Results for 'Nevin Johnson'

239 found
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  1. The structure of epistemic probabilities.Nevin Climenhaga - 2020 - Philosophical Studies 177 (11):3213-3242.
    The epistemic probability of A given B is the degree to which B evidentially supports A, or makes A plausible. This paper is a first step in answering the question of what determines the values of epistemic probabilities. I break this question into two parts: the structural question and the substantive question. Just as an object’s weight is determined by its mass and gravitational acceleration, some probabilities are determined by other, more basic ones. The structural question asks what probabilities are (...)
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  2. Causal Inference from Noise.Nevin Climenhaga, Lane DesAutels & Grant Ramsey - 2021 - Noûs 55 (1):152-170.
    "Correlation is not causation" is one of the mantras of the sciences—a cautionary warning especially to fields like epidemiology and pharmacology where the seduction of compelling correlations naturally leads to causal hypotheses. The standard view from the epistemology of causation is that to tell whether one correlated variable is causing the other, one needs to intervene on the system—the best sort of intervention being a trial that is both randomized and controlled. In this paper, we argue that some purely correlational (...)
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  3. Inference to the Best Explanation Made Incoherent.Nevin Climenhaga - 2017 - Journal of Philosophy 114 (5):251-273.
    Defenders of Inference to the Best Explanation claim that explanatory factors should play an important role in empirical inference. They disagree, however, about how exactly to formulate this role. In particular, they disagree about whether to formulate IBE as an inference rule for full beliefs or for degrees of belief, as well as how a rule for degrees of belief should relate to Bayesianism. In this essay I advance a new argument against non-Bayesian versions of IBE. My argument focuses on (...)
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  4. How Explanation Guides Confirmation.Nevin Climenhaga - 2017 - Philosophy of Science 84 (2):359-68.
    Where E is the proposition that [If H and O were true, H would explain O], William Roche and Elliot Sober have argued that P(H|O&E) = P(H|O). In this paper I argue that not only is this equality not generally true, it is false in the very kinds of cases that Roche and Sober focus on, involving frequency data. In fact, in such cases O raises the probability of H only given that there is an explanatory connection between them.
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  5. A Cumulative Case Argument for Infallibilism.Nevin Climenhaga - 2021 - In Christos Kyriacou & Kevin Wallbridge (eds.), Skeptical Invariantism Reconsidered. New York, NY: Routledge.
    I present a cumulative case for the thesis that we only know propositions that are certain for us. I argue that this thesis can easily explain the truth of eight plausible claims about knowledge: -/- (1) There is a qualitative difference between knowledge and non-knowledge. (2) Knowledge is valuable in a way that non-knowledge is not. (3) Subjects in Gettier cases do not have knowledge. (4) If S knows that P, P is part of S’s evidence. (5) If S knows (...)
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  6. Epistemic Probabilities are Degrees of Support, not Degrees of (Rational) Belief.Nevin Climenhaga - 2024 - Philosophy and Phenomenological Research 108 (1):153-176.
    I argue that when we use ‘probability’ language in epistemic contexts—e.g., when we ask how probable some hypothesis is, given the evidence available to us—we are talking about degrees of support, rather than degrees of belief. The epistemic probability of A given B is the mind-independent degree to which B supports A, not the degree to which someone with B as their evidence believes A, or the degree to which someone would or should believe A if they had B as (...)
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  7. How Infallibilists Can Have It All.Nevin Climenhaga - 2023 - The Monist 106 (4):363-380.
    I advance a novel argument for an infallibilist theory of knowledge, according to which we know all and only those propositions that are certain for us. I argue that this theory lets us reconcile major extant theories of knowledge, in the following sense: for any of these theories, if we require that its central condition (evidential support, reliability, safety, etc.) obtains to a maximal degree, we get a theory of knowledge extensionally equivalent to infallibilism. As such, the infallibilist can affirm (...)
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  8. Infinite Value and the Best of All Possible Worlds.Nevin Climenhaga - 2018 - Philosophy and Phenomenological Research 97 (2):367-392.
    A common argument for atheism runs as follows: God would not create a world worse than other worlds he could have created instead. However, if God exists, he could have created a better world than this one. Therefore, God does not exist. In this paper I challenge the second premise of this argument. I argue that if God exists, our world will continue without end, with God continuing to create value-bearers, and sustaining and perfecting the value-bearers he has already created. (...)
