Results for 'Logicality'

54 found
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  1.  83
    Set-Theoretical Invariance Criteria for Logicality.Solomon Feferman - 2010 - Notre Dame Journal of Formal Logic 51 (1):3-20.
    This is a survey of work on set-theoretical invariance criteria for logicality. It begins with a review of the Tarski-Sher thesis in terms, first, of permutation invariance over a given domain and then of isomorphism invariance across domains, both characterized by McGee in terms of definability in the language L∞,∞. It continues with a review of critiques of the Tarski-Sher thesis, and a proposal in response to one of those critiques via homomorphism invariance. That has quite divergent characterization results (...)
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  2. Logicality and Invariance.Denis Bonnay - 2006 - 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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  3.  42
    The Logicality of Language: A New Take on Triviality, “Ungrammaticality”, and Logical Form.Guillermo Del Pinal - 2017 - Noûs.
  4.  14
    Logicality, Double-Line Rules, and Modalities.Norbert Gratzl & Eugenio Orlandelli - 2019 - Studia Logica 107 (1):85-107.
    This paper deals with the question of the logicality of modal logics from a proof-theoretic perspective. It is argued that if Dos̆en’s analysis of logical constants as punctuation marks is embraced, it is possible to show that all the modalities in the cube of normal modal logics are indeed logical constants. It will be proved that the display calculus for each displayable modality admits a purely structural presentation based on double-line rules which, following Dos̆en’s analysis, allows us to claim (...)
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  5.  53
    Logicality and Meaning.Gil Sagi - 2018 - Review of Symbolic Logic 11 (1):133-159.
    In standard model-theoretic semantics, the meaning of logical terms is said to be fixed in the system while that of nonlogical terms remains variable. Much effort has been devoted to characterizing logical terms, those terms that should be fixed, but little has been said on their role in logical systems: on what fixing their meaning precisely amounts to. My proposal is that when a term is considered logical in model theory, what gets fixed is its intension rather than its extension. (...)
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  6.  26
    Extensionality and Logicality.Gil Sagi - 2017 - Synthese:1-25.
    Tarski characterized logical notions as invariant under permutations of the domain. The outcome, according to Tarski, is that our logic, which is commonly said to be a logic of extension rather than intension, is not even a logic of extension—it is a logic of cardinality. In this paper, I make this idea precise. We look at a scale inspired by Ruth Barcan Marcus of various levels of meaning: extensions, intensions and hyperintensions. On this scale, the lower the level of meaning, (...)
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  7.  68
    The Undergeneration of Permutation Invariance as a Criterion for Logicality.Catarina Dutilh Novaes - 2014 - Erkenntnis 79 (1):81-97.
    Permutation invariance is often presented as the correct criterion for logicality. The basic idea is that one can demarcate the realm of logic by isolating specific entities—logical notions or constants—and that permutation invariance would provide a philosophically motivated and technically sophisticated criterion for what counts as a logical notion. The thesis of permutation invariance as a criterion for logicality has received considerable attention in the literature in recent decades, and much of the debate is developed against the background (...)
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  8.  16
    Expressivist Perspective on Logicality.Pavel Arazim - 2017 - Logica Universalis 11 (4):409-419.
    Various attempts at demarcating logic were undertaken, many of them based on specific understanding of how logical knowledge is formal and not material. MacFarlane has persuasively shown that general idea of formality of logic can be understood in various ways. I take two of the accounts of formality, namely the requirement of conservativity and the requirement of schematicity of logical vocabulary, into consideration as promising candidates to make the all too unclear notion of formality more precise and study to what (...)
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  9.  12
    Generalized Quantifiers, Exception Phrases, and Logicality.S. Lappin - 1996 - Journal of Semantics 13 (3):197-220.
    On the Fregean view of NPs, quantified NPs are represented as operator-variable structures, while proper names are constants appearing in argument position. The Generalized Quantifier (GQ) approach characterizes quantified NPs as elements of a unified syntactic category and semantic type. According to the Logicality Thesis (May 1991), the distinction between quantified NPs, which undergo and operation of quantifier raising to yield operator-variable structures at Logical Form (LF), and non-quantified NPS, which appear in situ at LF, corresponds to a difference (...)
