Results for 'Andrew Strong'

949 found
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  1. A Defense of Strong Voluntarism.Andrew Jason Cohen - 1998 - American Philosophical Quarterly 35 (3):251-265.
    Critics of liberalism in the past two decades have argued that the fact that we are necessarily "situated" or "embedded" means that we can not always choose our own ends (for example, our conceptions of the good or our loyalties to others). Some suggest that we simply discover ourselves with these "connections." If correct, this would argue against (Rawlsian) hypothetical contract models and liberalism more broadly, make true impartiality impossible, and give support to traditionalist views like those of Alasdair MacIntyre, (...)
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  2. Non-classical Metatheory for Non-classical Logics.Andrew Bacon - 2013 - Journal of Philosophical Logic 42 (2):335-355.
    A number of authors have objected to the application of non-classical logic to problems in philosophy on the basis that these non-classical logics are usually characterised by a classical metatheory. In many cases the problem amounts to more than just a discrepancy; the very phenomena responsible for non-classicality occur in the field of semantics as much as they do elsewhere. The phenomena of higher order vagueness and the revenge liar are just two such examples. The aim of this paper is (...)
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  3. Kant on the Object-Dependence of Intuition and Hallucination.Andrew Stephenson - 2015 - Philosophical Quarterly 65 (260):486-508.
    Against a view currently popular in the literature, it is argued that Kant was not a niıve realist about perceptual experience. Naive realism entails that perceptual experience is object-dependent in a very strong sense. In the first half of the paper, I explain what this claim amounts to and I undermine the evidence that has been marshalled in support of attributing it to Kant. In the second half of the paper, I explore in some detail Kant’s account of hallucination (...)
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  4. Three Forms of Internalism and the New Evil Demon Problem.Andrew Moon - 2012 - Episteme 9 (4):345-360.
    The new evil demon problem is often considered to be a serious obstacle for externalist theories of epistemic justification. In this paper, I aim to show that the new evil demon problem also afflicts the two most prominent forms of internalism: moderate internalism and historical internalism. Since virtually all internalists accept at least one of these two forms, it follows that virtually all internalists face the NEDP. My secondary thesis is that many epistemologists – including both internalists and externalists – (...)
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  5. Inferentially Remembering that p.Andrew Naylor - 2015 - Logos and Episteme 6 (2):225-230.
    Most of our memories are inferential, so says Sven Bernecker in Memory: A Philosophical Study. I show that his account of inferentially remembering that p is too strong. A revision of the account that avoids the difficulty is proposed. Since inferential memory that p is memory that q (a proposition distinct from p) with an admixture of inference from one’s memory that q and a true thought one has that r, its analysis presupposes an adequate account of the (presumably (...)
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  6. Can we turn people into pain pumps?: On the Rationality of Future Bias and Strong Risk Aversion.David Braddon-Mitchell, Andrew J. Latham & Kristie Miller - 2023 - Journal of Moral Philosophy 1:1-32.
    Future-bias is the preference, all else being equal, for negatively valenced events be located in the past rather than the future, and positively valenced ones to be located in the future rather than the past. Strong risk aversion is the preference to pay some cost to mitigate the badness of the worst outcome. People who are both strongly risk averse and future-biased can face a series of choices that will guarantee them more pain, for no compensating benefit: they will (...)
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  7. If Molinism is true, what can you do?Andrew Law - 2024 - International Journal for Philosophy of Religion 95 (3):307-322.
    Suppose Molinism is true and God placed Adam in the garden because God knew Adam would freely eat of the fruit. Suppose further that, had it not been true that Adam would freely eat of the fruit, were he placed in the garden, God would have placed someone else there instead. When Adam freely eats of the fruit, is he free to do otherwise? This paper argues that there is a strong case for both a positive and a negative (...)
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  8. On Preferring that Overall, Things are Worse: Future‐Bias and Unequal Payoffs.Preston Greene, Andrew J. Latham, Kristie Miller & James Norton - 2021 - Philosophy and Phenomenological Research 105 (1):181-194.
