Results for 'Yaroslav D. Sergeyev'

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Yaroslav Sergeyev
Università della Calabria
  1. A New Applied Approach for Executing Computations with Infinite and Infinitesimal Quantities.Yaroslav D. Sergeyev - 2008 - Informatica 19 (4):567-596.
    A new computational methodology for executing calculations with infinite and infinitesimal quantities is described in this paper. It is based on the principle ‘The part is less than the whole’ introduced by Ancient Greeks and applied to all numbers (finite, infinite, and infinitesimal) and to all sets and processes (finite and infinite). It is shown that it becomes possible to write down finite, infinite, and infinitesimal numbers by a finite number of symbols as particular cases of a unique framework. The (...)
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  2.  89
    Independence of the Grossone-Based Infinity Methodology From Non-Standard Analysis and Comments Upon Logical Fallacies in Some Texts Asserting the Opposite.Yaroslav D. Sergeyev - 2019 - Foundations of Science 24 (1):153-170.
    This paper considers non-standard analysis and a recently introduced computational methodology based on the notion of ①. The latter approach was developed with the intention to allow one to work with infinities and infinitesimals numerically in a unique computational framework and in all the situations requiring these notions. Non-standard analysis is a classical purely symbolic technique that works with ultrafilters, external and internal sets, standard and non-standard numbers, etc. In its turn, the ①-based methodology does not use any of these (...)
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  3. The Olympic Medals Ranks, Lexicographic Ordering and Numerical Infinities.Yaroslav Sergeyev - 2015 - The Mathematical Intelligencer 37 (2):4-8.
    Several ways used to rank countries with respect to medals won during Olympic Games are discussed. In particular, it is shown that the unofficial rank used by the Olympic Committee is the only rank that does not allow one to use a numerical counter for ranking – this rank uses the lexicographic ordering to rank countries: one gold medal is more precious than any number of silver medals and one silver medal is more precious than any number of bronze medals. (...)
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  4. The Exact (Up to Infinitesimals) Infinite Perimeter of the Koch Snowflake and its Finite Area.Yaroslav Sergeyev - 2016 - Communications in Nonlinear Science and Numerical Simulation 31 (1-3):21–29.
    The Koch snowflake is one of the first fractals that were mathematically described. It is interesting because it has an infinite perimeter in the limit but its limit area is finite. In this paper, a recently proposed computational methodology allowing one to execute numerical computations with infinities and infinitesimals is applied to study the Koch snowflake at infinity. Numerical computations with actual infinite and infinitesimal numbers can be executed on the Infinity Computer being a new supercomputer patented in USA and (...)
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  5. Numerical Infinities and Infinitesimals: Methodology, Applications, and Repercussions on Two Hilbert Problems.Yaroslav Sergeyev - 2017 - EMS Surveys in Mathematical Sciences 4 (2):219–320.
    In this survey, a recent computational methodology paying a special attention to the separation of mathematical objects from numeral systems involved in their representation is described. It has been introduced with the intention to allow one to work with infinities and infinitesimals numerically in a unique computational framework in all the situations requiring these notions. The methodology does not contradict Cantor’s and non-standard analysis views and is based on the Euclid’s Common Notion no. 5 “The whole is greater than the (...)
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  6. Solving Ordinary Differential Equations by Working with Infinitesimals Numerically on the Infinity Computer.Yaroslav Sergeyev - 2013 - Applied Mathematics and Computation 219 (22):10668–10681.
    There exists a huge number of numerical methods that iteratively construct approximations to the solution y(x) of an ordinary differential equation (ODE) y′(x) = f(x,y) starting from an initial value y_0=y(x_0) and using a finite approximation step h that influences the accuracy of the obtained approximation. In this paper, a new framework for solving ODEs is presented for a new kind of a computer – the Infinity Computer (it has been patented and its working prototype exists). The new computer is (...)
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  7.  54
    Numerical Infinities Applied for Studying Riemann Series Theorem and Ramanujan Summation.Yaroslav Sergeyev - 2018 - In AIP Conference Proceedings 1978. AIP. pp. 020004.
