Search results for 'Belnap R' (try it on Scholar)

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  1.  1
    Nuel D. Belnap (1970). Review: R. B. Angell, A Propositional Logic with Subjunctive Conditionals. [REVIEW] Journal of Symbolic Logic 35 (3):464-465.
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  2. Alan R. Anderson & Nuel D. Belnap (1975). Entailment: The Logic of Relevance and Neccessity, Vol. I. Princeton University Press.
  3.  4
    Nuel D. Belnap & John R. Wallace (1965). A Decision Procedure For the SystemEĪ of Entailment with Negation. Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 11 (4):277-289.
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  4.  2
    Alan Ross Anderson, Nuel D. Belnap & John R. Wallace (1960). Independent Axiom Schemata for the Pure Theory of Entailment. Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 6 (1-6):93-95.
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  5.  6
    Alan Ross Anderson, Nuel D. Belnap & John R. Wallace (1960). Independent Axiom Schemata for the Pure Theory of Entailment. Mathematical Logic Quarterly 6 (1‐6):93-95.
  6.  4
    Nuel D. Belnap & John R. Wallace (1965). A Decision Procedure For the System EĪ of Entailment with Negation. Mathematical Logic Quarterly 11 (4):277-289.
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  7.  12
    N. D. Belnap, H. Leblanc & R. H. Thomason (1963). On Not Strengthening Intuitionistic Logic. Notre Dame Journal of Formal Logic 4 (4):313-320.
    tic sequenzen-kalkul of Gentzen, into rules for PCc, the classical sequenzenkalkul. We shall limit ourselves here to sequenzen or turnstile statements of the form A„A„..., A„ I- B, where A„A„..., A„(n ~ 0), and B are wffs consisting of propositional variables, zero or more of the connectives '5', "v', ' ', ')', and '=', and zero or more parentheses. One can pass from PCi to PCc by amending the intelim rules for ' a result of long standing, or by amending (...)
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  8. A. R. Anderson & N. D. Belnap (1971). First Degree Entailments. Journal of Symbolic Logic 36 (3):520-521.
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  9.  27
    N. Belnap, Nuel Belnap Under Carnap's Lamp: Flat Pre-Semantics.
    “Flat pre-semantics” lets each parameter of truth be considered separately and equally, and without worrying about grammatical complications. This allows one to become a little clearer on a variety of philosophical-logical points, such as the usefulness of Carnapian tolerance and the deep relativity of truth. A more definite result of thinking in terms of flat pre-semantics lies in the articulation of some instructive ways of categorizing operations on meanings in purely logical terms in relation to various parameters of truth ; (...)
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  10.  10
    José M. Méndez (1987). Axiomatizing E→ and R→ with Anderson and Belnap's 'Strong and Natural'list of Valid Entailments. Bulletin of the Section of Logic 16 (1):2-7.
    We provide all possible axiomatizations with independent axioms of E→ and R→ formulable with Anderson and Belnap’s list.
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  11.  3
    Stig Kanger (1971). Review: A. R. Anderson, N. D. Belnap Jr., First Degree Entailments. [REVIEW] Journal of Symbolic Logic 36 (3):520-521.
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  12. Richard Routley (1980). ANDERSON, A. R. & BELNAP, N. D., "Entailment: The Logic of Relevance and Necessity". [REVIEW] Australasian Journal of Philosophy 58:405.
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  13. Donald Paul Snyder (1973). Review: Alan Ross Anderson, Nuel D. Belnap, John R. Wallace, Independent Axiom Schemata for the Pure Theory of Entailment. [REVIEW] Journal of Symbolic Logic 38 (2):327-328.
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  14. Gemma Robles, José M. Méndez & Francisco Salto (2010). A Modal Restriction of R-Mingle with the Variable-Sharing Property. Logic and Logical Philosophy 19 (4):341-351.
    A restriction of R-Mingle with the variable-sharing property and the Ackermann properties is defined. From an intuitive semantical point of view, this restriction is an alternative to Anderson and Belnap’s logic of entailment E.
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  15.  27
    Eunsuk Yang (2013). R and Relevance Principle Revisited. Journal of Philosophical Logic 42 (5):767-782.
    This paper first shows that some versions of the logic R of Relevance do not satisfy the relevance principle introduced by Anderson and Belnap, the principle of which is generally accepted as the principle for relevance. After considering several possible (but defective) improvements of the relevance principle, this paper presents a new relevance principle for (three versions of) R, and explains why this principle is better than the original and others.
