Results for 'Jerrell C. Cassady'

966 found
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  1. Conditions of personhood.Daniel C. Dennett - 1976 - In Amélie Rorty (ed.), The Identities of Persons. University of California Press.
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  2. True believers : The intentional strategy and why it works.Daniel C. Dennett - 1981 - In Anthony Francis Heath (ed.), Scientific explanation: papers based on Herbert Spencer lectures given in the University of Oxford. Oxford: Clarendon Press. pp. 150--167.
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  3. "That's Above My Paygrade": Woke Excuses for Ignorance.Emily C. R. Tilton - 2024 - Philosophers' Imprint 24 (1).
    Standpoint theorists have long been clear that marginalization does not make better understanding a given. They have been less clear, though, that social dominance does not make ignorance a given. Indeed, many standpoint theorists have implicitly committed themselves to what I call the strong epistemic disadvantage thesis. According to this thesis, there are strong, substantive limits on what the socially dominant can know about oppression that they do not personally experience. I argue that this thesis is not just implausible but (...)
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  4. Fiat and Bona Fide Boundaries.Barry Smith & Achille C. Varzi - 2000 - Philosophy and Phenomenological Research 60 (2):401-420.
    There is a basic distinction, in the realm of spatial boundaries, between bona fide boundaries on the one hand, and fiat boundaries on the other. The former are just the physical boundaries of old. The latter are exemplified especially by boundaries induced through human demarcation, for example in the geographic domain. The classical problems connected with the notions of adjacency, contact, separation and division can be resolved in an intuitive way by recognizing this two-sorted ontology of boundaries. Bona fide boundaries (...)
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  5. Algorithmic Fairness from a Non-ideal Perspective.Sina Fazelpour & Zachary C. Lipton - 2020 - Proceedings of the AAAI/ACM Conference on AI, Ethics, and Society.
    Inspired by recent breakthroughs in predictive modeling, practitioners in both industry and government have turned to machine learning with hopes of operationalizing predictions to drive automated decisions. Unfortunately, many social desiderata concerning consequential decisions, such as justice or fairness, have no natural formulation within a purely predictive framework. In efforts to mitigate these problems, researchers have proposed a variety of metrics for quantifying deviations from various statistical parities that we might expect to observe in a fair world and offered a (...)
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  6. Inexplicit information.Robert C. Cummins - 1986 - In Myles Brand (ed.), The Representation Of Knowledge And Belief. Tucson: University Of Arizona Press.
    A discussion of a number of ways that information can be present in a computer program without being explicitly represented.
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  7. Parts, Wholes, and Part-Whole Relations: The Prospects of Mereotopology.Achille C. Varzi - 1996 - Data and Knowledge Engineering 20:259–286.
    We can see mereology as a theory of parthood and topology as a theory of wholeness. How can these be combined to obtain a unified theory of parts and wholes? This paper examines various non-equivalent ways of pursuing this task, with specific reference to its relevance to spatio-temporal reasoning. In particular, three main strategies are compared: (i) mereology and topology as two independent (though mutually related) chapters; (ii) mereology as a general theory subsuming topology; (iii) topology as a general theory (...)
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  8. The phenomenal content of experience.Athanassios Raftopoulos & Vincent C. Müller - 2006 - Mind and Language 21 (2):187-219.
    We discuss at some length evidence from the cognitive science suggesting that the representations of objects based on spatiotemporal information and featural information retrieved bottomup from a visual scene precede representations of objects that include conceptual information. We argue that a distinction can be drawn between representations with conceptual and nonconceptual content. The distinction is based on perceptual mechanisms that retrieve information in conceptually unmediated ways. The representational contents of the states induced by these mechanisms that are available to a (...)
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  9. The niche.Barry Smith & Achille C. Varzi - 1999 - Noûs 33 (2):214-238.
    The concept of niche (setting, context, habitat, environment) has been little studied by ontologists, in spite of its wide application in a variety of disciplines from evolutionary biology to economics. What follows is a first formal theory of this concept, a theory of the relations between objects and their niches. The theory builds upon existing work on mereology, topology, and the theory of spatial location as tools of formal ontology. It will be illustrated above all by means of simple biological (...)
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  10. “They Did Not Walk the Green Talk!:” How Information Specificity Influences Consumer Evaluations of Disconfirmed Environmental Claims.Davide C. Orazi & Eugene Y. Chan - 2020 - Journal of Business Ethics 163 (1):107-123.
