Search results for 'Category' (try it on Scholar)

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  1. Jonathan Bain (2013). Category-Theoretic Structure and Radical Ontic Structural Realism. Synthese 190 (9):1621-1635.
    Radical Ontic Structural Realism (ROSR) claims that structure exists independently of objects that may instantiate it. Critics of ROSR contend that this claim is conceptually incoherent, insofar as, (i) it entails there can be relations without relata, and (ii) there is a conceptual dependence between relations and relata. In this essay I suggest that (ii) is motivated by a set-theoretic formulation of structure, and that adopting a category-theoretic formulation may provide ROSR with more support. In particular, I consider how (...)
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  2.  67
    Marcoen J. T. F. Cabbolet (2015). The Importance of Developing a Foundation for Naive Category Theory. Thought: A Journal of Philosophy 4 (4):237-242.
    Recently Feferman has outlined a program for the development of a foundation for naive category theory. While Ernst has shown that the resulting axiomatic system is still inconsistent, the purpose of this note is to show that nevertheless some foundation has to be developed before naive category theory can replace axiomatic set theory as a foundational theory for mathematics. It is argued that in naive category theory currently a ‘cookbook recipe’ is used for constructing categories, and it (...)
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  3.  84
    David Ellerman, On the Self-Predicative Universals of Category Theory.
    This paper shows how the universals of category theory in mathematics provide a model (in the Platonic Heaven of mathematics) for the self-predicative strand of Plato's Theory of Forms as well as for the idea of a "concrete universal" in Hegel and similar ideas of paradigmatic exemplars in ordinary thought. The paper also shows how the always-self-predicative universals of category theory provide the "opposite bookend" to the never-self-predicative universals of iterative set theory and thus that the paradoxes arose (...)
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  4.  74
    Shay Logan (2015). Category Theory is a Contentful Theory. Philosophia Mathematica 23 (1):110-115.
    Linnebo and Pettigrew present some objections to category theory as an autonomous foundation. They do a commendable job making clear several distinct senses of ‘autonomous’ as it occurs in the phrase ‘autonomous foundation’. Unfortunately, their paper seems to treat the ‘categorist’ perspective rather unfairly. Several infelicities of this sort were addressed by McLarty. In this note I address yet another apparent infelicity.
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  5.  14
    Benjamin Eva (2016). Category Theory and Physical Structuralism. European Journal for Philosophy of Science 6 (2):231-246.
    As a metaphysical theory, radical ontic structural realism is characterised mainly in terms of the ontological primacy it places on relations and structures, as opposed to the individual relata and objects that inhabit these relations/structures. The most popular criticism of ROSR is that its central thesis is incoherent. Bain attempts to address this criticism by arguing that the mathematical language of category theory allows for a coherent articulation of ROSR’s key thesis. Subsequently, Wüthrich and Lam and Lal and Teh (...)
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  6. Ofra Magidor (2009). Category Mistakes Are Meaningful. Linguistics and Philosophy 32 (6):553-581.
    Category mistakes are sentences such as ‘Colourless green ideas sleep furiously’ or ‘The theory of relativity is eating breakfast’. Such sentences are highly anomalous, and this has led a large number of linguists and philosophers to conclude that they are meaningless (call this ‘the meaninglessness view’). In this paper I argue that the meaninglessness view is incorrect and category mistakes are meaningful. I provide four arguments against the meaninglessness view: in Sect. 2, an argument concerning compositionality with respect (...)
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  7.  60
    David Ellerman (forthcoming). On Concrete Universals: A Modern Treatment Using Category Theory. AL-MUKHATABAT.
    Today it would be considered "bad Platonic metaphysics" to think that among all the concrete instances of a property there could be a universal instance so that all instances had the property by virtue of participating in that concrete universal. Yet there is a mathematical theory, category theory, dating from the mid-20th century that shows how to precisely model concrete universals within the "Platonic Heaven" of mathematics. This paper, written for the philosophical logician, develops this category-theoretic treatment of (...)
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  8. Jan Westerhoff (2002). Defining 'Ontological Category'. Proceedings of the Aristotelian Society 102 (3):287–293.
    Although a considerable degree of precision has been introduced both into the formulation and the discussion of ontological theories by the use of formal methods there is still a remarkable indefiniteness about foundational issues. In particular it is not clear what an ontological category is and why we regard something as an ontological category. This is amazing given that the notion of ontological category is in fact the most basic of the whole of ontology: it is what (...)
