Search results for 'universal generalization' (try it on Scholar)

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  1. Carlo Cellucci (2009). The Universal Generalization Problem. Logique Et Analyse 52.
    The universal generalization problem is the question: What entitles one to conclude that a property established for an individual object holds for any individual object in the domain? This amounts to the question: Why is the rule of universal generalization justified? In the modern and contemporary age Descartes, Locke, Berkeley, Hume, Kant, Mill, Gentzen gave alternative solutions of the universal generalization problem. In this paper I consider Locke’s, Berkeley’s and Gentzen’s solutions and argue that (...)
     
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  2.  7
    Nick Chater, Paul M. B. Vitányi & Neil Stewart (2001). Universal Generalization and Universal Inter-Item Confusability. Behavioral and Brain Sciences 24 (4):659-660.
    We argue that confusability between items should be distinguished from generalization between items. Shepard's data concern confusability, but the theories proposed by Shepard and by Tenenbaum & Griffiths concern generalization, indicating a gap between theory and data. We consider the empirical and theoretical work involved in bridging this gap. [Shepard; Tenenbaum & Griffiths].
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  3.  16
    Theo A. F. Kuipers (1978). On the Generalization of the Continuum of Inductive Methods to Universal Hypotheses. Synthese 37 (3):255 - 284.
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  4.  40
    Roger N. Shepard (2001). Perceptual-Cognitive Universals as Reflections of the World. Behavioral and Brain Sciences 24 (4):581-601.
    The universality, invariance, and elegance of principles governing the universe may be reflected in principles of the minds that have evolved in that universe – provided that the mental principles are formulated with respect to the abstract spaces appropriate for the representation of biologically significant objects and their properties. (1) Positions and motions of objects conserve their shapes in the geometrically fullest and simplest way when represented as points and connecting geodesic paths in the six-dimensional manifold jointly determined by the (...)
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  5. Sinan Dogramaci (2010). Knowledge of Validity. Noûs 44 (3):403-432.
    What accounts for how we know that certain rules of reasoning, such as reasoning by Modus Ponens, are valid? If our knowledge of validity must be based on some reasoning, then we seem to be committed to the legitimacy of rule-circular arguments for validity. This paper raises a new difficulty for the rule-circular account of our knowledge of validity. The source of the problem is that, contrary to traditional wisdom, a universal generalization cannot be inferred just on the (...)
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  6.  5
    Nick Chater & Gordon D. A. Brown (2008). From Universal Laws of Cognition to Specific Cognitive Models. Cognitive Science 32 (1):36-67.
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  7.  23
    Joshua B. Tenenbaum & Thomas L. Griffiths (2001). Generalization, Similarity, and Bayesian Inference. Behavioral and Brain Sciences 24 (4):629-640.
    Shepard has argued that a universal law should govern generalization across different domains of perception and cognition, as well as across organisms from different species or even different planets. Starting with some basic assumptions about natural kinds, he derived an exponential decay function as the form of the universal generalization gradient, which accords strikingly well with a wide range of empirical data. However, his original formulation applied only to the ideal case of generalization from a (...)
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  8.  4
    Eliseo Fernández (2015). Evolution of Signs, Organisms and Artifacts as Phases of Concrete Generalization. Biosemiotics 8 (1):91-102.
    Expanding on the results of previous contributions I advance several hypotheses on the interaction of physical and semiotic processes, both in organisms and in human artifacts. I then proceed to employ these ideas to formulate a general account of evolutionary processes in terms of concrete generalization, where, in analogy with conceptual generalization, novel creations retain antecedent features as special or restricted cases. I argue the following theses: 1) the main point of intersection of physical and semiotic causation is (...)
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  9.  26
    Brian R. Gaines (2010). Human Rationality Challenges Universal Logic. Logica Universalis 4 (2):163-205.
    Tarski’s conceptual analysis of the notion of logical consequence is one of the pinnacles of the process of defining the metamathematical foundations of mathematics in the tradition of his predecessors Euclid, Frege, Russell and Hilbert, and his contemporaries Carnap, Gödel, Gentzen and Turing. However, he also notes that in defining the concept of consequence “efforts were made to adhere to the common usage of the language of every day life.” This paper addresses the issue of what relationship Tarski’s analysis, and (...)