    While environmental claims are increasingly used by companies to appeal consumers, they also attract greater scrutiny from independent parties interested in consumer protection. Consumers are now able to compare corporate environmental claims against external, often disconfirming, information to form their brand attitudes and purchase intentions. What remains unclear is how the level of information specificity of both the environmental claims and external disconfirming information interact to influence consumer reactions. Two experiments address this gap in the CSR communication literature. When specific (...)
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  11. Boundaries, continuity, and contact.Achille C. Varzi - 1997 - Noûs 31 (1):26-58.
    There are conflicting intuitions concerning the status of a boundary separating two adjacent entities (or two parts of the same entity). The boundary cannot belong to both things, for adjacency excludes overlap; and it cannot belong to neither, for nothing lies between two adjacent things. Yet how can the dilemma be avoided without assigning the boundary to one thing or the other at random? Some philosophers regard this as a reductio of the very notion of a boundary, which should accordingly (...)
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  12. Neutral Monism Reconsidered.Erik C. Banks - 2010 - Philosophical Psychology 23 (2):173-187.
    Neutral monism is a position in metaphysics defended by Mach, James, and Russell in the early twentieth century. It holds that minds and physical objects are essentially two different orderings of the same underlying neutral elements of nature. This paper sets out some of the central concepts, theses and the historical background of ideas that inform this doctrine of elements. The discussion begins with the classic neutral monism of Mach, James, and Russell in the first part of the paper, then (...)
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  13. Vagueness in Geography.Achille C. Varzi - 2001 - Philosophy and Geography 4 (1):49–65.
    Some have argued that the vagueness exhibited by geographic names and descriptions such as ‘Albuquerque’, ‘the Outback’, or ‘Mount Everest’ is ultimately ontological: these terms are vague because they refer to vague objects, objects with fuzzy boundaries. I take the opposite stand and hold the view that geographic vagueness is exclusively semantic, or conceptual at large. There is no such thing as a vague mountain. Rather, there are many things where we conceive a mountain to be, each with its precise (...)
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  14. Can we learn from hidden mistakes? Self-fulfilling prophecy and responsible neuroprognostic innovation.Mayli Mertens, Owen C. King, Michel J. A. M. van Putten & Marianne Boenink - 2021 - Journal of Medical Ethics 48 (11):922-928.
    A self-fulfilling prophecy in neuroprognostication occurs when a patient in coma is predicted to have a poor outcome, and life-sustaining treatment is withdrawn on the basis of that prediction, thus directly bringing about a poor outcome for that patient. In contrast to the predominant emphasis in the bioethics literature, we look beyond the moral issues raised by the possibility that an erroneous prediction might lead to the death of a patient who otherwise would have lived. Instead, we focus on the (...)
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  15. A Framework for Analyzing Broadly Engaged Philosophy of Science.Kathryn S. Plaisance & Kevin C. Elliott - 2021 - Philosophy of Science 88 (4):594-615.
    Philosophers of science are increasingly interested in engaging with scientific communities, policy makers, and members of the public; however, the nature of this engagement has not been systematically examined. Instead of delineating a specific kind of engaged philosophy of science, as previous accounts have done, this article draws on literature from outside the discipline to develop a framework for analyzing different forms of broadly engaged philosophy of science according to two key dimensions: social interaction and epistemic integration. Clarifying the many (...)
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  16. Boundaries, Conventions, and Realism.Achille C. Varzi - 2011 - In Joseph Keim Campbell, Michael O'Rourke & Matthew H. Slater (eds.), Carving nature at its joints: natural kinds in metaphysics and science. Cambridge, MA, USA: MIT Press. pp. 129–153.
    Are there any bona fide boundaries, i.e., boundaries that carve at the joints? Or is any boundary —hence any object—the result of a fiat articulation reflecting our cognitive biases and our so-cial practices and conventions? Does the choice between these two options amount to a choice between realism and wholesome relativism?
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  17. Hypothetical motivation.Donald C. Hubin - 1996 - Noûs 30 (1):31-54.
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  18. What’s Special about Humeanism.Donald C. Hubin - 1999 - Noûs 33 (1):30-45.
    One of the attractions of the Humean instrumentalist theory of practical rationality is that it appears to offer a special connection between an agent's reasons and her motivation. The assumption that Humeanism is able to assert a strong connection between reason and motivation has been challenged, most notably by Christine Korsgaard. She argues that Humeanism is not special in the connection it allows to motivation. On the contrary, Humean theories of practical rationality do connect reasons and motivation in a unique (...)