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  9. If We Can’t Tell What Theism Predicts, We Can’t Tell Whether God Exists: Skeptical Theism and Bayesian Arguments from Evil.Nevin Climenhaga - forthcoming - Oxford Studies in Philosophy of Religion.
    According to a simple Bayesian argument from evil, the evil we observe is less likely given theism than given atheism, and therefore lowers the probability of theism. I consider the most common skeptical theist response to this argument, according to which our cognitive limitations make the probability of evil given theism inscrutable. I argue that if skeptical theists are right about this, then the probability of theism given evil is itself largely inscrutable, and that if this is so, we ought (...)
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  10. Molinism: Explaining our Freedom Away.Nevin Climenhaga & Daniel Rubio - 2022 - Mind 131 (522):459-485.
    Molinists hold that there are contingently true counterfactuals about what agents would do if put in specific circumstances, that God knows these prior to creation, and that God uses this knowledge in choosing how to create. In this essay we critique Molinism, arguing that if these theses were true, agents would not be free. Consider Eve’s sinning upon being tempted by a serpent. We argue that if Molinism is true, then there is some set of facts that fully explains both (...)
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  11. Evidence and Inductive Inference.Nevin Climenhaga - 2024 - In Maria Lasonen-Aarnio & Clayton Littlejohn (eds.), The Routledge Handbook of the Philosophy of Evidence. New York, NY: Routledge. pp. 435-449.
    This chapter presents a typology of the different kinds of inductive inferences we can draw from our evidence, based on the explanatory relationship between evidence and conclusion. Drawing on the literature on graphical models of explanation, I divide inductive inferences into (a) downwards inferences, which proceed from cause to effect, (b) upwards inferences, which proceed from effect to cause, and (c) sideways inferences, which proceed first from effect to cause and then from that cause to an additional effect. I further (...)
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  12. Moral imagination: implications of cognitive science for ethics.Mark Johnson - 1993 - Chicago: University of Chicago Press.
    Using path-breaking discoveries of cognitive science, Mark Johnson argues that humans are fundamentally imaginative moral animals, challenging the view that morality is simply a system of universal laws dictated by reason. According to the Western moral tradition, we make ethical decisions by applying universal laws to concrete situations. But Johnson shows how research in cognitive science undermines this view and reveals that imagination has an essential role in ethical deliberation. Expanding his innovative studies of human reason in Metaphors (...)
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  13. A problem for the alternative difference measure of confirmation.Nevin Climenhaga - 2013 - Philosophical Studies 164 (3):643-651.
    Among Bayesian confirmation theorists, several quantitative measures of the degree to which an evidential proposition E confirms a hypothesis H have been proposed. According to one popular recent measure, s, the degree to which E confirms H is a function of the equation P(H|E) − P(H|~E). A consequence of s is that when we have two evidential propositions, E1 and E2, such that P(H|E1) = P(H|E2), and P(H|~E1) ≠ P(H|~E2), the confirmation afforded to H by E1 does not equal the (...)
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  14. Intellectual Property and the Pharmaceutical Industry: A Moral Crossroads Between Health and Property.Rivka Amado & Nevin M. Gewertz - 2004 - Journal of Business Ethics 55 (3):295-308.
    The moral justification of intellectual property is often called into question when placed in the context of pharmaceutical patents and global health concerns. The theoretical accounts of both John Rawls and Robert Nozick provide an excellent ethical framework from which such questions can be clarified. While Nozick upholds an individuals right to intellectual property, based upon its conformation with Lockean notions of property and Nozicks ideas of just acquisition and transfer, Rawls emphasizes the importance of basic liberties, such as an (...)
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  15. Is J.S. Mill’s Account of Free Speech Sustainable in the Age of Social Media?Nevin Chellappah - 2022 - Stance 15:44-55.
    In this paper, I examine whether John Stuart Mill’s account of free speech can survive three main challenges posed by social media. First, I consider the problem of social media failing to distinguish between emotive and factual language. Second, I look at the problem of algorithms creating moralism. I then turn to a potential objection to my first two challenges. The objection elucidates the benefits of social media’s emotional and algorithmic character, amplifying arguments and increasing public engagement. However, I take (...)
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  16. Papias's Prologue and the Probability of Parallels.Nevin Climenhaga - 2020 - Journal of Biblical Literature 139 (3):591-596.
