Results for 'Dudeney, Bennett, geometrical dissections'

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  1. Dudeney's Mathematical Perplexities I.Andrew English - forthcoming - Mathematics in School.
    Henry E. Dudeney (1857-1930) was, according to pure mathematician G. H. Hardy (1877-1947), one of England’s “better makers of puzzles”. His “Perplexities” column, a regular feature in The Strand Magazine between 1910 and 1930, not only gave recreational mathematicians what they wanted – an “intellectual ‘kick’” – but also occasioned the odd sparkling display of intellect from professionals. Dudeney’s geometrical dissection puzzles are a case in point, though his ingenious solutions sometimes betray a lack of clarity about the difference (...)
     
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  2.  69
    The Role of Spatial Appearances in Achieving Spatial-Geometric Perceptual Constancy.David J. Bennett - 2016 - Philosophical Topics 44 (2):1-41.
    Long tradition in philosophy and in empirical psychology has it that the perceptual recovery of enduring objective size and shape proceeds through initial spatial appearance experiences—like the sensed changing visual field size of a receding car, or the shifting shape appearance of a coin as it rotates in depth. The present paper carefully frames and then critically examines such proposals. It turns out that these are contingent, empirical matters, requiring close examination of relevant research in perception science in order to (...)
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  3.  48
    Geometry and surveying in early-seventeenth-century England.J. A. Bennett - 1991 - Annals of Science 48 (4):345-354.
    In the late sixteenth century a number of mathematicians tried to introduce geometrical methods into surveying practice, to be based on simplified astronomical instruments, angle measurement, and triangulation. A measure of success is indicated by the acceptance of the simple theodolite, but the surveyors resisted such complex instruments as the altazimuth theodolite, recipiangle, and trigonometer. Counter-proposals, in particular the plane table, threatened to undermine the geometrical programme, but by the mid-seventeenth century a stable compromise had evolved. Among other (...)
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  4.  45
    Geometry in Context in the Sixteenth Century: the View From the Museum.Jim Bennett - 2002 - Early Science and Medicine 7 (3):214-230.
    This paper examines the discrepancy between the attitudes of many historians of mathematics to sixteenth-century geometry and those of museum curators and others interested in practical mathematics and in instruments. It argues for the need to treat past mathematical practice, not in relation to timeless criteria of mathematical worth, but according to the agenda of the period. Three examples of geometrical activity are used to illustrate this, and two particular contexts are presented in which mathematical practice localised in the (...)
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  5.  44
    Measuring up the World in Size and Distance Perception.David J. Bennett - 2024 - Erkenntnis 89 (2):521-543.
    An empirically based view of size and distance perceptual content and phenomenology is introduced, in which perceivers measure worldly size and distance against their bodies. Central principles of the formal, representational theory of the measurement of extensive magnitudes are then applied in framing the account in a precise way. The question of whether spatial-perceptual experience is “unit-free” is clarified. The framework is used to assess Dennis Proffitt's proposal that spatial setting is perceived in various “units,” “scales,” or “rulers”, some of (...)
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  6.  94
    The rhetoric of the geometrical method: Spinoza's double strategy.Christopher P. Long - 2001 - Philosophy and Rhetoric 34 (4):292-307.
    In lieu of an abstract, here is a brief excerpt of the content:Philosophy and Rhetoric 34.4 (2001) 292-307 [Access article in PDF] The Rhetoric of the Geometrical Method Spinoza's Double Strategy Christopher P. Long A double strategy may be apprehended in the first definitions, axioms and propositions of Spinoza's Ethics: the one is rhetorical, the other, systematic. Insofar as these opening passages constitute a geometrical argument that leads ultimately to the strict monism that lies at the heart of (...)
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  7.  15
    Da Vinci’s Mental Code: Sacred Geometrics Identified within Psychology.Craig Matheson - 2024 - Open Journal of Philosophy 14 (1):38-53.
    Objective: Based upon notions to a mental vision of the Vitruvian Man, to determine if any obvious asymmetries exist within Leonardo da Vinci’s timeless schematic—which is famous for its highly symmetrical presentation. Methods: A qualitative analysis performed upon a Vitruvian Man print (taken from the namesake Wikipedia article) to: closely examine if the man’s head is positioned to noticeably tilt toward either direction—left or right—of a dissecting line superimposed for equally splitting (vertically) the circle in the schematic; and, to closely (...)