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  9.  34
    Glyn W. Humphreys & Emer M. E. Forde (2001). Hierarchies, Similarity, and Interactivity in Object Recognition: “Category-Specific” Neuropsychological Deficits. Behavioral and Brain Sciences 24 (3):453-476.
    Category-specific impairments of object recognition and naming are among the most intriguing disorders in neuropsychology, affecting the retrieval of knowledge about either living or nonliving things. They can give us insight into the nature of our representations of objects: Have we evolved different neural systems for recognizing different categories of object? What kinds of knowledge are important for recognizing particular objects? How does visual similarity within a category influence object recognition and representation? What is the nature of our (...)
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  10.  31
    Joseph J. Williams & Tania Lombrozo (2010). The Role of Explanation in Discovery and Generalization: Evidence From Category Learning. Cognitive Science 34 (5):776-806.
    Research in education and cognitive development suggests that explaining plays a key role in learning and generalization: When learners provide explanations—even to themselves—they learn more effectively and generalize more readily to novel situations. This paper proposes and tests a subsumptive constraints account of this effect. Motivated by philosophical theories of explanation, this account predicts that explaining guides learners to interpret what they are learning in terms of unifying patterns or regularities, which promotes the discovery of broad generalizations. Three experiments provide (...)
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  11.  48
    C. J. Isham (2005). Quantising on a Category. Foundations of Physics 35 (2):271-297.
    We review the problem of finding a general framework within which one can construct quantum theories of non-standard models for space, or space-time. The starting point is the observation that entities of this type can typically be regarded as objects in a category whose arrows are structure-preserving maps. This motivates investigating the general problem of quantising a system whose ‘configuration space’ (or history-theory analogue) is the set of objects Ob(Q) in a category Q. We develop a scheme based (...)
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  12.  18
    John Voiklis & James E. Corter (2012). Conventional Wisdom: Negotiating Conventions of Reference Enhances Category Learning. Cognitive Science 36 (4):607-634.
    Collaborators generally coordinate their activities through communication, during which they readily negotiate a shared lexicon for activity-related objects. This social-pragmatic activity both recruits and affects cognitive and social-cognitive processes ranging from selective attention to perspective taking. We ask whether negotiating reference also facilitates category learning or might private verbalization yield comparable facilitation? Participants in three referential conditions learned to classify imaginary creatures according to combinations of functional features—nutritive and destructive—that implicitly defined four categories. Remote partners communicated in the Dialogue (...)
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  13.  46
    Michael John Healy & Thomas Preston Caudell (2006). Ontologies and Worlds in Category Theory: Implications for Neural Systems. [REVIEW] Axiomathes 16 (1-2):165-214.
    We propose category theory, the mathematical theory of structure, as a vehicle for defining ontologies in an unambiguous language with analytical and constructive features. Specifically, we apply categorical logic and model theory, based upon viewing an ontology as a sub-category of a category of theories expressed in a formal logic. In addition to providing mathematical rigor, this approach has several advantages. It allows the incremental analysis of ontologies by basing them in an interconnected hierarchy of theories, with (...)
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  14.  5
    James McKeahnie (2016). ‘IP’ Moral Rights Breaches Are Deception Offences, Not Property Offences: Correcting a Category Error. Res Publica 22 (2):193-207.
    In March of 2014 Nature Publishing Group, responsible for the publication of journals such as Nature and Scientific American, was subject to criticism for its requirement that contributing authors waive their moral rights in relation to their published articles. Some of the rights included under the umbrella term ‘moral rights’ are the right to have any copies of one’s work reproduced accurately and without alteration; the right to the accurate attribution of one’s work under one’s own name; and the right (...)
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  15.  1
    Shokoofeh Ghorbani, Esfandiar Eslami & Abbas Hasankhani (2009). On the Category of Hyper MV‐Algebras. Mathematical Logic Quarterly 55 (1):21-30.
    In this paper we study the category of hyper MV-algebras and we prove that it has a terminal object and a coequalizer. We show that Jia's construction can be modified to provide a free hyper MV-algebra by a set. We use this to show that in the category of hyper MV-algebras the monomorphisms are exactly the one-to-one homomorphisms.
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  16.  7
    Seremeti Lambrini & Kameas Achilles (2015). Composable Relations Induced in Networks of Aligned Ontologies: A Category Theoretic Approach. Axiomathes 25 (3):285-311.