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  10.  16
    Incidental Emotions Have a Greater Impact on the Logicality of Less Proficient Reasoners.Isabelle Blanchette & François Nougarou - 2017 - Thinking and Reasoning 23 (1):98-113.
    Previous research shows differences in reasoning about emotional and neutral stimuli. A common explanation hypothesised for this effect is that emotion incurs an additional cognitive load. If this is the case, incidental emotion should have a greater impact on the reasoning of less proficient reasoners, and when items are more difficult, because a greater proportion of available cognitive resources must be allocated to the task. We manipulated the emotional value of reasoning stimuli using conditioning and with the simultaneous presentation of (...)
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  11.  6
    Generalized Quantifiers, Exception Phrases, and Logicality.Shalom Lappin - 1995 - Logic Journal of the IGPL 3 (2-3):203-222.
    On the Fregean view of NP's, quantified NP's are represented as operator-variable structures while proper names are constants appearing in argument position. The Generalized Quantifier approach characterizes quantified NP's and names as elements of a unified syntactic category and semantic type. According to the Logicality Thesis, the distinction between quantified NP's, which undergo an operation of quantifier raising to yield operator-variable structures at Logical Form and non-quantified NP's, which appear in situ at LF, corresponds to a difference in (...) status. The former are logical expressions while the latter are not. Using van Benthem's [2, 3] criterion for logicality, I extend the concept of logicality to GQ's. I argue that NP's modified by exception phrases constitute a class of quantified NP's which are heterogeneous with respect to logicality. However, all exception phrase NP's exhibit the syntactic and semantic properties which motivate May to treat quantified NP's as operators at LF. I present a semantic analysis of exception phrases as modifiers of GQ's, and I indicate how this account captures the central semantic properties of exception phrase NP's. I explore the consequences of the logically heterogeneous character of exception phrase NP's for proof theoretic accounts of quantifiers in natural language. The proposed analysis of exception phrase NP's provides support for the GQ approach to the syntax and semantics of NP's. (shrink)
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  12. Logicality: From A Local Point Vİew.Brian Hill - unknown - Yeditepe'de Felsefe (Philosophy at Yeditepe) 7.
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  13.  36
    Carnap's Criterion of Logicality.Denis Bonnay - 2009 - In Pierre Wagner (ed.), Carnap's Logical Syntax of Language. Palgrave-Macmillan.
    Providing a principled characterization of the distinction between logical and non-logical expressions is a longstanding issue in the philosophy of logic. In the Logical Syntax of Language, Carnap proposes a syntactic solution to this problem, which aims at grounding the claim that logic and mathematics are analytic. Roughly speaking, his idea is that logic and mathematics correspond to the largest part of science for which it is possible to completely specify by "syntactic" means which sentences are valid and which are (...)
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  14.  39
    DEFLATIONARY TRUTH: CONSERVATIVITY OR LOGICALITY?Henri Galinon - 2015 - Philosophical Quarterly 65 (259):268-274.
    It has been argued in the literature that the deflationists’ thesis about the dispensability of truth as an explanatory notion forces them to adopt a conservative theory of truth. I suggest that the deflationists’ claim that the notion of truth is akin to a logical notion should be taken more seriously. This claim casts some doubts on the adequacy of the conservativity requirement, while it also calls for further investigation to assess its philosophical plausibility.
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  15.  3
    Logicality and Regulatory Ethics:Lessons From the Bucharest Early Intervention Project.Joseph J. Fins - 2014 - Hastings Center Report 44 (4):13-17.
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  16. Generalized Quantifiers, Exception Phrases, and Logicality.Lappin Shalom - 1996 - Journal of Semantics 13 (3).
