Kant’s actual position is more nuanced, however. In this chapter, I tease out the nuances by examining his use of Leonhard Euler’s circles and comparing it with Euler’s own use. I do so in light of the developments in logical calculus from G. W. (...)
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  31. The logic of distributive bilattices.Félix Bou & Umberto Rivieccio - 2011 - Logic Journal of the IGPL 19 (1):183-216.
    Bilattices, introduced by Ginsberg as a uniform framework for inference in artificial intelligence, are algebraic structures that proved useful in many fields. In recent years, Arieli and Avron developed a logical system based on a class of bilattice-based matrices, called logical bilattices, and provided a Gentzen-style calculus for it. This logic is essentially an expansion of the well-known Belnap–Dunn four-valued logic to the standard language of bilattices. Our aim is to study Arieli and Avron’s logic from the perspective of abstract (...)
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  32. The logical and pragmatic structure of arguments from analogy.Fabrizio Macagno - 2017 - Logique Et Analyse 240:465-490.
    The reasoning process of analogy is characterized by a strict interdependence between a process of abstraction of a common feature and the transfer of an attribute of the Analogue to the Primary Subject. The first reasoning step is regarded as an abstraction of a generic characteristic that is relevant for the attribution of the predicate. The abstracted feature can be considered from a logic-semantic perspective as a functional genus, in the sense that it is contextually essential for the attribution (...)
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  33. Pernicious logical metaphors.Edwin Coleman - 2010 - Logique Et Analyse 53 (210):185.
    My real position is that logic is a mere sub-branch of rhetoric, but in this paper I only try to show an area of overlap. Certain usages in logical work are metaphorical, and I argue that this has pernicious effects in a discipline assumed strictly literal. Among these pernicious effects are the bizarre and fruitless focus of philosophy of mathematics on the pseudo-problems of foundations and objects. I mostly examine the locution 'logical construction' and a range of associated metaphors. Some (...)
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  34. Logical Form, the First Person, and Naturalism about Psychology: The Case Against Physicalist Imperialism.Frederique Janssen-Lauret - 2017 - In Uskali Mäki, Adrian Walsh & Manuela Fernández Pinto (eds.), Scientific Imperialism: Exploring the Boundaries of Interdisciplinarity. Routledge. pp. 237-253.
    Physicalistic theories of psychology are a classic case of scientific imperialism: the explanatory capacity of physics, both with respect to its methods and to its domain, is taken to extend beyond the traditional realm of physics, and into that of psychology. I argue in this paper that this particular imperialistic venture has failed. Contemporary psychology uses methods not modelled on those of physics, embracing first-personal methodology where physics is strictly impersonal. I make the case that whether or not scientific imperialism (...)
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  35. Formal thought disorder and logical form: A symbolic computational model of terminological knowledge.Luis M. Augusto & Farshad Badie - 2022 - Journal of Knowledge Structures and Systems 3 (4):1-37.
    Although formal thought disorder (FTD) has been for long a clinical label in the assessment of some psychiatric disorders, in particular of schizophrenia, it remains a source of controversy, mostly because it is hard to say what exactly the “formal” in FTD refers to. We see anomalous processing of terminological knowledge, a core construct of human knowledge in general, behind FTD symptoms and we approach this anomaly from a strictly formal perspective. More specifically, we present here a symbolic computational model (...)
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  36. Impossible Worlds and the Logic of Imagination.Francesco Berto - 2017 - Erkenntnis 82 (6):1277-1297.
    I want to model a finite, fallible cognitive agent who imagines that p in the sense of mentally representing a scenario—a configuration of objects and properties—correctly described by p. I propose to capture imagination, so understood, via variably strict world quantifiers, in a modal framework including both possible and so-called impossible worlds. The latter secure lack of classical logical closure for the relevant mental states, while the variability of strictness captures how the agent imports information from actuality in the (...)
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  37. Religiozno verovanje i modaliteti tolerancije u liberalnom drustvu (Religious faith and the modalities of tolerance in a liberal society).Aleksandar Fatic - 2013 - Theoria: Beograd 56 (1):59-78..