    Philosophers working on time-biases assume that people are hedonically biased toward the future. A hedonically future-biased agent prefers pleasurable experiences to be future instead of past, and painful experiences to be past instead of future. Philosophers further predict that this bias is strong enough to apply to unequal payoffs: people often prefer less pleasurable future experiences to more pleasurable past ones, and more painful past experiences to less painful future ones. In addition, philosophers have predicted that future-bias is restricted (...)
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  9. The Scientific Evidence for Materialism About Pain.Andrew Melnyk - 2015 - In Steven M. Miller (ed.), The Constitution of Phenomenal Consciousness: Toward a Science and Theory. Philadelphia: John Benjamins. pp. 310-329.
    This paper argues in unprecedented empirical and philosophical detail that, given only what science has discovered about pain, we should prefer the materialist hypothesis that pains are purely material over the dualist hypothesis that they are immaterial. The empirical findings cited provide strong evidence for the thesis of empirical supervenience: that to every sort of introspectible change over time in pains, or variation among pains at a time, there corresponds in fact a certain sort of simultaneous neural change over (...)
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  10. Relativistic Implications for Physical Copies of Conscious States.Andrew Knight - manuscript
    The possibility of algorithmic consciousness depends on the assumption that conscious states can be copied or repeated by sufficiently duplicating their underlying physical states, leading to a variety of paradoxes, including the problems of duplication, teleportation, simulation, self-location, the Boltzmann brain, and Wigner’s Friend. In an effort to further elucidate the physical nature of consciousness, I challenge these assumptions by analyzing the implications of special relativity on evolutions of identical copies of a mental state, particularly the divergence of these evolutions (...)
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  11. A (Moral) Prisoner's Dilemma: Character Ethics and Plea Bargaining.Andrew Ingram - 2013 - Ohio State Journal of Criminal Law 11 (1):161-177.
    Plea bargains are the stock-in-trade of the modern American prosecutor’s office. The basic scenario, wherein a defendant agrees to plea guilty in exchange for a reduced sentence, is familiar to viewers of police procedurals. In an equally famous variation on the theme, the prosecutor requests something more than an admission of guilt: leniency will only be forthcoming if the defendant is willing to cooperate with the prosecutor in securing the conviction of another suspect. In some of these cases, the defendant (...)
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  12. Explaining Relativity. Summary of TAU. A unified theory.Andrew Thomas Holster -
    This is a summary presentation of TAU, a theory proposed to explain relativity and unify physics. It is a radical change, because it proposes six dimensions of space, instead of the usual three (normal physics) or nine (string theory). It starts with an alternative foundation for Special Relativity, and leads to a unified theory of physics. It is a realist theory because it is realist about space and time. The TAU concept is briefly introduced here, and its results explained in (...)
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  13. Which values should be built into economic measures?S. Andrew Schroeder - 2019 - Economics and Philosophy 35 (3):521-536.
    Many economic measures are structured to reflect ethical values. I describe three attitudes towards this: maximalism, according to which we should aim to build all relevant values into measures; minimalism, according to which we should aim to keep values out of measures; and an intermediate view. I argue the intermediate view is likely correct, but existing versions are inadequate. In particular, economists have strong reason to structure measures to reflect fixed, as opposed to user-assessable, values. This implies that, despite (...)
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  14. Liberalism, Communitarianism, and Asocialism.Andrew J. Cohen - 2000 - Journal of Value Inquiry 34 (2/3):249-261.
    In this paper I look at three versions of the charge that liberalism’s emphasis on individuals is detrimental to community—that it encourages a pernicious disregard of others by fostering a particular understanding of the individual and the relation she has with her society. According to that understanding, individuals are fundamentally independent entities who only enter into relations by choice and society is seen as nothing more than a venture voluntarily entered into in order to better oneself. Communitarian critics argue that (...)
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  15. Animal moral psychologies.Susana Monsó & Kristin Andrews - 2022 - In Manuel Vargas & John Doris (eds.), The Oxford Handbook of Moral Psychology. Oxford, U.K.: Oxford University Press.