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  10. Alice Drewery (2005). The Logical Form of Universal Generalizations. Australasian Journal of Philosophy 83 (3):373 – 393.
    First order logic does not distinguish between different forms of universal generalization; in this paper I argue that lawlike and accidental generalizations (broadly construed) have a different logical form, and that this distinction is syntactically marked in English. I then consider the relevance of this broader conception of lawlikeness to the philosophy of science.
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  11.  14
    Douglas Walton (1999). Rethinking the Fallacy of Hasty Generalization. Argumentation 13 (2):161-182.
    This paper makes a case for a refined look at the so- called ‘fallacy of hasty generalization’ by arguing that this expression is an umbrella term for two fallacies already distinguished by Aristotle. One is the fallacy of generalizing in an inappropriate way from a particular instance to a universal generalization containing a ‘for all x’ quantification. The other is the secundum quid (‘in a certain respect’) fallacy of moving to a conclusion that is supposed to be a (...)
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  12. Hugues Leblanc (1979). Generalization in First-Order Logic. Notre Dame Journal of Formal Logic 20 (4):835-857.
    DEALING INITIALLY WITH QC, THE STANDARD QUANTIFICATIONAL CALCULUS OF ORDER ONE, THE AUTHOR COMMENTS ON A SHORTCOMING, REPORTED IN 1956 BY MONTAGUE AND HENKIN, IN CHURCH'S ACCOUNT OF A PROOF FROM HYPOTHESES, AND SKETCHES THREE WAYS OF RIGHTING THINGS. THE THIRD, WHICH EXPLOITS A TRICK OF FITCH'S, IS THE SIMPLEST OF THE THREE. THE AUTHOR INVESTIGATES IT SOME, SUPPLYING FRESH PROOF OF UGT, THE UNIVERSAL GENERALIZATION THEOREM. THE PROOF HOLDS GOOD AS ONE PASSES FROM QC TO QC asterisk (...)
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  13.  64
    C. Kenneth Waters (1998). Causal Regularities in the Biological World of Contingent Distributions. Biology and Philosophy 13 (1):5-36.
    Former discussions of biological generalizations have focused on the question of whether there are universal laws of biology. These discussions typically analyzed generalizations out of their investigative and explanatory contexts and concluded that whatever biological generalizations are, they are not universal laws. The aim of this paper is to explain what biological generalizations are by shifting attention towards the contexts in which they are drawn. I argue that within the context of any particular biological explanation or investigation, biologists (...)
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  14.  11
    James Bradley (2002). The Speculative Generalization of the Function: A Key to Whitehead. Tijdschrift Voor Filosofie 64 (2):253 - 271.
    In Process and Reality (1929) and subsequent writings, A.N. Whitehead builds on the success of the Frege-Russell generalization of the mathematical function and develops his philosophy on that basis. He holds that the proper generalization of the meaning of the function shows that it is primarily to be defined in terms of many-to-one mapping activity, which he terms 'creativity'. This allows him to generalize the range of the function, so that it constitutes a universal ontology of construction (...)
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  15.  35
    Christopher Gauker (1997). Universal Instantiation: A Study of the Role of Context in Logic. [REVIEW] Erkenntnis 46 (2):185-214.
    The rule of universal instantiation appears to be subject to counterexamples, although the rule of existential generalization is not subject to the same doubts. This paper is a survey of ways of responding to this problem, both conservative and revisionist. The conclusion drawn is that logical validity should be defined in terms of assertibility in a context rather than in terms of truth on an interpretation. Contexts are here defined, not in terms of the attitudes of the interlocutors, (...)
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  16.  28
    Shimon Edelman, Generalization to Novel Images in Upright and Inverted Faces.
    An image of a face depends not only on its shape, but also on the viewpoint, illumination conditions, and facial expression. A face recognition system must overcome the changes in face appearance induced by these factors. This paper investigate two related questions: the capacity of the human visual system to generalize the recognition of faces to novel images, and the level at which this generalization occurs. We approach this problems by comparing the identi cation and generalization capacity for (...)