    The paper discusses three aspects of belonging to religious systems of belief within a modern liberal society, namely (1) the sincerity and consistency of belief, (2) the possibility of exteriorization of belief through broader social interactions or transactions, and (3) the relationship between religious belief and the modern concept of affirmative tolerance, or affirmation of differences, which has become a pronounced public policy in multicultural liberal societies. The author argues that, while negative tolerance allows sincere religious belief to flourish in (...)
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  38. Second-Order Arguments, or Do We Still Need Tolerance in the Public Sphere?Aleksei Loginov - 2019 - Changing Societies and Personalities 3 (4):319-332.
    A number of widely discussed court decisions on cases of insults against religious feelings in Russia, such as the relatively recent “Pokemon Go” case of blogger Ruslan Sokolovsky or the lawsuit filed against an Orthodox priest by Nikolai Ryabchevsky in Yekaterinburg for comparing Lenin with Hitler, make pertinent the question of why toleration becomes so difficult in matters concerning religion. In this paper, I revise the classical liberal concept of toleration (David Heyd, Peter Nicholson, and John Horton), arguing that it (...)
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  39. The logic of metabolism and its fuzzy consequences.A. Danchin - 2014 - Environmental Microbiology 16 (1):19-28.
    Intermediary metabolism molecules are orchestrated into logical pathways stemming from history (L-amino acids, D-sugars) and dynamic constraints (hydrolysis of pyrophosphate or amide groups is the driving force of anabolism). Beside essential metabolites, numerous variants derive from programmed or accidental changes. Broken down, variants enter standard pathways, producing further variants. Macromolecule modification alters enzyme reactions specificity. Metabolism conform thermodynamic laws, precluding strict accuracy. Hence, for each regular pathway, a wealth of variants inputs and produces metabolites that are similar to but (...)
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  40. Refining Labelled Systems for Modal and Constructive Logics with Applications.Tim Lyon - 2021 - Dissertation, Technischen Universität Wien
    This thesis introduces the "method of structural refinement", which serves as a means of transforming the relational semantics of a modal and/or constructive logic into an 'economical' proof system by connecting two proof-theoretic paradigms: labelled and nested sequent calculi. The formalism of labelled sequents has been successful in that cut-free calculi in possession of desirable proof-theoretic properties can be automatically generated for large classes of logics. Despite these qualities, labelled systems make use of a complicated syntax that explicitly incorporates (...)
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  41.  51
    Counterfactuals 2.0: Logic, Truth Conditions, and Probability.Giuliano Rosella - 2023 - Dissertation, University of Turin
    The present thesis focuses on counterfactuals. Specifically, we will address new questions and open problems that arise for the standard semantic accounts of counterfactual conditionals. The first four chapters deal with the Lewisian semantic account of counterfactuals. On a technical level, we contribute by providing an equivalent algebraic semantics for Lewis' variably strict conditional logics, which is notably absent in the literature. We introduce a new kind of algebra and differentiate between local and global versions of each of (...)
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  42. Le libéralisme politique et le pluralisme des conceptions du juste. Jusqu'où peut aller la tolérance politique ?Frédéric Côté-Boudreau - 2013 - Les ateliers de l'éthique/The Ethics Forum 8 (2):4-27.
    Cet article explore les conséquences pour le libéralisme politique de considérer l’existence d’un pluralisme raisonnable au sujet des différentes conceptions du juste. Comment une conception publique de la justice peut se développer malgré un désaccord raisonnable et profond sur les termes mêmes de cette justice ? En comparant le libertarisme, la justice comme équité et l’égalitarisme strict, il sera montré que les concepts fondamentaux de ces conceptions du juste sont essentiellement contestés. En guise de solution, deux conditions seront suggérées (...)
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  43. The Logic of the Whole Truth.Joseph S. Fulda - 1989 - Rutgers Computer and Technology Law Journal 15 (2):435-446.