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  19. Irrational desires.Donald C. Hubin - 1991 - Philosophical Studies 62 (1):23 - 44.
    Many believe that the rational evaluation of actions depends on the rational evaluation of even basic desires. Hume, though, viewed desires as "original existences" which cannot be contrary to either truth or reason. Contemporary critics of Hume, including Norman, Brandt and Parfit, have sought a basis for the rational evaluation of desires that would deny some basic desires reason-giving force. I side with Hume against these modern critics. Hume's concept of rational evaluation is admittedly too narrow; even basic desires are, (...)
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  20. Stage One of the Aristotelian Proof: A Critical Appraisal.Joseph C. Schmid - 2021 - Sophia 60 (4):781-796.
    What explains change? Edward Feser argues in his ‘Aristotelian proof’ that the only adequate answer to these questions is ultimately in terms of an unchangeable, purely actual being. In this paper, I target the cogency of Feser’s reasoning to such an answer. In particular, I present novel paths of criticism—both undercutting and rebutting—against one of Feser’s central premises. I then argue that Feser’s inference that the unactualized actualizer lacks any potentialities contains a number of non-sequiturs.
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  21. A Note on the Transitivity of Parthood.Achille C. Varzi - 2006 - Applied ontology 1 (2):141-146.
    That parthood is a transitive relation is among the most basic principles of classical mereology. Alas, it is also very controversial. In a recent paper, Ingvar Johansson has put forward a novel diagnosis of the problem, along with a corresponding solution. The diagnosis is on the right track, I argue, but the solution is misleading. And once the pieces are properly put together, we end up with a reinforcement of the standard defense of transitivity on behalf of classical mereology.
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  22. Explanation and Cognition.Frank C. Keil & Robert Andrew Wilson - 2000 - MIT Press. Edited by Frank C. Keil & Robert A. Wilson.
    These essays draw on work in the history and philosophy of science, the philosophy of mind and language, the development of concepts in children, conceptual..
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  23. Introduction.Robert C. Koons & George Bealer - 2010 - In Robert C. Koons & George Bealer (eds.), The waning of materialism. New York: Oxford University Press.
    In this introduction, before summarizing the contents of the volume, the authors characterize materialism as it is understood within the philosophy of mind, and they identify three respects in which materialism is on the wane.
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  24. On Social Defeat.B. J. C. Madison - 2020 - Canadian Journal of Philosophy 50 (6):719-734.
    Influential cases have been provided that seem to suggest that one can fail to have knowledge because of the social environment. If not a distinct kind of social defeater, is there a uniquely social phenomenon that defeats knowledge? My aim in this paper is to explore these questions. I shall argue that despite initial appearances to the contrary, we have no reason to accept a special class of social defeater, nor any essentially social defeat phenomenon. We can explain putative cases (...)
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  25. You can’t always get what you want: Some considerations regarding conditional probabilities.Wayne C. Myrvold - 2015 - Erkenntnis 80 (3):573-603.
    The standard treatment of conditional probability leaves conditional probability undefined when the conditioning proposition has zero probability. Nonetheless, some find the option of extending the scope of conditional probability to include zero-probability conditions attractive or even compelling. This article reviews some of the pitfalls associated with this move, and concludes that, for the most part, probabilities conditional on zero-probability propositions are more trouble than they are worth.
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  26. Hormone replacement therapy: informed consent without assessment?Toni C. Saad, Bruce Philip Blackshaw & Daniel Rodger - 2019 - Journal of Medical Ethics 45 (12):1-2.
    Florence Ashley has argued that requiring patients with gender dysphoria to undergo an assessment and referral from a mental health professional before undergoing hormone replacement therapy (HRT) is unethical and may represent an unconscious hostility towards transgender people. We respond, first, by showing that Ashley has conflated the self-reporting of symptoms with self-diagnosis, and that this is not consistent with the standard model of informed consent to medical treatment. Second, we note that the model of informed consent involved in cosmetic (...)
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  27. Bayes, predictive processing, and the cognitive architecture of motor control.Daniel C. Burnston - 2021 - Consciousness and Cognition 96 (C):103218.
