Search results for 'Augustus De Morgan' (try it on Scholar)

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  1. Anne Morgan (2008). Simone de Beauvoir's Ethics of Freedom and Absolute Evil. Hypatia 23 (4):pp. 75-89.score: 240.0
    Simone de Beauvoir held that human experience is intrinsically ambiguous and that there are no values extrinsic to experience, but she also designated some actions as absolute evil. This essay explains how Beauvoir utilized an intrinsic absolute value to ground an action-guiding principle of freedom that justifies her notion of evil. Morgan’s analysis counters Robin May Schott’s objections that Beauvoir failed to systematically justify her notion of absolute evil and that Beauvoir shifted from a “logic of action” to a (...)
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  2. Ruth De Celis, Gilberto Morgan, Alejandro Bravo & Alfredo Feria (2006). Cáncer de mama y exposición a hidrocarburos aromáticos. e. Gnosis 4:1-8.score: 210.0
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  3. Sébastien Gandon (2009). La théorie des rapports chez Augustus De Morgan. Revue d'Histoire des Sciences 1:285-311.score: 151.0
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  4. Daniel D. Merrill (2005). Augustus De Morgan's Boolean Algebra. History and Philosophy of Logic 26 (2):75-91.score: 104.0
    De Morgan's Formal Logic, which was published on virtually the same day in 1847 as Boole's The Mathematical Analysis of Logic, contains a logic of complex terms (LCT) which has been sadly neglected. It is surprising to find that LCT contains almost a full theory of Boolean algebra. This paper will: (1) provide some background to LCT; (2) outline its main features; (3) point out some gaps in it; (4) compare it with Boole's algebra; (5) show that it is (...)
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  5. Sébastien Gandon (2009). The Theory of Relations in Augustus de Morgan. Revue d'Histoire des Sciences 62 (1):285.score: 91.0
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  6. Christopher Phillips (2005). Augustus De Morgan and the Propagation of Moral Mathematics. Studies in History and Philosophy of Science Part A 36 (1):105-133.score: 90.0
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  7. Norman Kretzmann (1955). Book Review:A Budget of Paradoxes Augustus De Morgan, David Eugene Smith. [REVIEW] Philosophy of Science 22 (2):171-.score: 90.0
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  8. Alonzo Church (1976). Review: Augustus de Morgan, On the Syllogism and Other Logical Writings by Augustus de Morgan. [REVIEW] Journal of Symbolic Logic 41 (2):546-547.score: 90.0
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  9. Charles J. Kelly (1992). Augustus De Morgan and the Logic of Relations. By Daniel D. Merrill. The Modern Schoolman 70 (1):70-73.score: 90.0
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  10. Luis M. Laita (1979). Influences on Boole's Logic: The Controversy Between William Hamilton and Augustus De Morgan. Annals of Science 36 (1):45-65.score: 90.0
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  11. Adrian Rice (1996). Augustus De Morgan: Historian of Science. History of Science 34 (104):201-240.score: 90.0
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  12. Joan L. Richards (2002). “In a Rational World All Radicals Would Be Exterminated”: Mathematics, Logic and Secular Thinking in Augustus De Morgan's England. Science in Context 15 (1).score: 90.0
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  13. Alonzo Church (1975). Review: G. L. Farre, De Morgan, Augustus. [REVIEW] Journal of Symbolic Logic 40 (4):596-596.score: 87.0
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  14. Sergio A. Celani (2011). Classical Modal De Morgan Algebras. Studia Logica 98 (1-2):251-266.score: 84.0
    In this note we introduce the variety $${{\mathcal C}{\mathcal D}{\mathcal M}_\square}$$ of classical modal De Morgan algebras as a generalization of the variety $${{{\mathcal T}{\mathcal M}{\mathcal A}}}$$ of Tetravalent Modal algebras studied in [ 11 ]. We show that the variety $${{\mathcal V}_0}$$ defined by H. P. Sankappanavar in [ 13 ], and the variety S of Involutive Stone algebras introduced by R. Cignoli and M. S de Gallego in [ 5 ], are examples of classical modal De (...) algebras. We give a representation theory, and we study the regular filters, i.e., lattice filters closed under an implication operation. Finally we prove that the variety $${{{\mathcal T}{\mathcal M}{\mathcal A}}}$$ has the Amalgamation Property and the Superamalgamation Property. (shrink)
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  15. Katalin Bimbó (2007). Functorial Duality for Ortholattices and de Morgan Lattices. Logica Universalis 1 (2):311-333.score: 84.0
    . Relational semantics for nonclassical logics lead straightforwardly to topological representation theorems of their algebras. Ortholattices and De Morgan lattices are reducts of the algebras of various nonclassical logics. We define three new classes of topological spaces so that the lattice categories and the corresponding categories of topological spaces turn out to be dually isomorphic. A key feature of all these topological spaces is that they are ordered relational or ordered product topologies.