  17. Metalogic and the Overgeneration Argument.Salvatore Florio & Luca Incurvati - 2019 - Mind 128 (511):761-793.
    A prominent objection against the logicality of second-order logic is the so-called Overgeneration Argument. However, it is far from clear how this argument is to be understood. In the first part of the article, we examine the argument and locate its main source, namely, the alleged entanglement of second-order logic and mathematics. We then identify various reasons why the entanglement may be thought to be problematic. In the second part of the article, we take a metatheoretic perspective on the (...)
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  18.  16
    The Bounds of Logic: A Generalized Viewpoint.Gila Sher - 1991 - MIT Press.
    The Bounds of Logic presents a new philosophical theory of the scope and nature of logic based on critical analysis of the principles underlying modern Tarskian logic and inspired by mathematical and linguistic development. Extracting central philosophical ideas from Tarski’s early work in semantics, Sher questions whether these are fully realized by the standard first-order system. The answer lays the foundation for a new, broader conception of logic. By generally characterizing logical terms, Sher establishes a fundamental result in semantics. Her (...)
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  19. Is Logic in the Mind or in the World?Gila Sher - 2011 - Synthese 181 (2):353 - 365.
    The paper presents an outline of a unified answer to five questions concerning logic: (1) Is logic in the mind or in the world? (2) Does logic need a foundation? What is the main obstacle to a foundation for logic? Can it be overcome? (3) How does logic work? What does logical form represent? Are logical constants referential? (4) Is there a criterion of logicality? (5) What is the relation between logic and mathematics?
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  20.  85
    Relative Categoricity and Abstraction Principles.Sean Walsh & Sean Ebels-Duggan - 2015 - Review of Symbolic Logic 8 (3):572-606.
    Many recent writers in the philosophy of mathematics have put great weight on the relative categoricity of the traditional axiomatizations of our foundational theories of arithmetic and set theory. Another great enterprise in contemporary philosophy of mathematics has been Wright's and Hale's project of founding mathematics on abstraction principles. In earlier work, it was noted that one traditional abstraction principle, namely Hume's Principle, had a certain relative categoricity property, which here we term natural relative categoricity. In this paper, we show (...)
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  21. Logical Indefinites.Jack Woods - 2014 - Logique Et Analyse -- Special Issue Edited by Julien Murzi and Massimiliano Carrara 227: 277-307.
    I argue that we can and should extend Tarski's model-theoretic criterion of logicality to cover indefinite expressions like Hilbert's ɛ operator, Russell's indefinite description operator η, and abstraction operators like 'the number of'. I draw on this extension to discuss the logical status of both abstraction operators and abstraction principles.
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  22.  60
    Carnap and the Invariance of Logical Truth.Steve Awodey - 2017 - Synthese 194 (1):67-78.
    The failed criterion of logical truth proposed by Carnap in the Logical Syntax of Language was based on the determinateness of all logical and mathematical statements. It is related to a conception which is independent of the specifics of the system of the Syntax, hints of which occur elsewhere in Carnap’s writings, and those of others. What is essential is the idea that the logical terms are invariant under reinterpretation of the empirical terms, and are therefore semantically determinate. A certain (...)
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  23.  25
    Characterizing Invariance.Jack Woods - 2016 - Ergo: An Open Access Journal of Philosophy 3 (30):778-807.
    I argue that in order to apply the most common type of criteria for logicality, invariance criteria, to natural language, we need to consider both invariance of content—modeled by functions from contexts into extensions—and invariance of character—modeled, à la Kaplan, by functions from contexts of use into contents. Logical expressionsshould be invariant in both senses. If we do not require this, then old objections due to Timothy McCarthy and William Hanson, suitably modified, demonstrate that content invariant expressions can display (...)
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  24.  12
    Logical Quantifiers.Gila Sher - 2012 - In D. Graff Fara & G. Russell (eds.), Routledge Companion to Philosophy of Language. Routledge. pp. 579-595.
    This chapter offers a logical, linguistic, and philosophical account of modern quantification theory. Contrasting the standard approach to quantifiers (according to which logical quantifiers are defined by enumeration) with the generalized approach (according to which quantifiers are defined systematically), the chapter begins with a brief history of standard quantifier theory and identifies some of its logical, linguistic, and philosophical strengths and weaknesses. It then proceeds to a brief history of generalized quantifier theory and explains how it overcomes the weaknesses of (...)