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  8.  22
    Open sets satisfying systems of congruences.Randall Dougherty - 2001 - Journal of Mathematical Logic 1 (2):247-303.
    A famous result of Hausdorff states that a sphere with countably many points removed can be partitioned into three pieces A, B, C such that A is congruent to B, B is congruent to C, and A is congruent to B ∪ C; this result was the precursor of the Banach–Tarski paradox. Later, R. Robinson characterized the systems of congruences like this which could be realized by partitions of the sphere with rotations witnessing the congruences. The pieces involved were nonmeasurable. (...)
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  9.  82
    Examining American Bioethics: Its Problems and Prospects.Renée C. Fox & Judith P. Swazey - 2005 - Cambridge Quarterly of Healthcare Ethics 14 (4):361-373.
    In 1986, philosopher-bioethicist Samuel Gorovitz published an essay entitled “Baiting Bioethics,” in which he reported on various criticisms of bioethics that were “in print, or voiced in and around … the field” at that time, and set forth his assessment of their legitimacy. He gave detailed attention to what he judged to be the particularly fierce and “irresponsible attacks” on “the moral integrity” and soundness of bioethics contained in two papers: “Getting Ethics” by philosopher William Bennett and “Medical Morality Is (...)
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  10. By Our Bootstraps.Karen Bennett - 2011 - Philosophical Perspectives 25 (1):27-41.
    Recently much has been made of the grounding relation, and of the idea that it is intimately tied to fundamentality. If A grounds B, then A is more fundamental than B (though not vice versa ), and A is ungrounded if and only if it is fundamental full stop—absolutely fundamental. But here is a puzzle: is grounding itself absolutely fundamental?
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  11. Why the exclusion problem seems intractable and how, just maybe, to tract it.Karen Bennett - 2003 - Noûs 37 (3):471-97.
    The basic form of the exclusion problem is by now very, very familiar. 2 Start with the claim that the physical realm is causally complete: every physical thing that happens has a sufficient physical cause. Add in the claim that the mental and the physical are distinct. Toss in some claims about overdetermination, give it a stir, and voilá—suddenly it looks as though the mental never causes anything, at least nothing physical. As it is often put, the physical does all (...)
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  12. Spatio-temporal coincidence and the grounding problem.Karen Bennett - 2004 - Philosophical Studies 118 (3):339-371.
    A lot of people believe that distinct objects can occupy precisely the same place for the entire time during which they exist. Such people have to provide an answer to the 'grounding problem' – they have to explain how such things, alike in so many ways, nonetheless manage to fall under different sortals, or have different modal properties. I argue in detail that they cannot say that there is anything in virtue of which spatio-temporally coincident things have those properties. However, (...)
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  13.  6
    Problems of Analysis.Jonathan Bennett - 1956 - Philosophical Quarterly 6 (22):90-91.
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  14. Exclusion again.Karen Bennett - 2008 - In Jakob Hohwy & Jesper Kallestrup (eds.), Being Reduced: New Essays on Reduction, Explanation, and Causation. New York: Oxford University Press. pp. 280--307.
    I think that there is an awful lot wrong with the exclusion problem. So, it seems, does just about everybody else. But of course everyone disagrees about exactly _what_ is wrong with it, and I think there is more to be said about that. So I propose to say a few more words about why the exclusion problem is not really a problem after all—at least, not for the nonreductive physicalist. The genuine _dualist_ is still in trouble. Indeed, one of (...)
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  15.  24
    New Essays on the Rationalists (review).Steven M. Nadler - 2000 - Journal of the History of Philosophy 38 (3):437-439.
    In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:New Essays on the RationalistsSteven NadlerRocco J. Gennaro and Charles Huenemann, editors. New Essays on the Rationalists. Oxford: Oxford University Press, 1999. Pp. xvii + 391. Cloth, $60.00.Here is yet another collection of essays on early modern philosophy. The focus this time is on the Seventeenth century, in particular "the rationalists." What this apparently involves is, as the old-fashioned classification has it, Descartes, Spinoza, and Leibniz. But there (...)
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  16. Mental Causation.Karen Bennett - 2007 - Philosophy Compass 2 (2):316-337.
    Concerns about ‘mental causation’ are concerns about how it is possible for mental states to cause anything to happen. How does what we believe, want, see, feel, hope, or dread manage to cause us to act? Certain positions on the mind-body problem—including some forms of physicalism—make such causation look highly problematic. This entry sketches several of the main reasons to worry, and raises some questions for further investigation.