    Despite their popularity, relatively scant attention has been paid to the upshot of Bayesian and predictive processing models of cognition for views of overall cognitive architecture. Many of these models are hierarchical ; they posit generative models at multiple distinct "levels," whose job is to predict the consequences of sensory input at lower levels. I articulate one possible position that could be implied by these models, namely, that there is a continuous hierarchy of perception, cognition, and action control comprising levels (...)
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  28. Is there a future for AI without representation?Vincent C. Müller - 2007 - Minds and Machines 17 (1):101-115.
    This paper investigates the prospects of Rodney Brooks’ proposal for AI without representation. It turns out that the supposedly characteristic features of “new AI” (embodiment, situatedness, absence of reasoning, and absence of representation) are all present in conventional systems: “New AI” is just like old AI. Brooks proposal boils down to the architectural rejection of central control in intelligent agents—Which, however, turns out to be crucial. Some of more recent cognitive science suggests that we might do well to dispose of (...)
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  29. Models and minds.Stuart C. Shapiro & William J. Rapaport - 1991 - In Robert C. Cummins (ed.), Philosophy and AI: Essays at the Interface. Cambridge: MIT Press. pp. 215--259.
    Cognitive agents, whether human or computer, that engage in natural-language discourse and that have beliefs about the beliefs of other cognitive agents must be able to represent objects the way they believe them to be and the way they believe others believe them to be. They must be able to represent other cognitive agents both as objects of beliefs and as agents of beliefs. They must be able to represent their own beliefs, and they must be able to represent beliefs (...)
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  30. Local Food and International Ethics.Mark C. Navin - 2014 - Journal of Agricultural and Environmental Ethics 27 (3):349-368.
    Many advocate practices of ‘local food’ or ‘locavorism’ as a partial solution to the injustices and unsustainability of contemporary food systems. I think that there is much to be said in favor of local food movements, but these virtues are insufficient to immunize locavorism from criticism. In particular, three duties of international ethics—beneficence, repair and fairness—may provide reasons for constraining the developed world’s permissible pursuit of local food. A complete account of why (and how) the fulfillment of these duties constrains (...)
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  31. Events and Event Talk: An Introduction.Fabio Pianesi & Achille C. Varzi - 2000 - In James Higginbotham, Fabio Pianesi & Achille C. Varzi (eds.), Speaking of events. New York: Oxford University Press. pp. 3–47.
    A critical review of the main themes arising out of recent literature on the semantics of ordinary event talk. The material is organized in four sections: (i) the nature of events, with emphasis on the opposition between events as particulars and events as universals; (ii) identity and indeterminacy, with emphasis on the unifier/multiplier controversy; (iii) events and logical form, with emphasis on Davidson’s treatment of the form of action sentences; (iv) linguistic applications, with emphasis on issues concerning aspectual phenomena, the (...)
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  32. The functions of Russell’s no class theory.Kevin C. Klement - 2010 - Review of Symbolic Logic 3 (4):633-664.
    Certain commentators on Russell's “no class” theory, in which apparent reference to classes or sets is eliminated using higher-order quantification, including W. V. Quine and (recently) Scott Soames, have doubted its success, noting the obscurity of Russell’s understanding of so-called “propositional functions”. These critics allege that realist readings of propositional functions fail to avoid commitment to classes or sets (or something equally problematic), and that nominalist readings fail to meet the demands placed on classes by mathematics. I show that Russell (...)
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  33. Promiscuous Endurantism and Diachronic Vagueness.Achille C. Varzi - 2007 - American Philosophical Quarterly 44 (2):181-189.
    According to a popular line of reasoning, diachronic vagueness creates a problem for the endurantist conception of persistence. Some authors have replied that this line of reasoning is inconclusive, since the endurantist can subscribe to a principle of Diachronic Unrestricted Composition (DUC) that is perfectly parallel to the principle required by the perdurantist’s semantic account. I object that the endurantist should better avoid DUC. And I argue that even DUC, if accepted, would fail to provide the endurantist with the necessary (...)
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  34. Russell's Paradox in Appendix B of the Principles of Mathematics : Was Frege's response adequate?Kevin C. Klement - 2001 - History and Philosophy of Logic 22 (1):13-28.
    In their correspondence in 1902 and 1903, after discussing the Russell paradox, Russell and Frege discussed the paradox of propositions considered informally in Appendix B of Russell’s Principles of Mathematics. It seems that the proposition, p, stating the logical product of the class w, namely, the class of all propositions stating the logical product of a class they are not in, is in w if and only if it is not. Frege believed that this paradox was avoided within his philosophy (...)