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  25. What is Global Supervenience?Stephan Leuenberger - 2009 - Synthese 170 (1):115 - 129.
    The relation of global supervenience is widely appealed to in philosophy. In slogan form, it is explained as follows: a class of properties A supervenes on a class of properties B if no two worlds differ in the distribution of A-properties without differing in the distribution of B-properties. It turns out, though, that there are several ways to cash out that slogan. Three different proposals have been discussed in the literature. In this paper, I argue that none of them is (...)
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  26.  53
    Stenius on Logical Constants.Markku Keinänen & Gabriel Sandu - 1996 - In Logica Yearbook '96. Praha: pp. 93-106.
    The article presents Erik Stenius' conception of logical constants and compares it with the standard approach.
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  27.  7
    One Dogma of Analyticism.Christian J. Feldbacher-Escamilla - 2017 - Logique Et Analyse 240:429-444.
    According to one view on analyticity in formal languages, a definition of 'analytic' can be given by semantic notions alone. In this contribution we are going to show that a purely semantic conception of analyticity is inadequate. To do so, we provide a method for transforming theories with a synthetic empirical basis into logical equivalent theories with an analytic ``empirical'' basis. We draw the conclusion that a definition of analyticity is adequate only if it is a pragmatic one.
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  28.  82
    Complexes and Their Constituents.Roderick Batchelor - 2013 - Theoria 79 (4):326-352.
    We sketch a general theory of complex objects and their constituents.
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  29.  41
    Criterios parciales de logicidad.Janusz Maciaszek - 2005 - Anales Del Seminario de Historia de la Filosofía 22:139-156.
    The aim of this paper is show a global strategy for defining and connecting logical criteria. Three partial criteria are distinguished: transparency for expressions, topic neutrality for consequence relation, and universality for theories. A global criterion is suggested, and proved to be fulfilled by classical and intuionistic logic.
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  30.  84
    Questions and Challenges for the New Psychology of Reasoning.Jonathan St B. T. Evans - 2012 - Thinking and Reasoning 18 (1):5 - 31.
    In common with a number of other authors I believe that there has been a paradigm shift in the psychology of reasoning, specifically the area traditionally labelled as the study of deduction. The deduction paradigm was founded in a philosophical tradition that assumed logicality as the basis for rational thought, and provided binary propositional logic as the agreed normative framework. By contrast, many contemporary authors assume that people have degrees of uncertainty in both premises and conclusions, and reject binary (...)
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  31. How Expressivists Can and Should Explain Inconsistency.Derek Clayton Baker & Jack Woods - 2015 - Ethics 125 (2):391-424.
    Mark Schroeder has argued that all reasonable forms of inconsistency of attitude consist of having the same attitude type towards a pair of inconsistent contents (A-type inconsistency). We suggest that he is mistaken in this, offering a number of intuitive examples of pairs of distinct attitudes types with consistent contents which are intuitively inconsistent (B-type inconsistency). We further argue that, despite the virtues of Schroeder's elegant A-type expressivist semantics, B-type inconsistency is in many ways the more natural choice in developing (...)
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  32.  13
    Abstract Logical Constants.Tin Perkov - 2018 - Logica Universalis 12 (3-4):341-350.
    A possibility of defining logical constants within abstract logical frameworks is discussed, in relation to abstract definition of logical consequence. We propose using duals as a general method of applying the idea of invariance under replacement as a criterion for logicality.
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  33. Frege's Conception of Logic: From Kant to Grundgesetze.Øystein Linnebo - 2003 - Manuscrito 26 (2):235-252.
    I shall make two main claims. My first main claim is that Frege started out with a view of logic that is closer to Kant’s than is generally recognized, but that he gradually came to reject this Kantian view, or at least totally to transform it. My second main claim concerns Frege’s reasons for distancing himself from the Kantian conception of logic. It is natural to speculate that this change in Frege’s view of logic may have been spurred by a (...)