    Several scholars, including Martin Hengel, R. Alan Culpepper, and Richard Bauckham, have argued that Papias had knowledge of the Gospel of John on the grounds that Papias’s prologue lists six of Jesus’s disciples in the same order that they are named in the Gospel of John: Andrew, Peter, Philip, Thomas, James, and John. In “A Note on Papias’s Knowledge of the Fourth Gospel” (JBL 129 [2010]: 793–794), Jake H. O’Connell presents a statistical analysis of this argument, according to which the (...)
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  17. Initiation and control of gait from first principles: a mathematically animated model of the foot.Craig Nevin - 2001 - Dissertation, Eschewed
    The initiation of bipedal gait is a willed action that causes a body at rest to move. Newton's first principle of motion is applied to experimental footprint data. leading to the premise that the big toe is the source of the body action force that initiates and controls bipedal gait.
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  18. Existing Ethical Tensions in Xenotransplantation.L. Syd M. Johnson - 2022 - Cambridge Quarterly of Healthcare Ethics 31 (3):355-367.
    The genetic modification of pigs as a source of transplantable organs is one of several possible solutions to the chronic organ shortage. This paper describes existing ethical tensions in xenotransplantation (XTx) that argue against pursuing it. Recommendations for lifelong infectious disease surveillance and notification of close contacts of recipients are in tension with the rights of human research subjects. Parental/guardian consent for pediatric xenograft recipients is in tension with a child’s right to an open future. Individual consent to transplant is (...)
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  19. Protrepticus. Aristotle, Monte Ransome Johnson & D. S. Hutchinson - manuscript
    A new translation and edition of Aristotle's Protrepticus (with critical comments on the fragments) -/- Welcome -/- The Protrepticus was an early work of Aristotle, written while he was still a member of Plato's Academy, but it soon became one of the most famous works in the whole history of philosophy. Unfortunately it was not directly copied in the middle ages and so did not survive in its own manuscript tradition. But substantial fragments of it have been preserved in several (...)
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  20. Deep Disagreement, Hinge Commitments, and Intellectual Humility.Drew Johnson - 2022 - Episteme 19 (3):353-372.
    Why is it that some instances of disagreement appear to be so intractable? And what is the appropriate way to handle such disagreements, especially concerning matters about which there are important practical and political needs for us to come to a consensus? In this paper, I consider an explanation of the apparent intractability of deep disagreement offered by hinge epistemology. According to this explanation, at least some deep disagreements are rationally unresolvable because they concern ‘hinge’ commitments that are unresponsive to (...)
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  21. Are Algorithms Value-Free?Gabbrielle M. Johnson - 2023 - Journal Moral Philosophy 21 (1-2):1-35.
    As inductive decision-making procedures, the inferences made by machine learning programs are subject to underdetermination by evidence and bear inductive risk. One strategy for overcoming these challenges is guided by a presumption in philosophy of science that inductive inferences can and should be value-free. Applied to machine learning programs, the strategy assumes that the influence of values is restricted to data and decision outcomes, thereby omitting internal value-laden design choice points. In this paper, I apply arguments from feminist philosophy of (...)
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  22. Cinematic street art? Exploring the limits of the philosophy of street art.Logan Canada-Johnson - 2023 - Aisthesis: Pratiche, Linguaggi E Saperi Dell’Estetico 16 (1):105-115.
    As artforms, film and street art seem incompatible. Contra this incompatibility, I investigate their combination: cinematic street art. Two promising cases are the artworks MUTO and Repopulate, but I argue neither is suitable. MUTO only counts if I accept the transparency thesis, the claim that photographs allow us to literally see their depicta. Repopulate only counts if we reject Noel Carroll’s requirement that a cinematic performance token isn’t itself an artwork. However, these imperfect cases demonstrate what is required in order (...)
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  23. Moral Obligation and Epistemic Risk.Zoe Johnson King & Boris Babic - 2020 - Oxford Studies in Normative Ethics 10:81-105.
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  24. Unconscious Perception and Unconscious Bias: Parallel Debates about Unconscious Content.Gabbrielle Johnson - 2023 - In Uriah Kriegel (ed.), Oxford Studies in Philosophy of Mind Vol. 3. Oxford: Oxford University Press. pp. 87-130.
    The possibilities of unconscious perception and unconscious bias prompt parallel debates about unconscious mental content. This chapter argues that claims within these debates alleging the existence of unconscious content are made fraught by ambiguity and confusion with respect to the two central concepts they involve: consciousness and content. Borrowing conceptual resources from the debate about unconscious perception, the chapter distills the two conceptual puzzles concerning each of these notions and establishes philosophical strategies for their resolution. It then argues that empirical (...)