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  35. Parts, Counterparts and Modal Occurrents.Achille C. Varzi - 2001 - Travaux de Logique 14 (1):151-171.
    The paper investigates the link between the theory of modal occurrents (where individuals are allowed to stretch across possible worlds) and Lewis’s counterpart theory (where all individuals are world-bound but have counterparts in other worlds). First I show how to interpret modal talk extensionally within the theory of modal occurrents. Then I show that the assumption that worlds be pairwise discrete is all that is needed to reconstruct the bulk of counterpart theory (i.e., to define the concept of a counterpart (...)
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  36. Unsharpenable Vagueness.John Collins & Achille C. Varzi - 2000 - Philosophical Topics 28 (1):1-10.
    A plausible thought about vagueness is that it involves semantic incompleteness. To say that a predicate is vague is to say (at the very least) that its extension is incompletely specified. Where there is incomplete specification of extension there is indeterminacy, an indeterminacy between various ways in which the specification of the predicate might be completed or sharpened. In this paper we show that this idea is bound to founder by presenting an argument to the effect that there are vague (...)
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  37. Putting form before function: Logical grammar in Frege, Russell, and Wittgenstein.Kevin C. Klement - 2004 - Philosophers' Imprint 4:1-47.
    The positions of Frege, Russell and Wittgenstein on the priority of complexes over (propositional) functions are sketched, challenging those who take the "judgment centered" aspects of the Tractatus to be inherited from Frege not Russell. Frege's views on the priority of judgments are problematic, and unlike Wittgenstein's. Russell's views on these matters, and their development, are discussed in detail, and shown to be more sophisticated than usually supposed. Certain misreadings of Russell, including those regarding the relationship between propositional functions and (...)
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  38. Russell, His Paradoxes, and Cantor's Theorem: Part I.Kevin C. Klement - 2010 - Philosophy Compass 5 (1):16-28.
    In these articles, I describe Cantor’s power-class theorem, as well as a number of logical and philosophical paradoxes that stem from it, many of which were discovered or considered (implicitly or explicitly) in Bertrand Russell’s work. These include Russell’s paradox of the class of all classes not members of themselves, as well as others involving properties, propositions, descriptive senses, class-intensions, and equivalence classes of coextensional properties. Part I focuses on Cantor’s theorem, its proof, how it can be used to manufacture (...)
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  39. Supervaluationism and Paraconsistency.Achille C. Varzi - 2000 - In Diderik Batens, Chris Mortensen, Graham Priest & Jean Paul Van Bendegem (eds.), Frontiers in Paraconsistent Logic. Research Studies Press. pp. 279–297.
    Since its first appearance in 1966, the notion of a supervaluation has been regarded by many as a powerful tool for dealing with semantic gaps. Only recently, however, applications to semantic gluts have also been considered. In previous work I proposed a general framework exploiting the intrinsic gap/glut duality. Here I also examine an alternative account where gaps and gluts are treated on a par: although they reflect opposite situations, the semantic upshot is the same in both cases--the value of (...)
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  40. Symbol grounding in computational systems: A paradox of intentions.Vincent C. Müller - 2009 - Minds and Machines 19 (4):529-541.
    The paper presents a paradoxical feature of computational systems that suggests that computationalism cannot explain symbol grounding. If the mind is a digital computer, as computationalism claims, then it can be computing either over meaningful symbols or over meaningless symbols. If it is computing over meaningful symbols its functioning presupposes the existence of meaningful symbols in the system, i.e. it implies semantic nativism. If the mind is computing over meaningless symbols, no intentional cognitive processes are available prior to symbol grounding. (...)
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  41. Russell's 1903 - 1905 Anticipation of the Lambda Calculus.Kevin C. Klement - 2003 - History and Philosophy of Logic 24 (1):15-37.
    It is well known that the circumflex notation used by Russell and Whitehead to form complex function names in Principia Mathematica played a role in inspiring Alonzo Church's “lambda calculus” for functional logic developed in the 1920s and 1930s. Interestingly, earlier unpublished manuscripts written by Russell between 1903–1905—surely unknown to Church—contain a more extensive anticipation of the essential details of the lambda calculus. Russell also anticipated Schönfinkel's combinatory logic approach of treating multiargument functions as functions having other functions as value. (...)