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  16.  7
    Robert K. Meyer & Steve Giambrone (1980). R+ is Contained in T. Bulletin of the Section of Logic 9 (1):30-32.
    Although the system T of ticket entailment is obviously related to its cousins E and R , it is motivated along quite distinctive lines in Anderson and Belnap [1975]. It would seem, accordingly, that T is more nearly akin to the system P W studied in Martin [1978] than to E and R. The result presented here, however, at least suggests the contrary.
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  17.  9
    José M. Méndez (1990). Exhaustively Axiomatizing RMO with an Appropiate Extension of Anderson and Belnap's “Strong and Natural List of Valid Entailments”. Theoria 5 (1):223-228.
    RMO -> is the result of adding the ‘mingle principle’ (viz. A-> (A -> A)) to Anderson and Belnap’s implicative logic of relevance R->. The aim of this paper is to provide all possible axiomatizations with independent axioms of RMO -> formulable with Anderson and Belnap’s list extended with three characteristic minglish principles.
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  18.  4
    José M. Méndez (1987). Constructive R. Bulletin of the Section of Logic 16 (4):167-173.
    Let R+ be the positive fragment of Anderson and Belnap’s Logic of Relevance, R. And let RMO+ be the result of adding the Mingle principle ) to R+. We have shown in [2] that either a minimal negation or else a semiclassical one can be added to RMO+ preserving the variable-sharing property. Moreover, each of there systems is given a semantics in the Routley-Meyer style. In describing in [2] the models for RMO+ plus minimal negation, we noted that a (...)
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  19.  10
    Kazimierz Swirydowicz (1999). There Exist Exactly Two Maximal Strictly Relevant Extensions of the Relevant Logic R. Journal of Symbolic Logic 64 (3):1125-1154.
    In [60] N. Belnap presented an 8-element matrix for the relevant logic R with the following property: if in an implication A → B the formulas A and B do not have a common variable then there exists a valuation v such that v(A → B) does not belong to the set of designated elements of this matrix. A 6-element matrix of this kind can be found in: R. Routley, R.K. Meyer, V. Plumwood and R.T. Brady [82]. Below we (...)
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  20.  52
    Fabrice Correia (2004). Semantics for Analytic Containment. Studia Logica 77 (1):87-104.
    In 1977, R. B. Angell presented a logic for analytic containment, a notion of relevant implication stronger than Anderson and Belnap's entailment. In this paper I provide for the first time the logic of first degree analytic containment, as presented in [2] and [3], with a semantical characterization—leaving higher degree systems for future investigations. The semantical framework I introduce for this purpose involves a special sort of truth-predicates, which apply to pairs of collections of formulas instead of individual formulas, (...)
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  21. L. R. S., J. M. Dunn & A. Gupta (1990). Truth or Consequences Essays in Honor of Nuel Belnap. Wiley-Blackwell.
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  22.  1
    L. R. S., J. M. Dunn & A. Gupta (1993). Truth or Consequences: Essays in Honor of Nuel Belnap. Philosophical Quarterly 43 (172):399.
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  23. R. A. Bull (1974). Review: Aldo Bressan, A General Interpreted Modal Calculus; Nuel D. Belnap, Foreword. [REVIEW] Journal of Symbolic Logic 39 (2):352-352.
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  24. Alan Ross Anderson, Ruth Barcan Marcus, R. M. Martin & Frederic B. Fitch (eds.) (1975). The Logical Enterprise. Yale University Press.
    Metaphysics and language: Quine, W. V. O. On the individuation of attributes. Körner, S. On some relations between logic and metaphysics. Marcus, R. B. Does the principle of substitutivity rest on a mistake? Van Fraassen, B. C. Platonism's pyrrhic victory. Martin, R. M. On some prepositional relations. Kearns, J. T. Sentences and propositions.--Basic and combinatorial logic: Orgass, R. J. Extended basic logic and ordinal numbers. Curry, H. B. Representation of Markov algorithms by combinators.--Implication and consistency: Anderson, A. R. Fitch (...)
     
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  25.  8
    Subrata Chakrabarty & Liang Wang (2012). The Long-Term Sustenance of Sustainability Practices in MNCs: A Dynamic Capabilities Perspective of the Role of R&D and Internationalization. [REVIEW] Journal of Business Ethics 110 (2):205-217.