    A computational methodology called Grossone Infinity Computing introduced with the intention to allow one to work with infinities and infinitesimals numerically has been applied recently to a number of problems in numerical mathematics (optimization, numerical differentiation, numerical algorithms for solving ODEs, etc.). The possibility to use a specially developed computational device called the Infinity Computer (patented in USA and EU) for working with infinite and infinitesimal numbers numerically gives an additional advantage to this approach in comparison with traditional methodologies studying (...)
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  8. Higher Order Numerical Differentiation on the Infinity Computer.Yaroslav Sergeyev - 2011 - Optimization Letters 5 (4):575-585.
    There exist many applications where it is necessary to approximate numerically derivatives of a function which is given by a computer procedure. In particular, all the fields of optimization have a special interest in such a kind of information. In this paper, a new way to do this is presented for a new kind of a computer - the Infinity Computer - able to work numerically with finite, infinite, and infinitesimal number. It is proved that the Infinity Computer is able (...)
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  9. Using Blinking Fractals for Mathematical Modelling of Processes of Growth in Biological Systems.Yaroslav Sergeyev - 2011 - Informatica 22 (4):559–576.
    Many biological processes and objects can be described by fractals. The paper uses a new type of objects – blinking fractals – that are not covered by traditional theories considering dynamics of self-similarity processes. It is shown that both traditional and blinking fractals can be successfully studied by a recent approach allowing one to work numerically with infinite and infinitesimal numbers. It is shown that blinking fractals can be applied for modeling complex processes of growth of biological systems including their (...)
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  10. Interpretation of Percolation in Terms of Infinity Computations.Yaroslav Sergeyev, Dmitri Iudin & Masaschi Hayakawa - 2012 - Applied Mathematics and Computation 218 (16):8099-8111.
    In this paper, a number of traditional models related to the percolation theory has been considered by means of new computational methodology that does not use Cantor’s ideas and describes infinite and infinitesimal numbers in accordance with the principle ‘The part is less than the whole’. It gives a possibility to work with finite, infinite, and infinitesimal quantities numerically by using a new kind of a compute - the Infinity Computer – introduced recently in [18]. The new approach does not (...)
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  11.  57
    The Difficulty of Prime Factorization is a Consequence of the Positional Numeral System.Yaroslav Sergeyev - 2016 - International Journal of Unconventional Computing 12 (5-6):453–463.
    The importance of the prime factorization problem is very well known (e.g., many security protocols are based on the impossibility of a fast factorization of integers on traditional computers). It is necessary from a number k to establish two primes a and b giving k = a · b. Usually, k is written in a positional numeral system. However, there exists a variety of numeral systems that can be used to represent numbers. Is it true that the prime factorization is (...)
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  12. Single-Tape and Multi-Tape Turing Machines Through the Lens of the Grossone Methodology.Yaroslav Sergeyev & Alfredo Garro - 2013 - Journal of Supercomputing 65 (2):645-663.
    The paper investigates how the mathematical languages used to describe and to observe automatic computations influence the accuracy of the obtained results. In particular, we focus our attention on Single and Multi-tape Turing machines which are described and observed through the lens of a new mathematical language which is strongly based on three methodological ideas borrowed from Physics and applied to Mathematics, namely: the distinction between the object (we speak here about a mathematical object) of an observation and the instrument (...)
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  13.  17
    UN SEMPLICE MODO PER TRATTARE LE GRANDEZZE INFINITE ED INFINITESIME.Yaroslav Sergeyev - 2015 - la Matematica Nella Società E Nella Cultura: Rivista Dell’Unione Matematica Italiana, Serie I 8:111-147.
    A new computational methodology allowing one to work in a new way with infinities and infinitesimals is presented in this paper. The new approach, among other things, gives the possibility to calculate the number of elements of certain infinite sets, avoids indeterminate forms and various kinds of divergences. This methodology has been used by the author as a starting point in developing a new kind of computer – the Infinity Computer – able to execute computations and to store in its (...)
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  14. Natural Deduction for Three-Valued Regular Logics.Yaroslav Petrukhin - 2017 - Logic and Logical Philosophy 26 (2):197–206.