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  17.  86
    The question of animal culture.Bennett G. Galef - 1992 - Human Nature 3 (2):157-178.
    In this paper I consider whether traditional behaviors of animals, like traditions of humans, are transmitted by imitation learning. Review of the literature on problem solving by captive primates, and detailed consideration of two widely cited instances of purported learning by imitation and of culture in free-living primates (sweet-potato washing by Japanese macaques and termite fishing by chimpanzees), suggests that nonhuman primates do not learn to solve problems by imitation. It may, therefore, be misleading to treat animal traditions and human (...)
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  18.  3
    Quotation.J. Bennett - unknown - Wiley.
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  19. Having a Part Twice Over.Karen Bennett - 2013 - Australasian Journal of Philosophy 91 (1):83 - 103.
    I argue that it is intuitive and useful to think about composition in the light of the familiar functionalist distinction between role and occupant. This involves factoring the standard notion of parthood into two related notions: being a parthood slot and occupying a parthood slot. One thing is part of another just in case it fills one of that thing's parthood slots. This move opens room to rethink mereology in various ways, and, in particular, to see the mereological structure of (...)
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  20. Identity and cardinality: Geach and Frege.William P. Alston & Jonathan Bennett - 1984 - Philosophical Review 93 (4):553-567.
    P. T. Geach, notoriously, holds the Relative Identity Thesis, according to which a meaningful judgment of identity is always, implicitly or explicitly, relative to some general term. ‘The same’ is a fragmentary expression, and has no significance unless we say or mean ‘the same X’, where ‘X’ represents a general term (what Frege calls a Begriffswort or Begriffsausdruck). (P. T. Geach, Mental Acts (London: Routledge and Kegan Paul, 1957), p. 69. I maintain that it makes no sense to judge whether (...)
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  21. Counterfactuals and temporal direction.Jonathan Bennett - 1984 - Philosophical Review 93 (1):57-91.
  22. (1 other version)Rationality.Jonathan Bennett - 1965 - Philosophy 40 (152):178-179.
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  23. Why I am not a dualist.Karen Bennett - 2021 - Oxford Studies in Philosophy of Mind 1:208-231.
    I argue that dualism does not help assuage the perceived explanatory failure of physicalism. I begin with the claim that a minimally plausible dualism should only postulate a small stock of fundamental phenomenal properties and fundamental psychophysical laws: it should systematize the teeming mess of phenomenal properties and psychophysical correlations. I then argue that it is dialectically odd to think that empirical investigation could not possibly reveal a physicalist explanation of consciousness, and yet can reveal this small stock of fundamental (...)
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  24.  49
    A Duty to Deceive: Placebos in Clinical Practice.Bennett Foddy - 2009 - American Journal of Bioethics 9 (12):4-12.
    Among medical researchers and clinicians the dominant view is that it is unethical to deceive patients by prescribing a placebo. This opinion is formalized in a recent policy issued by the American Medical Association (AMA [Chicago, IL]). Although placebos can be shown to be always safe, often effective, and sometimes necessary, doctors are now effectively prohibited from using them in clinical practice. I argue that the deceptive administration of placebos is not subject to the same moral objections that face other (...)
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  25. Notes on Landauer's principle, reversible computation, and Maxwell's Demon.Charles H. Bennett - 2003 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 34 (3):501-510.
    Landauer's principle, often regarded as the basic principle of the thermodynamics of information processing, holds that any logically irreversible manipulation of information, such as the erasure of a bit or the merging of two computation paths, must be accompanied by a corresponding entropy increase in non-information-bearing degrees of freedom of the information-processing apparatus or its environment. Conversely, it is generally accepted that any logically reversible transformation of information can in principle be accomplished by an appropriate physical mechanism operating in a (...)
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  26. Addiction and autonomy: Can addicted people consent to the prescription of their drug of addiction?Bennett Foddy & Julian Savulescu - 2005 - Bioethics 20 (1):1–15.
    It is often claimed that the autonomy of heroin addicts is compromised when they are choosing between taking their drug of addiction and abstaining. This is the basis of claims that they are incompetent to give consent to be prescribed heroin. We reject these claims on a number of empirical and theoretical grounds. First we argue that addicts are likely to be sober, and thus capable of rational thought, when approaching researchers to participate in research. We reject behavioural evidence purported (...)
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  27. Logical depth and physical complexity.C. H. Bennett - 1992 - In Rolf Herken (ed.), The Universal Turing Machine. A Half-Century Survey. Presses Universitaires de France. pp. 227-257.