    Note: The author holds the copyright, and there was no agreement, express or implied, not to use a facsimile PDF. -/- Using erotetic logic, the paper defines the "the whole truth" in a manner consistent with U.S. Supreme Court precedent. It cannot mean "the whole story," as witnesses in an adversary system are permitted /only/ to answer the questions put to them, nor are they permitted to speculate, add irrelevant material, etc. Nor can it mean not to add an admixture (...)
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  44. Not much higher-order vagueness in Williamson’s ’logic of clarity’.Nasim Mahoozi & Thomas Mormann - manuscript
    This paper deals with higher-order vagueness in Williamson's 'logic of clarity'. Its aim is to prove that for 'fixed margin models' (W,d,α ,[ ]) the notion of higher-order vagueness collapses to second-order vagueness. First, it is shown that fixed margin models can be reformulated in terms of similarity structures (W,~). The relation ~ is assumed to be reflexive and symmetric, but not necessarily transitive. Then, it is shown that the structures (W,~) come along with naturally defined maps h and s (...)
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  45. The Systems of Relevance Logic.Ryszard Mirek - 2011 - Argument: Biannual Philosophical Journal 1 (1):87-102.
    The system R, or more precisely the pure implicational fragment R›, is considered by the relevance logicians as the most important. The another central system of relevance logic has been the logic E of entailment that was supposed to capture strict relevant implication. The next system of relevance logic is RM or R-mingle. The question is whether adding mingle axiom to R› yields the pure implicational fragment RM› of the system? As concerns the weak systems there are at least (...)
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  46. Misleading higher-order evidence, conflicting ideals, and defeasible logic.Aleks Https://Orcidorg Knoks - 2020 - Ergo: An Open Access Journal of Philosophy 8:141--74.
    Thinking about misleading higher-order evidence naturally leads to a puzzle about epistemic rationality: If one’s total evidence can be radically misleading regarding itself, then two widely-accepted requirements of rationality come into conflict, suggesting that there are rational dilemmas. This paper focuses on an often misunderstood and underexplored response to this (and similar) puzzles, the so-called conflicting-ideals view. Drawing on work from defeasible logic, I propose understanding this view as a move away from the default metaepistemological position according to which rationality (...)
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  47. Kant on Proving Aristotle’s Logic as Complete.Huaping Lu-Adler - 2016 - Kantian Review 21 (1):1-26.
    Kant claims that Aristotles logic as complete, explain the historical and philosophical considerations that commit him to proving the completeness claim and sketch the proof based on materials from his logic corpus. The proof will turn out to be an integral part of Kant’s larger reform of formal logic in response to a foundational crisis facing it.
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  48. The Logic of Interactive Dualism.Lorenzo Sleakes - manuscript
    The assumption that known physical laws are sufficient for explaining mental phenomena is flawed from the outset. Qualities such as phenomenal redness do not exist within the known physical laws so by definition they are incomplete. Now assuming a new law was added that could explain how some physical property or vibration causes or is associated with phenomenal redness it would not be enough because it still wouldn’t explain how different qualities are bound together into a subjective unity. Assuming more (...)
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  49. The enduring scandal of deduction: is propositional logic really uninformative?Marcello D'Agostino & Luciano Floridi - 2009 - Synthese 167 (2):271-315.
    Deductive inference is usually regarded as being “tautological” or “analytical”: the information conveyed by the conclusion is contained in the information conveyed by the premises. This idea, however, clashes with the undecidability of first-order logic and with the (likely) intractability of Boolean logic. In this article, we address the problem both from the semantic and the proof-theoretical point of view. We propose a hierarchy of propositional logics that are all tractable (i.e. decidable in polynomial time), although by means of (...)
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  50. Some Strong Conditionals for Sentential Logics.Jason Zarri - manuscript
    In this article I define a strong conditional for classical sentential logic, and then extend it to three non-classical sentential logics. It is stronger than the material conditional and is not subject to the standard paradoxes of material implication, nor is it subject to some of the standard paradoxes of C. I. Lewis’s strict implication. My conditional has some counterintuitive consequences of its own, but I think its pros outweigh its cons. In any case, one can always augment (...)
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