    A network of aligned ontologies is a distributed system, whose components are interacting and interoperating, the result of this interaction being, either the extension of local assertions, which are valid within each individual ontology, to global assertions holding between remote ontology syntactic entities through a network path, or to local assertions holding between local entities of an ontology, but induced by remote ontologies, through a cycle in the network. The mechanism for achieving this interaction is the composition of relations. In (...)
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  17. J. M. Breutzmann, J. H. Lutz & D. W. Juedes (2004). Baire Category and Nowhere Differentiability for Feasible Functions. Mathematical Logic Quarterly 50 (4):460.
    A notion of resource-bounded Baire category is developed for the class PC[0,1] of all polynomial-time computable real-valued functions on the unit interval. The meager subsets of PC[0,1] are characterized in terms of resource-bounded Banach-Mazur games. This characterization is used to prove that, in the sense of Baire category, almost every function in PC[0,1] is nowhere differentiable. This is a complexity-theoretic extension of the analogous classical result that Banach proved for the class C[0, 1] in 1931.
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  18.  2
    Alessandro Stavru (2014). CORNELLI, G. (2013). In Search of Pythagoreanism. Pythagoreanism as an Historiographical Category, “Studia Praesocratica” 4, de Gruyter, Berlin. [REVIEW] Archai: Revista de Estudos Sobre as Origens Do Pensamento Ocidental 13 (13):171-173.
    CORNELLI, G. (2013). In Search of Pythagoreanism. Pythagoreanism as an Historiographical Category, “Studia Praesocratica” 4, de Gruyter, Berlin.
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  19.  33
    Peter Smith, Category Theory: A Gentle Introduction.
    This Gentle Introduction is very much still work in progress. So far, at least in a rough and ready way, we cover the basic notions of elementary category theory -- explaining the very idea of a category, then treating limits, functors, natural transformations, representables, adjunctions. The long-term plan is to go on to have a chapter on monads, and then move on to say something about categorial logic, explore categories of sets, and edge towards some initial themes in (...)
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  20.  3
    Trevor Stack, Naomi Goldenberg & Timothy Fitzgerald (eds.) (2015). Religion as a Category of Governance and Sovereignty. Brill.
    Religious-secular distinctions have been crucial to the way in which modern governments have rationalised their governance and marked out their sovereignty – as crucial as the territorial boundaries that they have drawn around nations. The authors of this volume provide a multi-dimensional picture of how the category of religion has served the ends of modern government. They draw on perspectives from history, anthropology, moral philosophy, theology and religious studies, as well as empirical analysis of India, Japan, Mexico, the United (...)
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  21.  42
    Ofra Magidor (forthcoming). Category Mistakes and Figurative Language. Philosophical Studies.
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  22.  18
    S. S. Stevens & E. H. Galanter (1957). Ratio Scales and Category Scales for a Dozen Perceptual Continua. Journal of Experimental Psychology 54 (6):377.
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  23.  47
    William F. Battig & William E. Montague (1969). Category Norms of Verbal Items in 56 Categories A Replication and Extension of the Connecticut Category Norms. Journal of Experimental Psychology 80 (3p2):1.
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  24.  5
    Allen Parducci & Linda F. Perrett (1971). Category Rating Scales: Effects of Relative Spacing and Frequency of Stimulus Values. Journal of Experimental Psychology 89 (2):427.
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  25.  37
    Michael Carrithers, Steven Collins & Steven Lukes (eds.) (1985). The Category of the Person: Anthropology, Philosophy, History. Cambridge University Press.
    The concept that peope have of themselves as a 'person' is one of the most intimate notions that they hold. Yet the way in which the category of the person is conceived varies over time and space. In this volume, anthropologists, philosophers, and historians examine the notion of the person in different cultures, past and present. Taking as their starting point a lecture on the person as a category of the human mind, given by Marcel Mauss in 1938, (...)
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  26. Dwight W. Curtis (1970). Magnitude Estimations and Category Judgments of Brightness and Brightness Intervals: A Two-Stage Interpretation. Journal of Experimental Psychology 83 (2p1):201.
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  27. Albert Hofstadter (1951). Professor Ryle's Category-Mistake. Journal of Philosophy 48 (April):257-269.
  28.  2
    Denis Mareschal, Paul C. Quinn & Robert M. French (2002). Asymmetric Interference in 3‐ to 4‐Month‐Olds' Sequential Category Learning. Cognitive Science 26 (3):377-389.
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  29.  7
    Michael D. Lee & Wolf Vanpaemel (2008). Exemplars, Prototypes, Similarities, and Rules in Category Representation: An Example of Hierarchical Bayesian Analysis. Cognitive Science 32 (8):1403-1424.