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  17.  4
    Djordje Čubrić (1997). On the Semantics of the Universal Quantifier. Annals of Pure and Applied Logic 87 (3):209-239.
    We investigate the universal fragment of intuitionistic logic focussing on equality of proofs. We give categorical models for that and prove several completeness results. One of them is a generalization of the well known Yoneda lemma and the other is an extension of Harvey Friedman's completeness result for typed lambda calculus.
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  18.  1
    Aarne Ranta (1995). Type-Theoretical Interpretation and Generalization of Phrase Structure Grammar. Logic Journal of the IGPL 3 (2-3):319-342.
    In this paper, we shall present a generalization of phrase structure grammar, in which all functional categories have type restrictions, that is, their argument types are specific domains. In ordinary phrase structure grammar, there is just one universal domain of individuals. The grammar does not make a distinction between verbs and adjectives in terms of domains of applicability. Consequently, it fails to distinguish between sentences like every line intersects every line, which is well typed, and every line intersects (...)
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  19. Dinah Baer‐Henney, Frank Kügler & Ruben Vijver (2015). The Interaction of Language‐Specific and Universal Factors During the Acquisition of Morphophonemic Alternations With Exceptions. Cognitive Science 39 (7):1537-1569.
    Using the artificial language paradigm, we studied the acquisition of morphophonemic alternations with exceptions by 160 German adult learners. We tested the acquisition of two types of alternations in two regularity conditions while additionally varying length of training. In the first alternation, a vowel harmony, backness of the stem vowel determines backness of the suffix. This process is grounded in substance, and this universal phonetic factor bolsters learning a generalization. In the second alternation, tenseness of the stem vowel (...)
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  20.  4
    Jens Gillessen (2014). Was, wenn jeder...? Ethische Verallgemeinerung seit Kant. Eine Kritik. Verlag Karl Alber.
    Occasionally, moral critique is put forward by asking: What if everyone acted the way you do? Such criticism seems to be grounded in some form of moral reasoning, which has in the past been the aim of various efforts of clarification, refutation and defense, in the guise of interpretations of Kant's Categorical Imperative as well as in Analytic Ethics. The book forms the first monographic attempt since decades to establish systematic order among contributions to the field. It examines a wide (...)
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  21.  7
    Morgan Thomas (2015). A Generalization of the Routley-Meyer Semantic Framework. Journal of Philosophical Logic 44 (4):411-427.
    We develop an axiomatic theory of “generalized Routley-Meyer logics.” These are first-order logics which are can be characterized by model theories in a certain generalization of Routley-Meyer semantics. We show that all GRM logics are subclassical, have recursively enumerable consequence relations, satisfy the compactness theorem, and satisfy the standard structural rules and conjunction and disjunction introduction/elimination rules. We also show that the GRM logics include classical logic, intuitionistic logic, LP/K3/FDE, and the relevant logics.
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  22.  34
    Stephen H. Phillips (2002). Does Classicism Explain Universality? Minds and Machines 12 (3):423-434.
    One of the hallmarks of human cognition is the capacity to generalize over arbitrary constituents. Recently, Marcus (1998, 1998a, b; Cognition 66, p. 153; Cognitive Psychology 37, p. 243) argued that this capacity, called universal generalization (universality), is not supported by Connectionist models. Instead, universality is best explained by Classical symbol systems, with Connectionism as its implementation. Here it is argued that universality is also a problem for Classicism in that the syntax-sensitive rules that are supposed to provide (...)
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  23.  11
    Marion Smiley (1993). Feminist Theory and the Question of Identity. Women and Politics 13 (2):91-122.
    This article reflects upon what can go wrong when feminist philosophers begin with a universal identity, rather than with the needs of particular individuals, and argues that we can group individuals together without such a universal identity if we develop a practice of social generalization that places shared needs, rather than identities, at the center of attention.
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  24.  2
    Kyungil Kim & Youngjun Park (2011). Cultural and Individual Differences in the Generalization of Theories Regarding Human Thinking. Behavioral and Brain Sciences 34 (5):259-260.
    Tests of a universal theory often find significant variability and individual differences between cultures. We propose that descriptivism research should focus more on cultural and individual differences, especially those based on motivational factors. Explaining human thinking by focusing on individual difference factors across cultures could provide a parsimonious paradigm, by uncovering the true causal mechanisms of psychological processes.