    In this paper, I consider a family of three-valued regular logics: the well-known strong and weak S.C. Kleene’s logics and two intermedi- ate logics, where one was discovered by M. Fitting and the other one by E. Komendantskaya. All these systems were originally presented in the semantical way and based on the theory of recursion. However, the proof theory of them still is not fully developed. Thus, natural deduction sys- tems are built only for strong Kleene’s logic both with one (...)
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  15.  26
    Силлогизм О Добродетельных Мудрецах.Yaroslav Slinin - 2018 - Schole 12 (1):63-71.
    The article deals with the Aristotelian doctrine of induction and its influence on the theory of induction of Al-Farabi. Inductive syllogisms of antiquity and the Middle Ages are compared with modern inferences by induction.
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  16. Beyond a Western Bioethics: Voices From the Developing World: Edited by A T Alora, J M Lumitao, Preface by E D Pellegrino, Introduction by H T Engelhardt. Georgetown University Press, 2001, 44.50, $59.95, Pp 162. ISBN 0-87840-874-6. [REVIEW]D. Dickenson - 2003 - Journal of Medical Ethics 29 (4):e5-e5.
    Review of collection of papers, primarily concerning the Phillipines, edited by H.T. Engelhardt and introduced by E. Pellegrino.
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  17.  97
    Descartes et Les manuscrits de snellius: D'après quelques documents nouveaux.J. Golius & D. J. Korteweg - 1896 - Revue de Métaphysique et de Morale 4 (4):489 - 501.
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  18. Intrinsicality Without Naturalness.D. Gene Witmer, William Butchard & Kelly Trogdon - 2005 - Philosophy and Phenomenological Research 70 (2):326–350.
    Defense of an account of intrinsic properties in terms of (what is now called) grounding rather than naturalness.
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  19. Racial Justice Requires Ending the War on Drugs.Brian D. Earp, Jonathan Lewis & Carl L. Hart - 2021 - American Journal of Bioethics 21 (4):4-19.
    Historically, laws and policies to criminalize drug use or possession were rooted in explicit racism, and they continue to wreak havoc on certain racialized communities. We are a group of bioethicists, drug experts, legal scholars, criminal justice researchers, sociologists, psychologists, and other allied professionals who have come together in support of a policy proposal that is evidence-based and ethically recommended. We call for the immediate decriminalization of all so-called recreational drugs and, ultimately, for their timely and appropriate legal regulation. We (...)
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  20.  70
    Approche de la Corrosion d'Analogues Archéologiques Ferreux Par Spectroscopie Raman Et Méthodes Électrochimiques'.E. Pons, S. Joiret, A. Hugot-Le-Goff, D. David & C. Lemaître - 2003 - Techne 18:94-100.
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  21.  70
    Major, John S., Sarah A. Queen, Andrew Seth Meyer, and Harold D. Roth (Translators and Editors), The Huainanzi, A Guide to the Theory and Practice of Government in Early Han China of L Iu An, King of Huainan, New York: Columbia University Press, 2010, Xi + 986 Pages and Major, John S., Sarah A. Queen, Andrew Seth Meyer, and Harold D. Roth (Translators and Editors), The Essential Huainanzi of L Iu An, King of Huainan, New York: Columbia University Press, 2012, Vii + 252 Pages. [REVIEW]James D. Sellmann - 2013 - Dao: A Journal of Comparative Philosophy 12 (2):267-270.
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  22. Challenges to the Hypothesis of Extended Cognition.Robert D. Rupert - 2004 - Journal of Philosophy 101 (8):389-428.
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  23. “I’D Rather Be Dead Than Disabled”—The Ableist Conflation and the Meanings of Disability.Joel Michael Reynolds - 2017 - Review of Communication 17 (3):149-63.
    Despite being assailed for decades by disability activists and disability studies scholars spanning the humanities and social sciences, the medical model of disability—which conceptualizes disability as an individual tragedy or misfortune due to genetic or environmental insult—still today structures many cases of patient–practitioner communication. Synthesizing and recasting work done across critical disability studies and philosophy of disability, I argue that the reason the medical model of disability remains so gallingly entrenched is due to what I call the “ableist conflation” of (...)