     
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  28. Proxy “Actualism”.Karen Bennett - 2006 - Philosophical Studies 129 (2):263-294.
    Bernard Linsky and Edward Zalta have recently proposed a new form of actualism. I characterize the general form of their view and the motivations behind it. I argue that it is not quite new – it bears interesting similarities to Alvin Plantinga’s view – and that it definitely isn’t actualist.
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  29. Substance, reality, and primary qualities.Jonathan Bennett - 1965 - American Philosophical Quarterly 2 (1):1-17.
  30. Divine Ineffability.Guy Bennett-Hunter - 2015 - Philosophy Compass 10 (7):489-500.
    Though largely neglected by philosophers, the concept of ineffability is integral to the Christian mystical tradition, and has been part of almost every philosophical discussion of religious experience since the early twentieth century. After a brief introduction, this article surveys the most important discussions of divine ineffability, observing that the literature presents two mutually reinforcing obstacles to a coherent account of the concept, creating the impression that philosophical reflection on the subject had reached an impasse. The article goes on to (...)
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  31. The Enchantment of Modern Life: Attachments, Crossings, and Ethics.Jane Bennett & Wendy Brown - 2001 - Political Theory 31 (3):461-470.
  32. Even if.Jonathan Bennett - 1982 - Linguistics and Philosophy 5 (3):403 - 418.
  33.  2
    The relations of learning.William Bennett Bizzell - 1934 - Norman,: University of Oklahoma press.
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  34. Ineffability: Reply to Professors Metz and Cooper.Guy Bennett-Hunter - 2016 - Philosophia 44 (4):1267–1287.
    In the first two sections of this reply article, I provide a brief introduction to the topic of ineffability and a summary of Ineffability and Religious Experience. This is followed, in section 3, by some reflections in reply to the response articles by Professors Metz and Cooper. Section 4 presents some concluding remarks on the future of philosophy of religion in the light of the most recent philosophical work on ineffability.
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  35.  65
    The Significance of Emotions.Bennett W. Helm - 1994 - American Philosophical Quarterly 31 (4):319-331.
    We must distinguish between a capacity for goal-directedness of a sort found in chess-playing computers and a capacity for robust desire, which involves finding there being something in favor of the relevant course of action in light of its significance to the subject. Existing accounts of desire, especially those given in terms of instrumental rationality, either ignore or presuppose such significance, in both cases failing to give an adequate account of robust desire. My positive thesis in this paper is that (...)
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  36. 4 Locke's philosophy of mind.Jonathan Bennett - 1994 - In Vere Chappell (ed.), The Cambridge companion to Locke. New York: Cambridge University Press. pp. 89.
  37. Experiments in Distributive Justice and Their Limits.Michael Bennett - 2016 - Critical Review: A Journal of Politics and Society 28 (3-4):461-483.
    Mark Pennington argues political systems should be decentralized in order to facilitate experimental learning about distributive justice. Pointing out the problems with Pennington's Hayekian formulation, I reframe his argument as an extension of the Millian idea of 'experiments in living.' However, the experimental case for decentralization is limited in several ways. Even if decentralization improves our knowledge about justice, it impedes the actual implementation of all conceptions of justice other than libertarianism. I conclude by arguing for the compatibility of egalitarian (...)
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  38. A Report on the Edinburgh Gifford Lectures 2024.Guy Bennett-Hunter - 2024 - Expository Times 235 (9):363-365.
    A report on Cornel West's Edinburgh Gifford Lectures 2024: "A Jazz-soaked Philosophy for our Catastrophic Times: From Socrates to Coltrane".
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  39.  78
    There Can Be No Moral Obligation to Eradicate All Disability.Rebecca Bennett - 2014 - Cambridge Quarterly of Healthcare Ethics 23 (1):30-40.
  40.  82
    Routine antenatal HIV testing and informed consent: an unworkable marriage?R. Bennett - 2007 - Journal of Medical Ethics 33 (8):446-448.
    This paper considers the ethics of routine antenatal HIV testing and the role of informed consent within such a policy in order to decide how we should proceed in this area—a decision that ultimately rests on the relative importance we give to public health goals on the one hand and respect for individual autonomy on the other.A recent illuminating qualitative study by Zulueta and Boulton1 explores the practicalities of informed consent in routine antenatal HIV testing. Its results support what I (...)