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  25.  9
    Tomasz Furmanowski (1983). The Logic of Algebraic Rules as a Generalization of Equational Logic. Studia Logica 42 (2-3):251 - 257.
    In this paper we start an investigation of a logic called the logic of algebraic rules. The relation of derivability of this logic is defined on universal closures of special disjunctions of equations extending the relation of derivability of the usual equational logic. The paper contains some simple theorems and examples given in justification for the introduction of our logic. A number of open questions is posed.
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  26.  91
    R. Sorensen (2012). The Sorites and the Generic Overgeneralization Effect. Analysis 72 (3):444-449.
    Sorites arguments employ an induction step such as ‘Small numbers have small successors’. People deduce that there must be an exception to the generalization but are reluctant to conclude that the generalization is false. My hypothesis is that the reluctance is due to the "Generic Overgeneralization Effect". Although the propounder of the sorites paradox intends the induction step to be a universal generalization, hearers assimilate universal generalizations to generic generalizations (for instance, ‘All birds fly’ tends (...)
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  27.  18
    Raul Hakli & Sara Negri (2012). Does the Deduction Theorem Fail for Modal Logic? Synthese 187 (3):849-867.
    Various sources in the literature claim that the deduction theorem does not hold for normal modal or epistemic logic, whereas others present versions of the deduction theorem for several normal modal systems. It is shown here that the apparent problem arises from an objectionable notion of derivability from assumptions in an axiomatic system. When a traditional Hilbert-type system of axiomatic logic is generalized into a system for derivations from assumptions, the necessitation rule has to be modified in a way that (...)
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  28. Alexander Bird (2002). Laws and Criteria. Canadian Journal of Philosophy 32 (4):511-42.
    Debates concerning the analysis of the concept of law of nature must address the following problem. On the one hand, our grasp of laws of nature is via our knowledge of their instances. And this seems not only an epistemological truth but also a semantic one. The concept of a law of nature must be explicated in terms of the things that instantiate the law. It is not simply that a piece of metal that conducts electricity is evidence for a (...)
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  29. Richard Holton (2010). The Exception Proves the Rule. Journal of Political Philosophy 18 (4):369-388.
    When faced with a rule that they take to be true, and a recalcitrant example, people are apt to say: “The exception proves the rule”. When pressed on what they mean by this though, things are often less than clear. A common response is to dredge up some once-heard etymology: ‘proves’ here, it is often said, means ‘tests’. But this response—its frequent appearance even in some reference works notwithstanding1—makes no sense of the way in which the expression is used. To (...)
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  30. Phil Corkum, Aristotle on Logical Consequence.
    Compare two conceptions of validity: under an example of a modal conception, an argument is valid just in case it is impossible for the premises to be true and the conclusion false; under an example of a topic-neutral conception, an argument is valid just in case there are no arguments of the same logical form with true premises and a false conclusion. This taxonomy of positions suggests a project in the philosophy of logic: the reductive analysis of the modal conception (...)
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  31.  89
    Robin Smith (1982). What Is Aristotelian Ecthesis? History and Philosophy of Logic 3 (2):113-127.
    I consider the proper interpretation of the process of ecthesis which Aristotle uses several times in the Prior analytics for completing a syllogistic mood, i.e., showing how to produce a deduction of a conclusion of a certain form from premisses of certain forms. I consider two interpretations of the process which have been advocated by recent scholars and show that one seems better suited to most passages while the other best fits a single remaining passage. I also argue that ecthesis (...)
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  32.  26
    Henry E. Kyburg Jr (1985). The Confirmation of Quantitative Laws. Philosophy of Science 52 (1):1-22.
    Quantitative laws are more typical of science than are generalizations involving observational predicates, yet much discussion of scientific inference takes the confirmation of a universal generalization by its instances to be typical and paradigmatic. The important difference is that measurement necessarily involves error. It is argued that because of error laws can no more be refuted by observation than they can be verified by observation. Without much background knowledge, tests of a law mainly provide evidence for the distribution (...)