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  16. Valeria Castaño & Marcela Muñoz Santis (2011). Subalgebras of Heyting and De Morgan Heyting Algebras. Studia Logica 98 (1-2):123-139.score: 84.0
    In this paper we obtain characterizations of subalgebras of Heyting algebras and De Morgan Heyting algebras. In both cases we obtain these characterizations by defining certain equivalence relations on the Priestley-type topological representations of the corresponding algebras. As a particular case we derive the characterization of maximal subalgebras of Heyting algebras given by M. Adams for the finite case.
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  17. T. S. Blyth, Jie Fang & Lei-bo Wang (forthcoming). De Morgan Algebras with a Quasi-Stone Operator. Studia Logica:1-16.score: 84.0
    We investigate the class of those algebras (L; º, *) in which (L; º) is a de Morgan algebra, (L; *) is a quasi-Stone algebra, and the operations ${x \mapsto x^{\circ}}$ and ${x \mapsto x^{*}}$ are linked by the identity x**º = x*º*. We show that such an algebra is subdirectly irreducible if and only if its congruence lattice is either a 2-element chain or a 3-element chain. In particular, there are precisely eight non-isomorphic subdirectly irreducible Stone de (...) algebras. (shrink)
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  18. John V. Strong (1976). The Infinite Ballot Box of Nature: De Morgan, Boole, and Jevons on Probability and the Logic of Induction. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1976:197 - 211.score: 72.0
    The project of constructing a logic of scientific inference on the basis of mathematical probability theory was first undertaken in a systematic way by the mid-nineteenth-century British logicians Augustus De Morgan, George Boole and William Stanley Jevons. This paper sketches the origins and motivation of that effort, the emergence of the inverse probability (IP) model of theory assessment, and the vicissitudes which that model suffered at the hands of its critics. Particular emphasis is given to the influence which (...)
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  19. Adrian Rice (2003). 'Everybody Makes Errors': The Intersection of De Morgan's Logic and Probability, 1837 – 1847. History and Philosophy of Logic 24 (4):289-305.score: 72.0
    For Ivor Grattan-Guinness on the occasion of his retirement. The work of Augustus De Morgan on symbolic logic in the mid-nineteenth century is familiar to historians of logic and mathematics alike. What is less well known is his work on probability and, more specifically, the use of probabilistic ideas and methods in his logic. The majority of De Morgan's work on probability was undertaken around 1837???1838, with his earliest publications on logic appearing from 1839, a period which (...)
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  20. Ruth Wallis (1997). Edward Cocker (1632?–1676) and His Arithmetick: De Morgan Demolished. Annals of Science 54 (5):507-522.score: 72.0
    Summary Edward Cocker was a well-known writing master and engraver during his lifetime, but is chiefly remembered for his posthumous arithmetic textbook, immortalized in the saying ?According to Cocker?. The book proved popular, being right for its time, and it remained in use for a century. It unexpectedly became the subject of controversy when Augustus De Morgan pronounced it to be the produce of its editor, John Hawkins. Research now shows that there is little doubt that it was (...)
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  21. Valeria Castaño & Marcela Muñoz Santis (2011). De Morgan Heyting Algebras Satisfying the Identity Xn() X(N+1)(). Mathematical Logic Quarterly 57 (3):236-245.score: 70.0
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  22. Hernando Gaitán (1998). Free Algebras in Certain Varieties of Distributive Pseudocomplemented De Morgan Algebras. Mathematical Logic Quarterly 44 (4):553-567.score: 70.0
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  23. Alexej P. Pynko (1995). Characterizing Belnap's Logic Via De Morgan's Laws. Mathematical Logic Quarterly 41 (4):442-454.score: 70.0
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  24. Hannes Leitgeb (1999). Truth and the Liar in De Morgan-Valued Models. Notre Dame Journal of Formal Logic 40 (4):496-514.score: 56.0
    The aim of this paper is to give a certain algebraic account of truth: we want to define what we mean by De Morgan-valued truth models and show their existence even in the case of semantical closure: that is, languages may contain their own truth predicate if they are interpreted by De Morgan-valued models. Before we can prove this result, we have to repeat some basic facts concerning De Morgan-valued models in general, and we will introduce a (...)