    Observations of animals engaging in apparently moral behavior have led academics and the public alike to ask whether morality is shared between humans and other animals. Some philosophers explicitly argue that morality is unique to humans, because moral agency requires capacities that are only demonstrated in our species. Other philosophers argue that some animals can participate in morality because they possess these capacities in a rudimentary form. Scientists have also joined the discussion, and their views are just as varied as (...)
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  16. What is Mental Health and Disorder? Philosophical Implications from Lay Judgments.Somogy Varga & Andrew J. Latham - 2024 - Synthese (5).
    How do people understand the concepts of mental health and disorder? The objective of this paper is to examine the impact of several factors on people’s judgments about whether a condition constitutes a mental disorder or a healthy state. Specifically, this study examines the impact of the source of the condition, its outcome, individual valuation (i.e., the value the individual attaches to the condition), and group valuation (i.e., the value the relevant group attaches to the condition). While we find that (...)
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  17. Safety and Pluralism in Mathematics.James Andrew Smith - forthcoming - Erkenntnis:1-19.
    A belief one has is safe if either (i) it could not easily be false or (ii) in any nearby world in which it is false, it is not formed using the method one uses to form one’s actual belief. It seems our mathematical beliefs are safe if mathematical pluralism is true: if, loosely put, almost any consistent mathematical theory is true. It seems, after all, that in any nearby world where one’s mathematical beliefs differ from one’s actual beliefs, one (...)
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  18. Non-dynamism and temporal disturbances.Sam Baron, Andrew J. Latham & Somogy Varga - 2023 - Synthese 202 (2).
    Philosophical accounts denying that temporal passage is an objective feature of reality face an explanatory challenge with respect to why it appears to us as though time passes. Recently, two solutions have surfaced. Cognitive illusionism claims that people experience the passage of time due to their belief that time passes. Cognitive error theory claims that we do not experience the passage of time, but hold the belief that we do, which we have acquired through making an inference from the prior (...)
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  19. The time asymmetry of quantum mechanics and concepts of physical directionality of time Part 1.Andrew Thomas Holster - manuscript
    This is Part 1 of a four part paper, intended to redress some of the most fundamental confusions in the subject of physical time directionality, and represent the concepts accurately. There are widespread fallacies in the subject that need to be corrected in introductory courses for physics students and philosophers. We start in Part 1 by analysing the time reversal symmetry of quantum probability laws. Time reversal symmetry is defined as the property of invariance under the time reversal transformation, T: (...)
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  20. Do corporations have a duty to be trustworthy?Nikolas Kirby, Andrew Kirton & Aisling Crean - 2018 - Journal of the British Academy 6 (Supplementary issue 1):75-129.
    Since the global financial crisis in 2008, corporations have faced a crisis of trust, with growing sentiment against ‘elites and ‘big business’ and a feeling that ‘something ought to be done’ to re-establish public regard for corporations. Trust and trustworthiness are deeply moral significant. They provide the ‘glue or lubricant’ that begets reciprocity, decreases risk, secures dignity and respect, and safeguards against the subordination of the powerless to the powerful. However, in deciding how to restore trust, it is difficult to (...)
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  21. Not For the Faint of Heart: Assessing the Status Quo on Adoption and Parental Licensing.Carolyn McLeod & Andrew Botterell - 2014 - In Carolyn McLeod & Francoise Baylis (eds.), Family Making: Contemporary Ethical Challenges. Oxford, GB: Oxford University Press. pp. 151-167.
    The process of adopting a child is “not for the faint of heart.” This is what we were told the first time we, as a couple, began this process. Part of the challenge lies in fulfilling the licensing requirements for adoption, which, beyond the usual home study, can include mandatory participation in parenting classes. The question naturally arises for many people who are subjected to these requirements whether they are morally justified. We tackle this question in this paper. In our (...)
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  22. Divine Hiddenness and Affective Forecasting.Miles Andrews - 2014 - Res Cogitans 5 (1):102-110.
    In this paper I argue that J. L. Schellenberg’s Divine Hiddenness Argument is committed to a problematic implication that is weakened by research in cognitive psychology on affective forecasting. Schellenberg’s notion of a nonresistant nonbeliever logically implies that for any such person, it is true that she would form the proper belief in God if provided with what he calls “probabilifying” evidence for God’s existence. In light of Schellenberg’s commitment to the importance of both affective and propositional belief components for (...)