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  33.  20
    Stephen Pollard (2007). Mathematical Determinacy and the Transferability of Aboutness. Synthese 159 (1):83-98.
    Competent speakers of natural languages can borrow reference from one another. You can arrange for your utterances of ‘Kirksville’ to refer to the same thing as my utterances of ‘Kirksville’. We can then talk about the same thing when we discuss Kirksville. In cases like this, you borrow “ aboutness ” from me by borrowing reference. Now suppose I wish to initiate a line of reasoning applicable to any prime number. I might signal my intention by saying, “Let p be (...)
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  34. Daryl Close (2015). Teaching the PARC System of Natural Deduction. American Association of Philosophy Teachers Studies in Pedagogy 1:201-218.
    PARC is an "appended numeral" system of natural deduction that I learned as an undergraduate and have taught for many years. Despite its considerable pedagogical strengths, PARC appears to have never been published. The system features explicit "tracking" of premises and assumptions throughout a derivation, the collapsing of indirect proofs into conditional proofs, and a very simple set of quantificational rules without the long list of exceptions that bedevil students learning existential instantiation and universal generalization. The system can (...)
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  35.  28
    Emiliano Ippoliti, Carlo Cellucci & Emily Grosholz (eds.) (2011). Logic and Knowlegde. Cambridge Scholar Publishing.
    Logic and Knowledge -/- Editor: Carlo Cellucci, Emily Grosholz and Emiliano Ippoliti Date Of Publication: Aug 2011 Isbn13: 978-1-4438-3008-9 Isbn: 1-4438-3008-9 -/- The problematic relation between logic and knowledge has given rise to some of the most important works in the history of philosophy, from Books VI–VII of Plato’s Republic and Aristotle’s Prior and Posterior Analytics, to Kant’s Critique of Pure Reason and Mill’s A System of Logic, Ratiocinative and Inductive. It provides the title of an important collection of papers (...)
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  36.  33
    Patrick Suppes (1964). First Course in Mathematical Logic. Dover Publications.
    This introduction to rigorous mathematical logic is simple enough in both presentation and context for students of a wide range of ages and abilities. Starting with symbolizing sentences and sentential connectives, it proceeds to the rules of logical inference and sentential derivation, examines the concepts of truth and validity, and presents a series of truth tables. Subsequent topics include terms, predicates, and universal quantifiers; universal specification and laws of identity; axioms for addition; and universal generalization. Throughout (...)
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  37.  87
    Nicholas Evans & Stephen C. Levinson (2009). The Myth of Language Universals: Language Diversity and its Importance for Cognitive Science. Behavioral and Brain Sciences 32 (5):429-448.
    Talk of linguistic universals has given cognitive scientists the impression that languages are all built to a common pattern. In fact, there are vanishingly few universals of language in the direct sense that all languages exhibit them. Instead, diversity can be found at almost every level of linguistic organization. This fundamentally changes the object of enquiry from a cognitive science perspective. This target article summarizes decades of cross-linguistic work by typologists and descriptive linguists, showing just how few and unprofound the (...)
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  38. D. M. Armstrong (1989). Universals: An Opinionated Introduction. Westview Press.
    In this short text, a distinguished philosopher turns his attention to one of the oldest and most fundamental philosophical problems of all: How it is that we are able to sort and classify different things as being of the same natural class? Professor Armstrong carefully sets out six major theories—ancient, modern, and contemporary—and assesses the strengths and weaknesses of each. Recognizing that there are no final victories or defeats in metaphysics, Armstrong nonetheless defends a traditional account of universals as the (...)
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  39.  78
    Charlotte Baumann (forthcoming). Hegel and Marx on Individuality and the Universal Good. Hegel Bulletin.
    Picking up on Marx’s and Hegel’s analyses of human beings as social and individual, the article shows that what is at stake is not merely the possibility of individuality, but also the correct conception of the universal good. Both Marx and Hegel suppose that individuals must be social or political as individuals, which means, at least in Hegel’s case, that particular interests must form part of the universal good. The good and the rational cannot be something beside individuals (...)
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  40.  72
    Evan Fales (1990). Causation and Universals. Routledge.
    Then, adopting the view of Armstrong and others that causation is grounded in a second-order relation between universals, he explores a range of topics for ...