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  25. G. Cattaneo, J. Hamhalter & P. Pták (2000). On the de Morgan Property of the Standard Brouwer–Zadeh Poset. Foundations of Physics 30 (10):1801-1805.score: 56.0
    The standard Brouwer–Zadeh poset Σ(H) is the poset of all effect operators on a Hilbert space H, naturally equipped with two types of orthocomplementation. In developing the theory, the question occured if (when) Σ(H) fulfils the de Morgan property with respect to both orthocomplementation operations. In Ref.3 the authors proved that it is the case provided dimH<∞, and they conjectured that if dimH=∞, then the answer is in the negative. In this note, we first give a somewhat simpler proof (...)
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  26. Stephen Crain, Why No Child or Adult Must Learn de Morgan's Laws.score: 56.0
    Much recent research on child language has been inspired by linguistic principles uncovered by linguists working in the generative framework. Developmental psycholinguists have demonstrated young children’s mastery of a variety of linguistic principles; mostly syntactic principles, but also some semantic principles. The present paper contributes to research on the acquisition of semantics by presenting the findings of a new experiment designed to investigate young children’s knowledge of downward entailment, which is a basic semantic property of Universal Grammar. Section 2 describes (...)
     
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  27. Andrea Gualmini & Stephen Crain, Why No Child or Adult Must Learn De Morgan's Laws.score: 56.0
    Much recent research on child language has been inspired by linguistic principles uncovered by linguists working in the generative framework. Developmental psycholinguists have demonstrated young children’s mastery of a variety of linguistic principles; mostly syntactic principles, but also some semantic principles. The present paper contributes to research on the acquisition of semantics by presenting the findings of a new experiment designed to investigate young children’s knowledge of downward entailment, which is a basic semantic property of Universal Grammar. Section 2 describes (...)
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  28. Víctor Sánchez Valencia (1997). Head or Tail? De Morgan on the Bounds of Traditional Logic. History and Philosophy of Logic 18 (3):123-138.score: 56.0
    This paper is concerned with De Morgan?s explanation of the validity of arguments that involve relational notions. It discusses De Morgan?s expansion of traditional logic aimed at accommodating those inferences, and makes the point that his endeavour is not successful in that the rules that made up his new logic are not sound. Nevertheless, the most important scholarly work on De Morgan?s logic, and contrary to that De Morgan?s mistake is not beyond repair. The rules that (...)
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  29. T. S. Blyth & Jie Fang (2007). Congruence Coherent Symmetric Extended de Morgan Algebras. Studia Logica 87 (1):51 - 63.score: 56.0
    An algebra A is said to be congruence coherent if every subalgebra of A that contains a class of some congruence on A is a union of -classes. This property has been investigated in several varieties of lattice-based algebras. These include, for example, de Morgan algebras, p-algebras, double p-algebras, and double MS-algebras. Here we determine precisely when the property holds in the class of symmetric extended de Morgan algebras.
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  30. J. Atlas (1997). Negative Adverbials, Prototypical Negation and the De Morgan Taxonomy. Journal of Semantics 14 (4):349-367.score: 56.0
    Gamut (1991) and Atlas (1991, 1993, 1996b) showed that the Generalized Quantifier 1only Proper Name1 licenses Negative Polarity Items but fails to be downwards monotonic in Barwise & Cooper's (1981) sense. In Atlas (1996a, in press) I examined Zwarts's (1996, 1998) De Morgan taxonomy for negative Noun Phrases. Two of the four De Morgan entailments used by Zwarts to characterize the negation of negative Noun Phrases express downward monotonicity of the Noun Phrase Q, viz. Q(For G) ⊩ QF& (...)
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  31. Hernando Gaitán & Milton H. Perea (2004). A Non-Finitely Based Quasi-Variety of de Morgan Algebras. Studia Logica 78 (1-2):237 - 248.score: 56.0
    In this paper we exhibit a non-finitely based, finitely generated quasi-variety of De Morgan algebras and determine the bottom of the lattices of sub-quasi-varieties of Kleene and De Morgan algebras.
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  32. B. Herrmann & W. Rautenberg (1990). Axiomatization of the de Morgan Type Rules. Studia Logica 49 (3):333 - 343.score: 56.0
    In Section 1 we show that the De Morgan type rules (= sequential rules in L(, ) which remain correct if and are interchanged) are finitely based. Section 2 contains a similar result for L(). These results are essentially based on special properties of some equational theories.