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  23.  75
    Visualizing Values.Mark Alfano, Andrew Higgins, Jacob Levernier & Veronica Alfano - forthcoming - In David Rheams, Tai Neilson & Lewis Levenberg (eds.), Handbook of Methods in the Digital Humanities. Rowman & Littlefield.
    Digital humanities research has developed haphazardly, with substantive contributions in some disciplines and only superficial uses in others. It has made almost no inroads in philosophy; for example, of the nearly two million articles, chapters, and books housed at philpapers.org, only sixteen pop up when one searches for ‘digital humanities’. In order to make progress in this field, we demonstrate that a hypothesis-driven method, applied by experts in data-collection, -aggregation, -analysis, and -visualization, yields philosophical fruits. “Call no one happy until (...)
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  24. Vindicating methodological triangulation.Remco Heesen, Liam Kofi Bright & Andrew Zucker - 2016 - Synthese 196 (8):3067-3081.
    Social scientists use many different methods, and there are often substantial disagreements about which method is appropriate for a given research question. In response to this uncertainty about the relative merits of different methods, W. E. B. Du Bois advocated for and applied “methodological triangulation”. This is to use multiple methods simultaneously in the belief that, where one is uncertain about the reliability of any given method, if multiple methods yield the same answer that answer is confirmed more strongly than (...)
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  25. RESEARCH AS A WAY OF LIFE.Leo Andrew Diego - manuscript
    What makes you better than yesterday? If it is the last day of your life, what will you do to make it as unforgettable existence? This philosophical inquiries are rooted in man’s search for meaning, infinite sense of wonder, need for self-actualization, and insatiable hunger for knowledge and truth. Life is meant to be lived and not to be observed. We are all actors in this arena of life and not just spectators waiting for changes to drive our ways of (...)
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  26. Storywrangler: A massive exploratorium for sociolinguistic, cultural, socioeconomic, and political timelines using Twitter.Thayer Alshaabi, Jane L. Adams, Michael V. Arnold, Joshua R. Minot, David R. Dewhurst, Andrew J. Reagan, Christopher M. Danforth & Peter Sheridan Dodds - manuscript
    In real-time, Twitter strongly imprints world events, popular culture, and the day-to-day; Twitter records an ever growing compendium of language use and change; and Twitter has been shown to enable certain kinds of prediction. Vitally, and absent from many standard corpora such as books and news archives, Twitter also encodes popularity and spreading through retweets. Here, we describe Storywrangler, an ongoing, day-scale curation of over 100 billion tweets containing around 1 trillion 1-grams from 2008 to 2020. For each day, we (...)
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  27. Architecture and Deconstruction. The Case of Peter Eisenman and Bernard Tschumi.Cezary Wąs - 2015 - Dissertation, University of Wrocław
    Architecture and Deconstruction Case of Peter Eisenman and Bernard Tschumi -/- Introduction Towards deconstruction in architecture Intensive relations between philosophical deconstruction and architecture, which were present in the late 1980s and early 1990s, belong to the past and therefore may be described from a greater than before distance. Within these relations three basic variations can be distinguished: the first one, in which philosophy of deconstruction deals with architectural terms but does not interfere with real architecture, the second one, in which (...)
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  28. Power to the (Right) People: Reply to Critics.Larry Alan Busk - 2024 - Critical Review: A Journal of Politics and Society 36 (1-2):92-118.
    This article responds to four critics of Democracy in Spite of the Demos and reiterates its central thesis. Christopher Holman and Théophile Pénigaud attempt to maintain the critical value of democracy by invoking different elements of the deliberative tradition, while Benjamin Schupmann answers my charges by appealing to a strong liberal constitutionalism. I argue that these attempts repeat the ambivalence described and criticized in the book: democracy is taken as an end in itself, but with asterisks that introduce conditions (...)
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  29. What Hume Didn't Notice About Divine Causation.Timothy Yenter - 2021 - In Gregory Ganssle (ed.), Philosophical Essays on Divine Causation. New York, NY: Routledge. pp. 158-173.