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  25. God’s Prime Directive: Non-Interference and Why There Is No (Viable) Free Will Defense.David Kyle Johnson - 2022 - Religions 13 (9).
    In a recent book and article, James Sterba has argued that there is no free will defense. It is the purpose of this article to show that, in the most technical sense, he is wrong. There is a version of the free will defense that can solve what Sterba (rightly) takes to be the most interesting and severe version of the logical problem of moral evil. However, I will also argue that, in effect (or, we might say, in practice), Sterba (...)
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  26. Psychedelic therapy for body dysmorphic disorder.Shevaugn Johnson & Chris Letheby - 2022 - Journal of Psychedelic Studies 6 (1):23-30.
    In this opinion piece we propose the investigation of psychedelic-assisted psychotherapy for the treatment of body dysmorphic disorder (BDD). BDD is a psychiatric disorder characterised by appearance-based preoccupations and accompanying compulsions. While safe and effective treatments for BDD exist, non-response and relapse rates remain high. Therefore, there is a need to investigate promising new treatment options for this highly debilitating condition. Preliminary evidence suggests safety, feasibility, and potential efficacy of psychedelic treatments in disorders that share similar psychopathological mechanisms with BDD. (...)
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  27. Inference to the Best Explanation and Rejecting the Resurrection.David Kyle Johnson - 2021 - Socio-Historical Examination of Religion and Ministry 3 (1):26-51.
    Christian apologists, like Willian Lane Craig and Stephen T. Davis, argue that belief in Jesus’ resurrection is reasonable because it provides the best explanation of the available evidence. In this article, I refute that thesis. To do so, I lay out how the logic of inference to the best explanation (IBE) operates, including what good explanations must be and do by definition, and then apply IBE to the issue at hand. Multiple explanations—including (what I will call) The Resurrection Hypothesis, The (...)
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  28. Models for modal syllogisms.Fred Johnson - 1989 - Notre Dame Journal of Formal Logic 30 (2):271-284.
    A semantics is presented for Storrs McCall's separate axiomatizations of Aristotle's accepted and rejected polysyllogisms. The polysyllogisms under discussion are made up of either assertoric or apodeictic propositions. The semantics is given by associating a property with a pair of sets: one set consists of things having the property essentially and the other of things having it accidentally. A completeness proof and a semantic decision procedure are given.
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  29. Mark C. Murphy, God’s Own Ethics: Norms of Divine Agency and the Argument from Evil. [REVIEW]Nevin Climenhaga - 2020 - Journal of Moral Philosophy 17 (5):587-590.
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  30. "At What Cost Do We 'Rent'?".David B. Johnson - 2023 - In Between Ethics: Navigating the Ethical Space in Business. Dubuque: Kendall-Hunt Publishing.
    To Aaron Pacitti and Michael Cauvel–whose journal article, “Rent-Seeking Behavior and Economic Justice: A Classroom Exercise” broadly argues that “understanding the [complexities] of rent-seeking behavior helps fill the gap between economics and politics”–the varieties of rent are wide and, therefore, can only be described in their category-specific positions. I will discuss three of these categories in more detail below, but for now, I propose that a useful working grasp of economic rent involves “the amount paid to the owner of a (...)
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  31. The Psychology of Bias.Gabbrielle Johnson - 2020 - In Erin Beeghly & Alex Madva (eds.), An Introduction to Implicit Bias: Knowledge, Justice, and the Social Mind. New York, NY, USA: Routledge.
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  32. Spontaneity, Democritean Causality and Freedom.Monte Ransome Johnson - 2009 - Elenchos 30 (1):5-52.
    Critics have alleged that Democritus’ ethical prescriptions (“gnomai”) are incompatible with his physics, since his atomism seems committed to necessity or chance (or an awkward combination of both) as a universal cause of everything, leaving no room for personal responsibility. I argue that Democritus’ critics, both ancient and contemporary, have misunderstood a fundamental concept of his causality: a cause called “spontaneity”, which Democritus evidently considered a necessary (not chance) cause, compatible with human freedom, of both atomic motion and human actions. (...)
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  33. On Law and Justice Attributed to Archytas of Tarentum.Johnson Monte & P. S. Horky - 2020 - In David Wolfsdorf (ed.), Early Greek Ethics. Oxford: Oxford University Press. pp. 455-490.