  30.  1
    Elizabeth F. Loftus (1973). Category Dominance, Instance Dominance, and Categorization Time. Journal of Experimental Psychology 97 (1):70.
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  31.  5
    John Ross & Vincent Di Lollo (1968). Category Scales and Contrast Effects with Lifted Weights. Journal of Experimental Psychology 78 (4p1):547.
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  32.  2
    Kent M. Dallett (1964). Number of Categories and Category Information in Free Recall. Journal of Experimental Psychology 68 (1):1.
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  33.  1
    T. Yamazaki (2000). Some More Conservation Results on the Baire Category Theorem. Mathematical Logic Quarterly 46 (1):105-110.
    In this paper, we generalize a result of Brown and Simpson [1] to prove that RCA0+Π0∞-BCT is conservative over RCA0 with respect to the set of formulae in the form ∃!Xφ, where φ is arithmetical. We also consider the conservation of Π00∞-BCT over Σb1-NIA+∇b1-CA.
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  34.  1
    Eugene Winograd (1968). List Differentiation, Recall, and Category Similarity. Journal of Experimental Psychology 78 (3p1):510.
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  35.  3
    Ethel Weiss (1967). Stimulus Category Cue and List Difficulty as Determinants of the Amount of Transfer. Journal of Experimental Psychology 73 (3):446.
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  36.  3
    Robert L. Hudson (1969). Category Clustering for Immediate and Delayed Recall as a Function of Recall Cue Information and Response Dominance Variability. Journal of Experimental Psychology 82 (3):575.
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  37.  2
    Delos D. Wicken, Sandra E. Clark, Frances A. Hill & Roy P. Wittlinger (1968). Investigation of Grammatical Class as an Encoding Category in Short-Term Memory. Journal of Experimental Psychology 78 (4p1):599.
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  38.  3
    James L. Fozard, Judith R. Myers & Nancy C. Waugh (1971). Recalling Recent Exemplars of a Category. Journal of Experimental Psychology 90 (2):262.
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  39.  1
    Ram G. Chatterjea (1964). Temporal Duration: Ratio Scale and Category Scale. Journal of Experimental Psychology 67 (5):412.
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  40.  2
    Boonie Z. Strand (1970). Retroactive Inhibition in Free Recall Learning: Unlearning or Category Size Or? Journal of Experimental Psychology 83 (2p1):286.
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  41.  2
    Robert L. Hudson & James B. Austin (1970). Effect of Context and Category Name on the Recall of Categorized Word Lists. Journal of Experimental Psychology 86 (1):43.
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  42.  2
    Peder J. Johnson & Thomas C. Toppino (1974). Effects of Category Attention, Relative Frequency of Relevant Values, and Practice on Attribute Identification Performance. Journal of Experimental Psychology 103 (1):160.
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  43.  2
    Marilyn A. Borges & George Mangler (1972). Effect of Within-Category Spacing on Free Recall. Journal of Experimental Psychology 92 (2):207.
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  44.  2
    Jonathan L. Freedman & Elizabeth F. Loftus (1974). Retrieval of Words From Well-Learned Sets: The Effect of Category Size. Journal of Experimental Psychology 102 (6):1085.
  45.  1
    Thomas C. Toppino & Peder J. Johnson (1973). Effects of Category Composition and Response Label on Attribute Identification Concept Performance. Journal of Experimental Psychology 101 (2):289.
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  46.  1
    Thomas C. Toppino & Peder J. Johnson (1974). Interaction of Positive and Negative Labels with Category Composition in Attribute Identification Concept Performance. Journal of Experimental Psychology 102 (6):1035.
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  47.  1
    John J. Shaughnessy (1973). Verbal Discrimination Learning and Two-Category Classification Learning as a Function of List Length and Pronunciation Instructions. Journal of Experimental Psychology 100 (1):202.
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  48. Barry L. Lively & Barry J. Sanford (1972). The Use of Category Information in a Memory-Search Task. Journal of Experimental Psychology 93 (2):379.
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  49.  1
    Kyriakos Kermedis (2003). Some Weak Forms of the Baire Category Theorem. Mathematical Logic Quarterly 49 (4):369.
    We show that the statement “separable, countably compact, regular spaces are Baire” is deducible from a strictly weaker form than AC, namely, CAC . We also find some characterizations of the axiom of dependent choices.
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  50. Isabel M. Birnbaum (1974). Category Similarity and Retroactive Inhibition in Free Recall. Journal of Experimental Psychology 102 (6):1147.
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