    What allows MNCs to maintain their sustainability practices over the long-term? This is an important but under-examined question. To address this question, we investigate both the development and sustenance of sustainability practices. We use the dynamic capabilities perspective, rooted in resource-based view literature, as the theoretical basis. We argue that MNCs that simultaneously pursue both higher R&D intensity and higher internationalization are more capable of developing and maintaining sustainability practices. We test our hypotheses using longitudinal panel data from 1989 to (...)
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  26. Charles R. Pigden (1990). Ought-Implies-Can: Erasmus Luther and R.M. Hare. Sophia 29 (1):2-30.
    l. There is an antinomy in Hare's thought between Ought-Implies-Can and No-Indicatives-from-Imperatives. It cannot be resolved by drawing a distinction between implication and entailment. 2. Luther resolved this antinomy in the l6th century, but to understand his solution, we need to understand his problem. He thought the necessity of Divine foreknowledge removed contingency from human acts, thus making it impossible for sinners to do otherwise than sin. 3. Erasmus objected (on behalf of Free Will) that this violates Ought-Implies-Can which he (...)
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  27.  29
    J. Michael Dunn (2000). Partiality and its Dual. Studia Logica 66 (1):5-40.
    This paper explores allowing truth value assignments to be undetermined or "partial" and overdetermined or "inconsistent", thus returning to an investigation of the four-valued semantics that I initiated in the sixties. I examine some natural consequence relations and show how they are related to existing logics, including ukasiewicz's three-valued logic, Kleene's three-valued logic, Anderson and Belnap's relevant entailments, Priest's "Logic of Paradox", and the first-degree fragment of the Dunn-McCall system "R-mingle". None of these systems have nested implications, and I (...)
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  28.  34
    James Tabery (2008). R. A. Fisher, Lancelot Hogben, and the Origin(s) of Genotype-Environment Interaction. Journal of the History of Biology 41 (4):717 - 761.
    This essay examines the origin(s) of genotype-environment interaction, or G×E. "Origin(s)" and not "the origin" because the thesis is that there were actually two distinct concepts of G×E at this beginning: a biometric concept, or \[G \times E_B\] , and a developmental concept, or \[G \times E_D \] . R. A. Fisher, one of the founders of population genetics and the creator of the statistical analysis of variance, introduced the biometric concept as he attempted to resolve one of the main (...)
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  29.  12
    Desh Raj Sirswal, Dr. B.R. Ambedkar: A Modern Indian Philosopher.
    Dr. B.R. Ambedkar is one of the names that changed social order of the age-old tradition of suppression and humiliation. He was an intellectual, scholar & statesman and contributed greatly in the nation building. He led a number of movements to emancipate the downtrodden masses and to secure human rights to millions of depressed classes. He has left an indelible imprint through his immense contribution in framing the modern Constitution of free India. He stands as a symbol of struggle for (...)
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  30.  77
    Steffen Lempp, André Nies & D. Reed Solomon (2001). On the Filter of Computably Enumerable Supersets of an R-Maximal Set. Archive for Mathematical Logic 40 (6):415-423.
    We study the filter ℒ*(A) of computably enumerable supersets (modulo finite sets) of an r-maximal set A and show that, for some such set A, the property of being cofinite in ℒ*(A) is still Σ0 3-complete. This implies that for this A, there is no uniformly computably enumerable “tower” of sets exhausting exactly the coinfinite sets in ℒ*(A).
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  31.  14
    Michael De & Hitoshi Omori (2015). Classical Negation and Expansions of Belnap–Dunn Logic. Studia Logica 103 (4):825-851.
    We investigate the notion of classical negation from a non-classical perspective. In particular, one aim is to determine what classical negation amounts to in a paracomplete and paraconsistent four-valued setting. We first give a general semantic characterization of classical negation and then consider an axiomatic expansion BD+ of four-valued Belnap–Dunn logic by classical negation. We show the expansion complete and maximal. Finally, we compare BD+ to some related systems found in the literature, specifically a four-valued modal logic of Béziau (...)
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  32.  48
    A. H. Louie (2006). (M,R)-Systems and Their Realizations. Axiomathes 16 (1-2):35-64.
    Robert Rosen’s (M,R)-systems are a class of relational models that define organisms. The realization of relational models plays a central role in his study of life, itself. Biology becomes identified with the class of material realizations of a certain kind of relational organization, exhibited in (M,R)-systems. In this paper I describe several realizations of (M,R)-systems, and in particular alternate realizations of the replication component.
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  33. Charles H. Pence (2011). “Describing Our Whole Experience”: The Statistical Philosophies of W. F. R. Weldon and Karl Pearson. Studies in History and Philosophy of Biological and Biomedical Sciences 42 (4):475-485.