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  24. 7. “Book Review: Lewis D. Solomon The Privatization of Space Exploration“. [REVIEW]Timothy D. Terrell - 2012 - Libertarian Papers 4:147-150.
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  25. Heidegger, Art, and Postmodernity.Iain D. Thomson - 2011 - Cambridge University Press.
    Heidegger, Art, and Postmodernity offers a radical new interpretation of Heidegger's later philosophy, developing his argument that art can help lead humanity beyond the nihilistic ontotheology of the modern age. Providing pathbreaking readings of Heidegger's 'The Origin of the Work of Art' and his notoriously difficult Contributions to Philosophy, this book explains precisely what postmodernity meant for Heidegger, the greatest philosophical critic of modernity, and what it could still mean for us today. Exploring these issues, Iain D. Thomson examines several (...)
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  26. The Contours of Blame.D. Justin Coates & Neal A. Tognazzini - 2013 - In D. Justin Coates & Neal A. Tognazzini (eds.), Blame: Its Nature and Norms. Oxford University Press. pp. 3-26.
    This is the first chapter to our edited collection of essays on the nature and ethics of blame. In this chapter we introduce the reader to contemporary discussions about blame and its relationship to other issues (e.g. free will and moral responsibility), and we situate the essays in this volume with respect to those discussions.
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  27. The Guise of the Good.J. D. Velleman - 1992 - Noûs 26 (1):3 - 26.
    The agent portrayed in much philosophy of action is, let's face it, a square. He does nothing intentionally unless he regards it or its consequences as desirable. The reason is that he acts intentionally only when he acts out of a desire for some anticipated outcome; and in desiring that outcome, he must regard it as having some value. All of his intentional actions are therefore directed at outcomes regarded sub specie boni: under the guise of the good. This agent (...)
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  28. How to Do Things Without Words.D. Spurrett & S. J. Cowley - 2004 - Language Sciences 26 (5):443-466.
    Clark and Chalmers (1998) defend the hypothesis of an ‘Extended Mind’, maintaining that beliefs and other paradigmatic mental states can be implemented outside the central nervous system or body. Aspects of the problem of ‘language acquisition’ are considered in the light of the extended mind hypothesis. Rather than ‘language’ as typically understood, the object of study is something called ‘utterance-activity’, a term of art intended to refer to the full range of kinetic and prosodic features of the on-line behaviour of (...)
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  29. Representationalism and the Sensorimotor Theory.D. Silverman - 2016 - Constructivist Foundations 11 (2):282-284.
    Open peer commentary on the article “Sensorimotor Direct Realism: How We Enact Our World” by Michael Beaton. Upshot: In light of the construal of sensorimotor theory offered by the target article, this commentary examines the role the theory should admit for internal representation.
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  30. Smell's Puzzling Discrepancy: Gifted Discrimination, yet Pitiful Identification.Benjamin D. Young - 2020 - Mind and Language 35 (1):90-114.
    Mind &Language, Volume 35, Issue 1, Page 90-114, February 2020.
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  31. Is Understanding Reducible?Lewis D. Ross - 2020 - Inquiry: An Interdisciplinary Journal of Philosophy 63 (2):117-135.
    Despite playing an important role in epistemology, philosophy of science, and more recently in moral philosophy and aesthetics, the nature of understanding is still much contested. One attractive framework attempts to reduce understanding to other familiar epistemic states. This paper explores and develops a methodology for testing such reductionist theories before offering a counterexample to a recently defended variant on which understanding reduces to what an agent knows.
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  32. Viewing-as Explanations and Ontic Dependence.William D’Alessandro - 2020 - Philosophical Studies 177 (3):769-792.
    According to a widespread view in metaphysics and philosophy of science, all explanations involve relations of ontic dependence between the items appearing in the explanandum and the items appearing in the explanans. I argue that a family of mathematical cases, which I call “viewing-as explanations”, are incompatible with the Dependence Thesis. These cases, I claim, feature genuine explanations that aren’t supported by ontic dependence relations. Hence the thesis isn’t true in general. The first part of the paper defends this claim (...)