    Hume’s criticisms of divine causation are insufficient because he does not respond to important philosophical positions that are defended by those whom he closely read. Hume’s arguments might work against the background of a Cartesian definition of body, or a Malebranchian conception of causation, or some defenses of occasionalism. At least, I will not here argue that they succeed or fail against those targets. Instead, I will lay out two major deficiencies in his arguments against divine causation. I call these (...)
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  30. The Fallacy Fallacy: From the Owl of Minerva to the Lark of Arete.Andrew Aberdein - 2023 - Argumentation 37 (2):269-280.
    The fallacy fallacy is either the misdiagnosis of fallacy or the supposition that the conclusion of a fallacy must be a falsehood. This paper explores the relevance of these and related errors of reasoning for the appraisal of arguments, especially within virtue theories of argumentation. In particular, the fallacy fallacy exemplifies the Owl of Minerva problem, whereby tools devised to understand a norm make possible new ways of violating the norm. Fallacies are such tools and so are vices. Hence a (...)
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  31. Virtue in argument.Andrew Aberdein - 2010 - Argumentation 24 (2):165-179.
    Virtue theories have become influential in ethics and epistemology. This paper argues for a similar approach to argumentation. Several potential obstacles to virtue theories in general, and to this new application in particular, are considered and rejected. A first attempt is made at a survey of argumentational virtues, and finally it is argued that the dialectical nature of argumentation makes it particularly suited for virtue theoretic analysis.
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  32. Deep Disagreement in Mathematics.Andrew Aberdein - 2023 - Global Philosophy 33 (1):1-27.
    Disagreements that resist rational resolution, often termed “deep disagreements”, have been the focus of much work in epistemology and informal logic. In this paper, I argue that they also deserve the attention of philosophers of mathematics. I link the question of whether there can be deep disagreements in mathematics to a more familiar debate over whether there can be revolutions in mathematics. I propose an affirmative answer to both questions, using the controversy over Shinichi Mochizuki’s work on the abc conjecture (...)
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  33. Virtue theory of mathematical practices: an introduction.Andrew Aberdein, Colin Jakob Rittberg & Fenner Stanley Tanswell - 2021 - Synthese 199 (3-4):10167-10180.
    Until recently, discussion of virtues in the philosophy of mathematics has been fleeting and fragmentary at best. But in the last few years this has begun to change. As virtue theory has grown ever more influential, not just in ethics where virtues may seem most at home, but particularly in epistemology and the philosophy of science, some philosophers have sought to push virtues out into unexpected areas, including mathematics and its philosophy. But there are some mathematicians already there, ready to (...)
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  34. An Alternative to the Schwarzschild solution of GTR.Andrew Thomas Holster - manuscript
    The Schwarzschild solution (Schwarzschild, 1915/16) to Einstein’s General Theory of Relativity (GTR) is accepted in theoretical physics as the unique solution to GTR for a central-mass system. In this paper I propose an alternative solution to GTR, and argue it is both logically consistent and empirically realistic as a theory of gravity. This solution is here called K-gravity. The introduction explains the basic concept. The central sections go through the technical detail, defining the basic solution for the geometric tensor, the (...)
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  35. The Vices of Argument.Andrew Aberdein - 2016 - Topoi 35 (2):413-422.
    What should a virtue theory of argumentation say about fallacious reasoning? If good arguments are virtuous, then fallacies are vicious. Yet fallacies cannot just be identified with vices, since vices are dispositional properties of agents whereas fallacies are types of argument. Rather, if the normativity of good argumentation is explicable in terms of virtues, we should expect the wrongness of bad argumentation to be explicable in terms of vices. This approach is defended through analysis of several fallacies, with particular emphasis (...)
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  36. Virtues and Arguments: A Bibliography.Andrew Aberdein - manuscript
    A list of resources for virtue theories of argumentation. Last updated December 5th 2024.
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  37. Courageous Arguments and Deep Disagreements.Andrew Aberdein - 2019 - Topoi 40 (5):1205-1212.
    Deep disagreements are characteristically resistant to rational resolution. This paper explores the contribution a virtue theoretic approach to argumentation can make towards settling the practical matter of what to do when confronted with apparent deep disagreement, with particular attention to the virtue of courage.