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  34. Quantification and Logical Form.Andrea Iacona - 2015 - In Alessandro Torza (ed.), Quantifiers, Quantifiers, and Quantifiers. Springer. pp. 125-140.
    This paper deals with the logical form of quantified sentences. Its purpose is to elucidate one plausible sense in which quantified sentences can adequately be represented in the language of first-order logic. Section 1 introduces some basic notions drawn from general quantification theory. Section 2 outlines a crucial assumption, namely, that logical form is a matter of truth-conditions. Section 3 shows how the truth-conditions of quantified sentences can be represented in the language of first-order logic consistently with some established undefinability (...)
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  35.  20
    Invariance and Definability, with and Without Equality.Denis Bonnay & Fredrik Engström - 2018 - Notre Dame Journal of Formal Logic 59 (1):109-133.
    The dual character of invariance under transformations and definability by some operations has been used in classical works by, for example, Galois and Klein. Following Tarski, philosophers of logic have claimed that logical notions themselves could be characterized in terms of invariance. In this article, we generalize a correspondence due to Krasner between invariance under groups of permutations and definability in L∞∞ so as to cover the cases that are of interest in the logicality debates, getting McGee’s theorem about (...)
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  36.  38
    Logical Operations and Invariance.Enrique Casanovas - 2006 - 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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  37.  17
    Popper's Notion of Duality and His Theory of Negations.David Binder & Thomas Piecha - 2017 - History and Philosophy of Logic 38 (2):154-189.
    Karl Popper developed a theory of deductive logic in the late 1940s. In his approach, logic is a metalinguistic theory of deducibility relations that are based on certain purely structural rules. Logical constants are then characterized in terms of deducibility relations. Characterizations of this kind are also called inferential definitions by Popper. In this paper, we expound his theory and elaborate some of his ideas and results that in some cases were only sketched by him. Our focus is on Popper's (...)
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  38.  66
    Logical Constants, or How to Use Invariance in Order to Complete the Explication of Logical Consequence.Denis Bonnay - 2014 - 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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  39. Topic-Neutrality.R. Batchelor - 2011 - Mind 120 (477):1-9.
    The paper suggests a definition of the idea of topic-neutrality, and indicates some of the consequences of identifying logicality with topic-neutrality so defined.
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  40.  2
    Logical Operations and Invariance.Enrique Casanovas - 2006 - 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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  41.  40
    Popper's Theory of Deductive Inference and the Concept of a Logical Constant.Peter Schroeder-Heister - 1984 - History and Philosophy of Logic 5 (1):79-110.
    This paper deals with Popper's little-known work on deductive logic, published between 1947 and 1949. According to his theory of deductive inference, the meaning of logical signs is determined by certain rules derived from ?inferential definitions? of those signs. Although strong arguments have been presented against Popper's claims (e.g. by Curry, Kleene, Lejewski and McKinsey), his theory can be reconstructed when it is viewed primarily as an attempt to demarcate logical from non-logical constants rather than as a semantic foundation for (...)
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  42.  34
    The Formal-Structural View of Logical Consequence: A Reply to Gila Sher.William H. Hanson - 2002 - Philosophical Review 111 (2):243-258.
    In a recent discussion article in this journal, Gila Sher responds to some of my criticisms of her work on what she calls the formal-structural account of logical consequence. In the present paper I reply and attempt to advance the discussion in a constructive way. Unfortunately, Sher seems to have not fully understood my 1997. Several of the defenses she mounts in her 2001 are aimed at views I do not hold and did not advance in my 1997. Most prominent (...)
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  43.  19
    The Formal-Structural View of Logical Consequence: A Reply to Gila Sher.William H. Hanson - 2002 - Philosophical Review 111 (2):243-258.
    In a recent discussion article in this journal, Gila Sher responds to some of my criticisms of her work on what she calls the formal-structural account of logical consequence. In the present paper I reply and attempt to advance the discussion in a constructive way. Unfortunately, Sher seems to have not fully understood my 1997. Several of the defenses she mounts in her 2001 are aimed at views I do not hold and did not advance in my 1997. Most prominent (...)