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  33. Cândida Palma & Raquel Santos (2001). Principal Congruences on Semi-de Morgan Algebras. Studia Logica 67 (1):75-88.score: 56.0
    In this paper we use Hobby's duality for semi-De Morgan algebras, to characterize those algebras having only principal congruences in the classes of semi-De Morgan algebras, demi-pseudocomplemented lattices and almost pseudocomplemented lattices. This work extends some of the results reached by Beazer in [3] and [4].
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  34. V. Sánchez Valencia (2001). An Athenaeum Curiosity: De Morgan's Reviews of Boole and Jevons. History and Philosophy of Logic 22 (2):75-79.score: 56.0
    In this note we reproduce the book reviews that De Morgan wrote on Boole's and Jevons's first logical works. The most notable property of these documents is the mere fact of their existence and the absence of any reference to them in the specialized literature.
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  35. H. P. Sankappanavar (2011). Expansions of Semi-Heyting Algebras I: Discriminator Varieties. Studia Logica 98 (1-2):27-81.score: 42.0
    This paper is a contribution toward developing a theory of expansions of semi-Heyting algebras. It grew out of an attempt to settle a conjecture we had made in 1987. Firstly, we unify and extend strikingly similar results of [ 48 ] and [ 50 ] to the (new) equational class DHMSH of dually hemimorphic semi-Heyting algebras, or to its subvariety BDQDSH of blended dual quasi-De Morgan semi-Heyting algebras, thus settling the conjecture. Secondly, we give a criterion for a unary (...)
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  36. John K. Slaney (1988). On the Structure of De Morgan Monoids with Corollaries on Relevant Logic and Theories. Notre Dame Journal of Formal Logic 30 (1):117-129.score: 42.0
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  37. Hanamantagouda P. Sankappanavar (1987). Semi-de Morgan Algebras. Journal of Symbolic Logic 52 (3):712-724.score: 42.0
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  38. Daniel D. Merrill (1977). On De Morgan's Argument. Notre Dame Journal of Formal Logic 18 (1):133-139.score: 42.0
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  39. R. G. Wengert (1974). Schematizing De Morgan's Argument. Notre Dame Journal of Formal Logic 15 (1):165-166.score: 42.0
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  40. George Bruce Halsted (1900). De Morgan to Sylvester. The Monist 10 (2):188-197.score: 42.0
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  41. Michiro Kondo (1995). Classification of Weak De Morgan Algebras. Notre Dame Journal of Formal Logic 36 (3):396-406.score: 42.0
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  42. Evert W. Beth (1947). The Evolution of Ideas l'Évolution Des Idées Zur Ideengeschichte Hundred Years of Symbolic Logic a Retrospect on the Occasion of the Boole de Morgan Centenary. Dialectica 1 (4):331-346.score: 42.0
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  43. George Boole (1982). The Boole-De Morgan Correspondence, 1842-1864. Oxford University Press.score: 42.0
  44. Georg Brun (2012). Adequate Formalization and de Morgan's Argument. Grazer Philosophische Studien 85 (1):325-335.score: 42.0
    Lampert and Baumgartner (2010) critically discuss accounts of adequate formalization focusing on my analysis in (Brun 2004). There, I investigated three types of criteria of adequacy (matching truth conditions or inferential role, corresponding syntactical surface and systematicity) and argued that they ultimately call for a procedure of formalization. Although Lampert and Baumgartner have a point about matching truth conditions, their arguments target a truncated version of my account. They ignore all aspects of systematicity which make their counter-example unconvincing.
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  45. Atlas Jay David (1997). Negative Adverbials, Prototypical Negation and the de Morgan Taxonomy. Journal of Semantics 14 (4).score: 42.0
     
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  46. Andre T. Fuhrmann (1986). Gentzen Semantics for de Morgan Lattice Logic1. Bulletin of the Section of Logic 15 (1):96-102.score: 42.0
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  47. Theodore Hailperin (1984). Review: G. C. Smith, The Boole-De Morgan Correspondence 1842-1864. [REVIEW] Journal of Symbolic Logic 49 (2):657-659.score: 42.0
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  48. George Bruce Halsted (1884). De Morgan as Logician. Journal of Speculative Philosophy 18 (1):1 - 9.score: 42.0
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  49. Leon Henkin (1963). Review: Antonio Monteiro, Matrices de Morgan Caracteristiques pour le Calcul Propositionnel Classique. [REVIEW] Journal of Symbolic Logic 28 (2):174-175.score: 42.0
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