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  38. Evidence, Proofs, and Derivations.Andrew Aberdein - 2019 - ZDM 51 (5):825-834.
    The traditional view of evidence in mathematics is that evidence is just proof and proof is just derivation. There are good reasons for thinking that this view should be rejected: it misrepresents both historical and current mathematical practice. Nonetheless, evidence, proof, and derivation are closely intertwined. This paper seeks to tease these concepts apart. It emphasizes the role of argumentation as a context shared by evidence, proofs, and derivations. The utility of argumentation theory, in general, and argumentation schemes, in particular, (...)
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  39. Eudaimonistic Argumentation.Andrew Aberdein - 2019 - In Bart Garssen & Frans van Eemeren (eds.), From Argument Schemes to Argumentative Relations in the Wild: A Variety of Contributions to Argumentation Theory. Cham, Switzerland: Springer Verlag. pp. 97–106.
    Virtue theories have lately enjoyed a modest vogue in the study of argumentation, echoing the success of more far-reaching programmes in ethics and epistemology. Virtue theories of argumentation (VTA) comprise several conceptually distinct projects, including the provision of normative foundations for argument evaluation and a renewed focus on the character of good arguers. Perhaps the boldest of these is the pursuit of the fully satisfying argument, the argument that contributes to human flourishing. This project has an independently developed epistemic analogue: (...)
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  40. Degrees of Consciousness.Andrew Y. Lee - 2023 - Noûs 57 (3):553-575.
    In the science of consciousness, it’s oftentimes assumed that some creatures (or mental states) are more conscious than others. But in recent years, a number of philosophers have argued that the notion of degrees of consciousness is conceptually confused. This paper (1) argues that the most prominent objections to degrees of consciousness are unsustainable, (2) examines the semantics of ‘more conscious than’ expressions, (3) develops an analysis of what it is for a degreed property to count as degrees of consciousness, (...)
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  41. Was Aristotle a virtue argumentation theorist?Andrew Aberdein - 2021 - In Joseph Andrew Bjelde, David Merry & Christopher Roser (eds.), Essays on Argumentation in Antiquity. Cham: Springer. pp. 215-229.
    Virtue theories of argumentation (VTA) emphasize the roles arguers play in the conduct and evaluation of arguments, and lay particular stress on arguers’ acquired dispositions of character, that is, virtues and vices. The inspiration for VTA lies in virtue epistemology and virtue ethics, the latter being a modern revival of Aristotle’s ethics. Aristotle is also, of course, the father of Western logic and argumentation. This paper asks to what degree Aristotle may thereby be claimed as a forefather by VTA.
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  42. Redefining revolutions.Andrew Aberdein - 2017 - In Moti Mizrahi (ed.), The Kuhnian Image of Science: Time for a Decisive Transformation? London: Rowman & Littlefield. pp. 133–154.
    In their account of theory change in logic, Aberdein and Read distinguish 'glorious' from 'inglorious' revolutions--only the former preserves all 'the key components of a theory' [1]. A widespread view, expressed in these terms, is that empirical science characteristically exhibits inglorious revolutions but that revolutions in mathematics are at most glorious [2]. Here are three possible responses: 0. Accept that empirical science and mathematics are methodologically discontinuous; 1. Argue that mathematics can exhibit inglorious revolutions; 2. Deny that inglorious revolutions are (...)
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  43. The philosophy of alternative logics.Andrew Aberdein & Stephen Read - 2009 - In Leila Haaparanta (ed.), The development of modern logic. New York: Oxford University Press. pp. 613-723.
    This chapter focuses on alternative logics. It discusses a hierarchy of logical reform. It presents case studies that illustrate particular aspects of the logical revisionism discussed in the chapter. The first case study is of intuitionistic logic. The second case study turns to quantum logic, a system proposed on empirical grounds as a resolution of the antinomies of quantum mechanics. The third case study is concerned with systems of relevance logic, which have been the subject of an especially detailed reform (...)