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  44.  80
    Some General Results About Proof Normalization.Marc Aiguier & Delphine Longuet - 2010 - Logica Universalis 4 (1):1-29.
    In this paper, we provide a general setting under which results of normalization of proof trees such as, for instance, the logicality result in equational reasoning and the cut-elimination property in sequent or natural deduction calculi, can be unified and generalized. This is achieved by giving simple conditions which are sufficient to ensure that such normalization results hold, and which can be automatically checked since they are syntactical. These conditions are based on basic properties of elementary combinations of inference (...)
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  45.  25
    Did Shilhak School in Chosun Dynasty Make a settlement of Sung-li Debate?Dong-hee Lee - 2008 - Proceedings of the Xxii World Congress of Philosophy 9:279-290.
    This article has the purpose of examining the commentation that Sung-ho Yi Ik and Da-san Jung Yak-yong developed of Sa-chil Debate (사칠논쟁) Which was a philosophical debate in Chosun Dynasty. Sa-chil Debate began from Toe-gye Yi Whang and Ko-bong Gi Dae-sung and soon as a result of Yul-gok Yi Yi and Woo-gae Sung Hon repeating the debate, It appeared as a kind of philosophical theme. After that, Yul-gok and Toe-gye's students formed a kind of school. They also made the debate (...)
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  46.  17
    How “Rational” is “Rationality”?Daniël F. M. Strauss - 2003 - South African Journal of Philosophy 22 (3):247-266.
    By taking serious a remark once made by Paul Bernays, namely that an account of the nature of rationality should begin with concept-formation, this article sets out to uncover both the restrictive and the expansive boundaries of rationality. In order to do this some implications of the perennial philosophical problem of the “coherence of irreducibles” will be related to the acknowledgement of primitive terms and of their indefinability. Some critical remarks will be articulated in connection with an over-estimation of rationality (...)
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  47.  19
    ¿Qué Hace Sólido Un Razonamiento?Charles S. Peirce - 2008 - Utopía y Praxis Latinoamericana 13 (40):111-125.
    In this lecture, delivered on 23 November 1903 at the Lowell Institute in Boston, Peirce refu - tes “a ma lady” that has bro ken out in science: the idea then in vogue that rationality rests on a fee - ling of logicality, and that it is futile to try to find an objective distinction between goo..
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  48.  18
    黑格尔《逻辑学〈本质论〉》 中范畴过渡之谜.Jisheng Bi - 2008 - Proceedings of the Xxii World Congress of Philosophy 30:85-92.
    Hegel oneself indicate “essential theory " Thereunto category transition, large orientation yes as best as one can in accord with cognize course process of, to this aspect ought earnest comprehend, but history with logicality improbable Absolute coherent, More Plus For the sake of fabricate institutions of demand, additionally have to pray in aid of imaginary, To this aspect ought to appropriate comment critically, though never be able to use dot supplant bodily general denial.
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  49.  17
    Modernism in Science and Philosophy.Wilbur M. Urban - 1930 - Philosophy 5 (18):230-.
    There can be little doubt, I think, that the quality and texture of recent scientific and philosophical thought mark a greater break with the past than any innovations such as were introduced by a Gallileo or a Newton, a Descartes or a Kant. The switch over from the logicality and essential rationality of these men to the irrationalisms, the anti-intellectualisms, and the new logics of the moderns, is not at all on the same footing as that deepening of our (...)
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  50.  7
    Response to Frederick Ferré’s Presidential Address.Donald W. Sherburne - 2005 - Review of Metaphysics 58 (3):533 - 536.
    It was a genuine pleasure to read Frederick Ferré’s presidential address. He has done an elegant job of humanizing Whitehead’s account of the nature of speculative philosophy. Not only has he provided a most useful expansion of Whitehead’s rather austerely presented criteria for judging the success of a metaphysical system—coherence, logicality, applicability, and adequacy—he has wrapped the whole in his version of the axiological viewpoint in such a way that we see how norms and value judgments anchor metaphysics in (...)
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