    There are two motivations commonly ascribed to historical actors for taking up statistics: to reduce complicated data to a mean value (e.g., Quetelet), and to take account of diversity (e.g., Galton). Different motivations will, it is assumed, lead to different methodological decisions in the practice of the statistical sciences. Karl Pearson and W. F. R. Weldon are generally seen as following directly in Galton’s footsteps. I argue for two related theses in light of this standard interpretation, based on a reading (...)
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  34.  6
    Desh Raj Sirswal, The Role of Religious and Spiritual Values in Shaping Humanity (A Study of Dr. B.R. Ambedkar’s Religious Philosophy).
    Values are an important part of human existence, his society and human relations. All social, economic, political, and religious problems are in one sense is reflection of this special abstraction of human knowledge. We are living in a globalized village and thinking much about values rather than practice of it. If we define religion and spirituality we can say that religion is a set of beliefs and rituals that claim to get a person in a right relationship with God, and (...)
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  35.  59
    Alasdair Urquhart (2010). Anderson and Belnap's Invitation to Sin. Journal of Philosophical Logic 39 (4):453 - 472.
    Quine has argued that modal logic began with the sin of confusing use and mention. Anderson and Belnap, on the other hand, have offered us a way out through a strategy of nominahzation. This paper reviews the history of Lewis's early work in modal logic, and then proves some results about the system in which "A is necessary" is intepreted as "A is a classical tautology.".
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  36.  24
    Marie-Laure Cabon-Dhersin & Shyama V. Ramani (2004). Does Trust Matter for R&D Cooperation? A Game Theoretic Examination. Theory and Decision 57 (2):143-180.
    The game theoretical approach to R&D cooperation does not investigate the role of trust in the initiation and success of R&D cooperation: it either assumes that firms are non-opportunists or that the R&D cooperation is supported by an incentive mechanism that eliminates opportunism. In contrast, the present paper focuses on these issues by introducing incomplete information and two types of firms: opportunist and non-opportunist. Defining trust as the belief of each firm that its potential collaborator will respect the contract, it (...)
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  37. Félix Bou & Umberto Rivieccio (2011). The Logic of Distributive Bilattices. 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 (...)
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  38.  3
    Alexej P. Pynko (1995). Characterizing Belnap's Logic Via De Morgan's Laws. Mathematical Logic Quarterly 41 (4):442-454.
    The aim of this paper is technically to study Belnap's four-valued sentential logic . First, we obtain a Gentzen-style axiomatization of this logic that contains no structural rules while all they are still admissible in the Gentzen system what is proved with using some algebraic tools. Further, the mentioned logic is proved to be the least closure operator on the set of {Λ, V, ⌝}-formulas satisfying Tarski's conditions for classical conjunction and disjunction together with De Morgan's laws for negation. (...)
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  39.  15
    Yanping Liu (2015). Skopos Theory and Legal Translation: A Case Study of Examples From the Criminal Law of the P.R.C. International Journal for the Semiotics of Law - Revue Internationale de Sémiotique Juridique 28 (1):125-133.
    Legal translation has become a principal means to unfold Chinese laws to the world in the global era and the study of it has proved to be of practical significance. Since the proper theory guidance is the key to the quality of LT translation, this paper focuses on the Skopos theory and the strategies applied in the practice of LT. A case study of LT examples from the Criminal Law of the P.R.C. has been made while briefly reviewing the Skopos (...)
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  40.  53
    Robert K. Meyer & Greg Restall, “Strenge” Arithmetics.
    In Entailment, Anderson and Belnap motivated their modification E of Ackermann’s strenge Implikation Π Π’ as a logic of relevance and necessity. The kindred system R was seen as relevant but not as modal. Our systems of Peano arithmetic R# and omega arithmetic R## were based on R to avoid fallacies of relevance. But problems arose as to which arithmetic sentences were (relevantly) true. Here we base analogous systems on E to solve those problems. Central to motivating E is (...)
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  41.  39
    Edwin D. Mares (1994). Why We Need a Relevant Theory of Conditionals. Topoi 13 (1):31-36.
    This paper presents ConR (Conditional R), a logic of conditionals based on Anderson and Belnap''s system R. A Routley-Meyer-style semantics for ConR is given for the system (the completeness of ConR over this semantics is proved in E. Mares and A. Fuhrmann, A Relevant Theory of Conditionals (unpublished MS)). Moreover, it is argued that adopting a relevant theory of conditionals will improve certain theories that utilize conditionals, i.e. Lewis'' theory of causation, Lewis'' dyadic deontic logic, and Chellas'' dyadic deontic (...)