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  41. Paul Gould (2012). The Problem of Universals, Realism, and God. Metaphysica 13 (2):183-194.
    There has been much discussion of late on what exactly the Problem of Universals is and is not. Of course answers to these questions and many more like it depend on what is supposed to be explained by a solution to the Problem of Universals. In this paper, I seek to establish two claims: first, that when the facts (explanada) to be explained and the kind of explanation needed are elucidated, it will be shown that the Problem of Universals is (...)
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  42. Mark S. Schwartz (2005). Universal Moral Values for Corporate Codes of Ethics. Journal of Business Ethics 59 (1-2):27 - 44.
    How can one establish if a corporate code of ethics is ethical in terms of its content? One important first step might be the establishment of core universal moral values by which corporate codes of ethics can be ethically constructed and evaluated. Following a review of normative research on corporate codes of ethics, a set of universal moral values is generated by considering three sources: (1) corporate codes of ethics; (2) global codes of ethics; and (3) the business (...)
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  43.  33
    D. M. Armstrong (1978). Universals and Scientific Realism. Cambridge University Press.
    v. 1. Nominalism and realism.--v. 2. A theory of universals.
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  44.  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 from (...)
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  45. Chad Carmichael (2010). Universals. Philosophical Studies 150 (3):373-389.
    In this paper, I argue that there are universals. I begin (Sect. 1) by proposing a sufficient condition for a thing’s being a universal. I then argue (Sect. 2) that some truths exist necessarily. Finally, I argue (Sects. 3 and 4) that these truths are structured entities having constituents that meet the proposed sufficient condition for being universals.
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  46. David Lewis (1983). New Work for a Theory of Universals. Australasian Journal of Philosophy 61 (December):343-377.
  47. Menachem Kojman & Saharon Shelah (1992). Nonexistence of Universal Orders in Many Cardinals. Journal of Symbolic Logic 57 (3):875-891.
    Our theme is that not every interesting question in set theory is independent of ZFC. We give an example of a first order theory T with countable D(T) which cannot have a universal model at ℵ1 without CH; we prove in ZFC a covering theorem from the hypothesis of the existence of a universal model for some theory; and we prove--again in ZFC--that for a large class of cardinals there is no universal linear order (e.g. in every (...)
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  48.  39
    Antti Keskinen, Jani Hakkarainen & Markku Keinänen (2015). Concrete Universals and Spatial Relations. European Journal of Analytic Philosophy 11 (1):57-71.
    According to strong immanent realism, proposed for instance by David M. Armstrong, universals are concrete, located in their instances. E.J. Lowe and Douglas Ehring have presented arguments to the effect that strong immanent realism is incoherent. Cody Gilmore has defended strong immanent realism against the charge of incoherence. Gilmore’s argument has thus far remained unanswered. We argue that Gilmore’s response to the charge of incoherence is an ad hoc move without support independent of strong immanent realism itself. We conclude that (...)
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  49. Scott Atran (1998). Folk Biology and the Anthropology of Science: Cognitive Universals and Cultural Particulars. Behavioral and Brain Sciences 21 (4):547-569.
    This essay in the is about how cognition constrains culture in producing science. The example is folk biology, whose cultural recurrence issues from the very same domain-specific cognitive universals that provide the historical backbone of systematic biology. Humans everywhere think about plants and animals in highly structured ways. People have similar folk-biological taxonomies composed of essence-based, species-like groups and the ranking of species into lower- and higher-order groups. Such taxonomies are not as arbitrary in structure and content, nor as variable (...)
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  50. Paola Cantù (2010). Grassmann’s Epistemology: Multiplication and Constructivism. In Hans-Joachim Petsche (ed.), From Past to Future: Graßmann's Work in Context.
    The paper aims to establish if Grassmann’s notion of an extensive form involved an epistemological change in the understanding of geometry and of mathematical knowledge. Firstly, it will examine if an ontological shift in geometry is determined by the vectorial representation of extended magnitudes. Giving up homogeneity, and considering geometry as an application of extension theory, Grassmann developed a different notion of a geometrical object, based on abstract constraints concerning the construction of forms rather than on the homogeneity conditions required (...)
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