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  44. Arrogance and deep disagreement.Andrew Aberdein - 2020 - In Alessandra Tanesini & Michael P. Lynch (eds.), Polarisation, Arrogance, and Dogmatism: Philosophical Perspectives. London, UK: Routledge. pp. 39-52.
    I intend to bring recent work applying virtue theory to the study of argument to bear on a much older problem, that of disagreements that resist rational resolution, sometimes termed "deep disagreements". Just as some virtue epistemologists have lately shifted focus onto epistemic vices, I shall argue that a renewed focus on the vices of argument can help to illuminate deep disagreements. In particular, I address the role of arrogance, both as a factor in the diagnosis of deep disagreements and (...)
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  45. The Structure of Analog Representation.Andrew Y. Lee, Joshua Myers & Gabriel Oak Rabin - 2023 - Noûs 57 (1):209-237.
    This paper develops a theory of analog representation. We first argue that the mark of the analog is to be found in the nature of a representational system’s interpretation function, rather than in its vehicles or contents alone. We then develop the rulebound structure theory of analog representation, according to which analog systems are those that use interpretive rules to map syntactic structural features onto semantic structural features. The theory involves three degree-theoretic measures that capture three independent ways in which (...)
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  46. Dialogue Types, Argumentation Schemes, and Mathematical Practice: Douglas Walton and Mathematics.Andrew Aberdein - 2021 - Journal of Applied Logics 8 (1):159-182.
    Douglas Walton’s multitudinous contributions to the study of argumentation seldom, if ever, directly engage with argumentation in mathematics. Nonetheless, several of the innovations with which he is most closely associated lend themselves to improving our understanding of mathematical arguments. I concentrate on two such innovations: dialogue types (§1) and argumentation schemes (§2). I argue that both devices are much more applicable to mathematical reasoning than may be commonly supposed.
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  47. Argumentation in Mathematical Practice.Andrew Aberdein & Zoe Ashton - 2024 - In Bharath Sriraman (ed.), Handbook of the History and Philosophy of Mathematical Practice. Cham: Springer. pp. 2665-2687.
    Formal logic has often been seen as uniquely placed to analyze mathematical argumentation. While formal logic is certainly necessary for a complete understanding of mathematical practice, it is not sufficient. Important aspects of mathematical reasoning closely resemble patterns of reasoning in nonmathematical domains. Hence the tools developed to understand informal reasoning, collectively known as argumentation theory, are also applicable to much mathematical argumentation. This chapter investigates some of the details of that application. Consideration is given to the many contrasting meanings (...)
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  48. Observations on Sick Mathematics.Andrew Aberdein - 2010 - In Bart Van Kerkhove, Jean Paul Van Bendegem & Jonas De Vuyst (eds.), Philosophical Perspectives on Mathematical Practice. College Publications. pp. 269--300.
    This paper argues that new light may be shed on mathematical reasoning in its non-pathological forms by careful observation of its pathologies. The first section explores the application to mathematics of recent work on fallacy theory, specifically the concept of an ‘argumentation scheme’: a characteristic pattern under which many similar inferential steps may be subsumed. Fallacies may then be understood as argumentation schemes used inappropriately. The next section demonstrates how some specific mathematical fallacies may be characterized in terms of argumentation (...)
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  49. Arguments with losers.Andrew Aberdein - 2016 - Florida Philosophical Review 16 (1):1-11.
    I want to say something about the sort of arguments that it is possible to lose, and whether losing arguments can be done well. I shall focus on losing philosophical arguments, and I will be talking about arguments in the sense of acts of arguing. This is the sort of act that one can perform on one’s own or with one other person in private. But in either of these cases it is difficult to win—or to lose. So I shall (...)
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  50. Managing Informal Mathematical Knowledge: Techniques from Informal Logic.Andrew Aberdein - 2006 - Lecture Notes in Artificial Intelligence 4108:208--221.
    Much work in MKM depends on the application of formal logic to mathematics. However, much mathematical knowledge is informal. Luckily, formal logic only represents one tradition in logic, specifically the modeling of inference in terms of logical form. Many inferences cannot be captured in this manner. The study of such inferences is still within the domain of logic, and is sometimes called informal logic. This paper explores some of the benefits informal logic may have for the management of informal mathematical (...)
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