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  41. A Memoir of My Reading.Bennett Gilbert - 2024 - On_Culture 16 (16).
    Surveying nearly seven decades of habitual and obsessive reading, I consider how my character and psychology used reading to shape philosophical questions that move me into forms in which I could pursue them by reading. This became both the method and the substance of my philosophical work. It preserved some core emotional issues but also gave me the way to integrate them into scholarship and into my life.
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  42.  34
    Is the public's ignorance of politics trivial?Stephen Earl Bennett - 2003 - Critical Review: A Journal of Politics and Society 15 (3-4):307-337.
    Examination of a comprehensive database of political knowledge, constructed from pooled 1988 and 1992 National Election Studies, refutes criticisms that haue sometimes been lodged against standard tests that seem to reveal profound levels of public ignorance. Although most people know something about politics, the typical citizen is poorly informed, and only a small group is very knowledgeable about politics. Differentiating people according to their perceptions of the most important national problem does not reveal pockets of well‐informed “issue publics” among the (...)
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  43. Real.Jonathan Bennett - 1966 - Mind 75 (300):501-515.
    Philosophers have often sought criteria for a general distinction between appearance and reality. In chapter VII of Sense and Sensibilia, J. L. Austin claims to show that this enterprise is radically misconceived; and, characteristically, he bases his argument on the niceties of the use of ‘real’ in English. I shall try to show (1) that Austin’s account of how ‘real’ is used is muddled and inaccurate; and (2) that the uses of ‘real’ which Austin explores are irrelevant to the traditional (...)
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  44.  23
    A poststructuralist who still believes in structures: interview with John Allen.J. Allen & T. Bennett - unknown
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  45.  26
    Comparative Semitic Linguistics: A Manual.Walter R. Bodine & Patrick R. Bennett - 2000 - Journal of the American Oriental Society 120 (3):479.
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  46.  9
    New Essays on Human Understanding Abridged Edition.Peter Remnant & Jonathan Bennett (eds.) - 1982 - Cambridge University Press.
    This is an abridgement of the complete translation of the New Essays, first published in 1981, designed for use as a study text. The material extraneous to philosophy - more than a third of the original - and the glossary of notes have been cut and a philosophical introduction and bibliography of work on Leibniz have been provided by the translators. The marginal pagination has been retained for ease of cross-reference to the full edition. The work itself is an acknowledged (...)
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  47.  58
    Shooting, Killing and Dying.Jonathan Bennett - 1973 - Canadian Journal of Philosophy 2 (3):315 - 323.
    There was a duel at dawn between A and B. A shot B, who lingered on until dusk of that day, and then died of his bulletwound. Certain background conditions are satisfied which make it right to say not just that A caused B's death but that he killed him. So, A shot B and killed him. This seems to be structurally different from "A shot B and he kicked him," but what is this structural difference? How does the shooting (...)
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  48. Considering Capital Punishment as a Human Interaction.Christopher Bennett - 2013 - Criminal Law and Philosophy 7 (2):367-382.
    This paper contributes to the normative debate over capital punishment by looking at whether the role of executioner is one in which it is possible and proper to take pride. The answer to the latter question turns on the kind of justification the agent can give for what she does in carrying out the role. So our inquiry concerns whether the justifications available to an executioner could provide him with the kind of justification necessary for him to take pride in (...)
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  49.  36
    On the nature and origin of complexity in discrete, homogeneous, locally-interacting systems.Charles H. Bennett - 1986 - Foundations of Physics 16 (6):585-592.
    The observed complexity of nature is often attributed to an intrinsic propensity of matter to self-organize under certain (e.g., dissipative) conditions. In order better to understand and test this vague thesis, we define complexity as “logical depth,” a notion based on algorithmic information and computational time complexity. Informally, logical depth is the number of steps in the deductive or causal path connecting a thing with its plausible origin. We then assess the effects of dissipation, noise, and spatial and other symmetries (...)
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  50.  59
    Rich Addiction.Bennett Gilbert - 2024 - Subjectivity 31.
    Examining the author’s own experiences of narcotics addiction reveals certain aspects of the addicted mentality that have strong ethical valence. In general, this shows that addiction is not a state fundamentally characterized by lack. The rudiments of this position are found in some contemporary philosophy of addiction; also, it is contrasted with a common widely held mistaken view. Addiction should instead be understood in continuity with and as illuminating the nature of human personhood and subjectivity. Under a phenomenology specific to (...)
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