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  42.  14
    Alan Ross Anderson (1972). An Intensional Interpretation of Truth-Values. Mind 81 (323):348-371.
    R-Dagger is the theory of relevant implication, Got from the calculus r (see belnap, Jsl, 32, 1-22), By adding machinery for propositional quantification. In r-Dagger define t as for some p, P, F as for all p, P. Then (t, F) is closed in r-Dagger under truth-Functions and relevant implication, Which, When confined to (t, F) acts just like material 'implication.' but r-Dagger admits of many propositions other than t, F. The article also contains polemics against extensionalism and nominalism. (...)
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  43.  16
    Robert K. Meyer (1998). ⊃E is Admissible in “True” Relevant Arithmetic. Journal of Philosophical Logic 27 (4):327 - 351.
    The system R## of "true" relevant arithmetic is got by adding the ω-rule "Infer VxAx from AO, A1, A2, ...." to the system R# of "relevant Peano arithmetic". The rule ⊃E (or "gamma") is admissible for R##. This contrasts with the counterexample to ⊃E for R# (Friedman & Meyer, "Whither Relevant Arithmetic"). There is a Way Up part of the proof, which selects an arbitrary non-theorem C of R## and which builds by generalizing Henkin and Belnap arguments a prime (...)
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  44.  17
    Helen E. Lees (2012). Is R.S. Peters' Way of Mentioning Women in His Texts Detrimental to Philosophy of Education? Some Considerations and Questions. Ethics and Education 7 (3):291-302.
    . Is R.S. Peters' way of mentioning women in his texts detrimental to philosophy of education? Some considerations and questions. Ethics and Education: Vol. 7, Creating spaces, pp. 291-302. doi: 10.1080/17449642.2013.767002.
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  45.  5
    David A. Hollinger (1975). Morris R. Cohen and the Scientific Ideal. MIT Press.
    This is Hollinger's book on the life and work of the American philosopher of science Morris R. Cohen.
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  46.  17
    Diderik Batens (1987). Relevant Implication and the Weak Deduction Theorem. Studia Logica 46 (3):239 - 245.
    It is shown that the implicational fragment of Anderson and Belnap's R, i.e. Church's weak implicational calculus, is not uniquely characterized by MP (modus ponens), US (uniform substitution), and WDT (Church's weak deduction theorem). It is also shown that no unique logic is characterized by these, but that the addition of further rules results in the implicational fragment of R. A similar result for E is mentioned.
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  47. David Boucher, James Connelly, Tariq Modood & R. G. Collingwood Society (1995). Philosophy, History and Civilization Interdisciplinary Perspectives on R.G. Collingwood. Monograph Collection (Matt - Pseudo).
     
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  48.  15
    John Slaney & Edward Walker (2014). The One-Variable Fragment of T→. Journal of Philosophical Logic 43 (5):867-878.
    We show that there are infinitely many pairwise non-equivalent formulae in one propositional variable p in the pure implication fragment of the logic T of “ticket entailment” proposed by Anderson and Belnap. This answers a question posed by R. K. Meyer.
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  49.  35
    David Sloan Wilson (1999). A Critique of R.D. Alexander's Views on Group Selection. Biology and Philosophy 14 (3):431-449.
    Group selection is increasingly being viewed as an important force in human evolution. This paper examines the views of R.D. Alexander, one of the most influential thinkers about human behavior from an evolutionary perspective, on the subject of group selection. Alexander's general conception of evolution is based on the gene-centered approach of G.C. Williams, but he has also emphasized a potential role for group selection in the evolution of individual genomes and in human evolution. Alexander's views are internally inconsistent and (...)
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  50.  9
    Guido Vanheeswijck (1992). Metafysica AlS een historische discipline: De actualiteit Van R.g. Collingwoods „hervormde metafysica”. Tijdschrift Voor Filosofie 54 (1):42 - 69.
    Both in An Autobiography and in An Essay on Metaphysics R.G. Collingwood defines the study of metaphysics as primarily at any time an attempt to discover the absolute presuppositions of thinking and secondarily as an attempt to discover the corresponding absolute presuppositions of other peoples and other times, and to follow the historical process by which one set of presuppositions has turned into another. In addition, he states that the distinction between what is true and what is false does not (...)
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