    Archytas of Tarentum, a contemporary and associate of Plato, was a famous Pythagorean, mathematician, and statesman of Tarentum. Although his works are lost and most of the fragments attributed to him were composed in later eras, they nevertheless contain valuable information about his thought. In particular, the fragments of On Law and Justice are likely based on a work by the early Peripatetic biographer Aristoxenus of Tarentum. The fragments touch on key themes of early Greek ethics, including: written and unwritten (...)
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  34. On Angels, Demons, and Ghosts: Is Justified Belief in Spiritual Entities Possible?David Kyle Johnson - 2022 - Religions 13 (603).
    Belief in the existence of spiritual entities is an integral part of many people’s religious worldview. Angels appear, demons possess, ghosts haunt. But is belief that such entities exist justified? If not, are there conditions in which it would be? I will begin by showing why, once one clearly understands how to infer the best explanation, it is obvious that neither stories nor personal encounters can provide sufficient evidence to justify belief in spiritual entities. After responding to objections to similar (...)
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  35. Authenticating Aristotle's Protrepticus.Monte Ransome Johnson & D. S. Hutchinson - 2005 - Oxford Studies in Ancient Philosophy 29:193-294.
    Authenticates approximately 500 lines of Aristotle's lost work the Protrepticus (Exhortation to Philosophy) contained in the circa third century AD work by Iamblichus of Chalcis entitled Protrepticus epi philosophian. Includes a complete English translation of the authenticated material.
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  36. Deductively-inductively.Fred Johnson - 1980 - Informal Logic 3 (1):4-5.
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  37. What is Done, Is Done.David B. Johnson - 2023 - In Between Ethics: Navigating the Ethical Space in Business. Dubuque: Kendall-Hunt Publishing.
    An interruption. Rethinking the first three chapters of this book, I have come to suspect that, not unlike Iris Murdoch and Emmanuel Levinas, the way I imagine ‘ethics’ floats on an idea that any ethical substantive position or ethical theory is always shaped through our existential condition and our embodied encounter with others. To Murdoch, existence is the disposition for our responses to the ways in which we perceive reality, and yet, although these responses are always part of who we (...)
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  38.  1
    Biology and Theology in Aristotle's Theoretical and Practical Sciences.Monte Johnson - 2021 - In Sophia M. Connell (ed.), The Cambridge Companion to Aristotle's Biology. New York, NY: Cambridge University Press. pp. 12-29.
    Biology and theology are interdependent theoretical sciences for Aristotle. In prominent discussions of the divine things (the stars and their unmoved movers) Aristotle appeals to the science of living things, and in prominent discussions of the nature of plants and animals Aristotle appeals to the nature of the divine. There is in fact a single continuous series of living things that includes gods, humans, animals, and plants, all of them in a way divine. Aristotle has this continuum of divine beings, (...)
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  39. Democritus (c. 460 - c. 370 BCE).Monte Johnson - 2011 - Classical and Medieval Literature Criticism 136:257-259.
    Encyclopedia article on Democritus. Includes a brief overview of his philosophical views, major works, and critical reception.
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  40. A three-valued interpretation for a relevance logic.Fred Johnson - 1976 - The Relevance Logic Newsletter 1 (3):123-128.
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  41. A Hybrid Theory of Ethical Thought and Discourse.Drew Johnson - 2022 - Dissertation, University of Connecticut
    What is it that we are doing when we make ethical claims and judgments, such as the claim that we morally ought to assist refugees? This dissertation introduces and defends a novel theory of ethical thought and discourse. I begin by identifying the surface features of ethical thought and discourse to be explained, including the realist and cognitivist (i.e. belief-like) appearance of ethical judgments, and the apparent close connection between making a sincere ethical judgment and being motivated to act on (...)
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  42. Biology and Theology in Aristotle's Theoretical and Practical Sciences.Monte Johnson - 2021 - In Sophia M. Connell (ed.), The Cambridge Companion to Aristotle's Biology. New York, NY: Cambridge University Press. pp. 12-29.
    Biology and theology are interdependent theoretical sciences for Aristotle. In prominent discussions of the divine things (the stars and their unmoved movers) Aristotle appeals to the science of living things, and in prominent discussions of the nature of plants and animals Aristotle appeals to the nature of the divine. There is in fact a single continuous series of living things that includes gods, humans, animals, and plants, all of them in a way divine. Aristotle has this continuum of divine beings, (...)