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  42. Extension and Measurement: A Constructivist Program from Leibniz to Grassmann.Erik C. Banks - 2013 - Studies in History and Philosophy of Science Part A 44 (1):20-31.
    Extension is probably the most general natural property. Is it a fundamental property? Leibniz claimed the answer was no, and that the structureless intuition of extension concealed more fundamental properties and relations. This paper follows Leibniz's program through Herbart and Riemann to Grassmann and uses Grassmann's algebra of points to build up levels of extensions algebraically. Finally, the connection between extension and measurement is considered.
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  43. Event Location and Vagueness.Andrea Borghini & Achille C. Varzi - 2006 - Philosophical Studies 128 (2):313-336.
    Most event-referring expressions are vague; it is utterly difficult, if not impossible, to specify the exact spatiotemporal location of an event from the words that we use to refer to it. We argue that in spite of certain prima facie obstacles, such vagueness can be given a purely semantic (broadly supervaluational) account.
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  44. Basic Problems of Mereotopology.Achille C. Varzi - 1998 - In Nicola Guarino (ed.), Formal Ontology in Information Systems. IOS Press. pp. 29–38.
    Mereotopology is today regarded as a major tool for ontological analysis, and for many good reasons. There are, however, a number of open questions that call for an answer. Some are philosophical, others have direct applicative import, but all are crucial for a proper assessment of the strengths and limits of mereotopology. This paper is an attempt to put sum order in this area.
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  45. Is Justification Knowledge?Brent J. C. Madison - 2010 - Journal of Philosophical Research 35:173-191.
    Analytic epistemologists agree that, whatever else is true of epistemic justification, it is distinct from knowledge. However, if recent work by Jonathan Sutton is correct, this view is deeply mistaken, for according to Sutton justification is knowledge. That is, a subject is justified in believing that p iff he knows that p. Sutton further claims that there is no concept of epistemic justification distinct from knowledge. Since knowledge is factive, a consequence of Sutton’s view is that there are no false (...)
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  46. Original Sin, the Fall, and Epistemic Self-Trust.Jonathan C. Rutledge - 2018 - TheoLogica: An International Journal for Philosophy of Religion and Philosophical Theology 2 (1):84-94.
    In this paper, I argue that no strong doctrine of the Fall can undermine the propriety of epistemic self-trust. My argument proceeds by introducing a common type of philosophical methodology, known as reflective equilibrium. After a brief exposition of the method, I introduce a puzzle for someone engaged in the project of self-reflection after gaining a reason to distrust their epistemic selves on the basis of a construal of a doctrine of the Fall. I close by introducing the worry as (...)
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  47. African Identity: the Nature-culture Perspective.Charles C. Nweke - 2018 - Philosophia: International Journal of Philosophy (Philippine e-journal) 19 (1):66-75.
    The paper examines the loss of African identity within the modern/ contemporary era. African identity has been a recurrent theme in all domains of African studies, serving as a major intellectual concern of many African scholars. Debates on the reality of African Philosophy are anchored on the questions surrounding African identity giving rise to thoughts and contents of that philosophy. Despite the volumes already generated on the theme, the controversial circumstances that engendered the subject of African identity makes its intellectual (...)
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  48. Descartes' argument for mind-body dualism.Douglas C. Long - 1969 - Philosophical Forum 1 (3):259-273.
    In his Meditations Descartes concludes that he is a res cogitans, an unextended entity whose essence is to be conscious. His reasoning in support of the conclusion that he exists entirely distinct from his body has seemed unconvincing to his critics. I attempt to show that the reasoning which he offers in support of his conclusion. although mistaken, is more plausible and his mistakes more interesting than his critics have acknowledged.
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  49. Hilpinen's rules of acceptance and inductive logic.Alex C. Michalos - 1971 - Philosophy of Science 38 (2):293-302.
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  50. Complementary Sentential Logics.Achille C. Varzi - 1990 - Bulletin of the Section of Logic 19 (4):112-116.
    It is shown that a complete axiomatization of classical non-tautologies can be obtained by taking F (falsehood) as the sole axiom along with the two inference rules: (i) if A is a substitution instance of B, then A |– B; and (ii) if A is obtained from B by replacement of equivalent sentences, then A |– B (counting as equivalent the pairs {T, ~F}, {F, F&F}, {F, F&T}, {F, T&F}, {T, T&T}). Since the set of tautologies is also specifiable by (...)
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