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  43. Three-membered domains for Aristotle's syllogistic.Fred Johnson - 1991 - Studia Logica 50 (2):181 - 187.
    The paper shows that for any invalid polysyllogism there is a procedure for constructing a model with a domain with exactly three members and an interpretation that assigns non-empty, non-universal subsets of the domain to terms such that the model invalidates the polysyllogism.
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  44. Meteorology.Monte Johnson - 2020 - In Liba Taub (ed.), The Cambridge Companion to Ancient Greek and Roman Science. Cambridge University Press. pp. 160-184.
    Greco-Roman meteorology will be described in four overlapping developments. In the archaic period, astro-meteorological calendars were written down, and one appears in Hesiod’s Works and Days; such calendars or almanacs originated thousands of years earlier in Mesopotamia. In the second development, also in the archaic period, the pioneers of prose writing began writing speculative naturalistic explanations of meteorological phenomena: Anaximander, followed by Heraclitus, Anaxagoras, and others. When Aristotle in the fourth century BCE mentions the ‘inquiry that all our predecessors have (...)
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  45. A New Take on Deceptive Advertising.Andrew Johnson - 2010 - Business and Professional Ethics Journal 29 (1-4):5-32.
    The publication of Harry Frankfurt’s 1986 essay “On Bullshit,” and especially its republication as a book in 2005, have sparked a great deal of interest in the philosophical analysis of the concept of bullshit. The present essay seeks to contribute to the ever-widening discussion of the concept by applying it to the realm of advertising. First, it is argued that Frankfurt’s definition of bullshit is too narrow, and an alternative definition is defended that accommodates both Frankfurt’s truth-indifferent bullshit and what (...)
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  46. Why did Aristotle invent the material cause ? The early development of the concept of hê hylê.Monte Ransome Johnson - 2020 - In Pierre Pellegrin & Françoise Graziani (eds.), L'HÉRITAGE D'ARISTOTE AUJOURD'HUI : NATURE ET SOCIÉTÉ. Alessandria: Editzioni dell'Orso. pp. 59-86.
    I present a developmental account of Aristotle’s concept of hê hylê (usually translated “the matter”), focused the earliest developments. I begin by analyzing fragments of some lost early works and a chapter of the Organon, texts which indicate that early in his career Aristotle had not yet begun to use he hylê in a technical sense. Next, I examine Physics II 3, a chapter in which Aristotle conceives of he hylê not as a kind of cause in its own right, (...)
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  47. The Medical Background of Aristotle's Theory of Nature and Spontaneity.Monte Johnson - 2012 - Proceedings of the Boston Area Colloquium of Ancient Philosophy 27:105-152.
    An appreciation of the "more philosophical" aspects of ancient medical writings casts considerable light on Aristotle's concept of nature, and how he understands nature to differ from art, on the one hand, and spontaneity or luck, on the other. The account of nature, and its comparison with art and spontaneity in Physics II is developed with continual reference to the medical art. The notion of spontaneous remission of disease (without the aid of the medical art) was a controversial subject in (...)
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  48. The Aristotelian Explanation of the Halo.Monte Ransome Johnson - 2009 - Apeiron 42 (4):325-357.
    For an Aristotelian observer, the halo is a puzzling phenomenon since it is apparently sublunary, and yet perfectly circular. This paper studies Aristotle's explanation of the halo in Meteorology III 2-3 as an optical illusion, as opposed to a substantial thing (like a cloud), as was thought by his predecessors and even many successors. Aristotle's explanation follows the method of explanation of the Posterior Analytics for "subordinate" or "mixed" mathematical-physical sciences. The accompanying diagram described by Aristotle is one of the (...)
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  49. Apodeictic syllogisms: Deductions and decision procedures.Fred Johnson - 1995 - History and Philosophy of Logic 16 (1):1-18.
    One semantic and two syntactic decision procedures are given for determining the validity of Aristotelian assertoric and apodeictic syllogisms. Results are obtained by using the Aristotelian deductions that necessarily have an even number of premises.
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  50. Rejection and Truth-Value Gaps.Fred Johnson - 1999 - Notre Dame Journal of Formal Logic 40 (4):574-577.
    A theorem due to Shoesmith and Smiley that axiomatizes two-valued multiple-conclusion logics is extended to partial logics.
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