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  33. Lawrence Kohlberg's Approach to Moral Education.F. Clark Power, Ann Higgins-D'alessandro & Lawrence Kohlberg - 1989
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  34. &ldquoTurn'd to Dust and Tears&Rdquo: Revisiting the Archive.Jo Tollebeek - 2004 - History and Theory 43 (2):237-248.
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  35. Does the Theist Have an Epistemic Advantage Over the Atheist?D. Blake Roeber - 2009 - Journal of Philosophical Research 34:305-328.
    Recent iterations of Alvin Plantinga’s “evolutionary argument against naturalism” bear a surprising resemblance to a famous argument in Descartes’s Third Meditation. Both arguments conclude that theists have an epistemic advantage over atheists/naturalists vis-à-vis the question whether or not our cognitive faculties are reliable. In this paper, I show how these arguments bear an even deeper resemblance to each other. After bringing the problem of evil to bear negatively on Descartes’s argument, I argue that, given these similarities, atheists can wield a (...)
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  36. Explicitism About Truth in Fiction.William D’Alessandro - 2016 - British Journal of Aesthetics 56 (1):53-65.
    The problem of truth in fiction concerns how to tell whether a given proposition is true in a given fiction. Thus far, the nearly universal consensus has been that some propositions are ‘implicitly true’ in some fictions: such propositions are not expressed by any explicit statements in the relevant work, but are nevertheless held to be true in those works on the basis of some other set of criteria. I call this family of views ‘implicitism’. I argue that implicitism faces (...)
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  37.  17
    Forward Models.D. M. Wolpert & J. R. Flanagan - 2009 - In Bayne Tim, Cleeremans Axel & Wilken Patrick (eds.), The Oxford Companion to Consciousness. Oxford University Press. pp. 294--296.
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  38. A New Perceptual Adverbialism.Justin D'Ambrosio - 2019 - Journal of Philosophy 116 (8):413-446.
    In this paper, I develop and defend a new adverbial theory of perception. I first present a semantics for direct-object perceptual reports that treats their object positions as supplying adverbial modifiers, and I show how this semantics definitively solves the many-property problem for adverbialism. My solution is distinctive in that it articulates adverbialism from within a well-established formal semantic framework and ties adverbialism to a plausible semantics for perceptual reports in English. I then go on to present adverbialism as a (...)
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  39.  39
    Aristotle on the Uses of Contemplation.Matthew D. Walker - 2018 - Cambridge University Press.
    Traditionally, Aristotle is held to believe that philosophical contemplation is valuable for its own sake, but ultimately useless. In this volume, Matthew D. Walker offers a fresh, systematic account of Aristotle's views on contemplation's place in the human good. The book situates Aristotle's views against the background of his wider philosophy, and examines the complete range of available textual evidence. On this basis, Walker argues that contemplation also benefits humans as perishable living organisms by actively guiding human life activity, including (...)
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  40. Four Problems About Self-Locating Belief.D. Bradley - 2012 - Philosophical Review 121 (2):149-177.
    This article defends the Doomsday Argument, the Halfer Position in Sleeping Beauty, the Fine-Tuning Argument, and the applicability of Bayesian confirmation theory to the Everett interpretation of quantum mechanics. It will argue that all four problems have the same structure, and it gives a unified treatment that uses simple models of the cases and no controversial assumptions about confirmation or self-locating evidence. The article will argue that the troublesome feature of all these cases is not self-location but selection effects.
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  41.  73
    Why Have Philosophers?D. C. Stove - 1985 - Quadrant 29 (7):82-83.
    David Stove reviews Selwyn Grave's History of Philosophy in Australia, and praises philosophers for thinking harder about the bases of science, mathematics and medicine than the practitioners in the field. The review is reprinted as an appendix to James Franklin's Corrupting the Youth: A History of Philosophy in Australia.
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  42. Arithmetic, Set Theory, Reduction and Explanation.William D’Alessandro - 2018 - Synthese 195 (11):5059-5089.
    Philosophers of science since Nagel have been interested in the links between intertheoretic reduction and explanation, understanding and other forms of epistemic progress. Although intertheoretic reduction is widely agreed to occur in pure mathematics as well as empirical science, the relationship between reduction and explanation in the mathematical setting has rarely been investigated in a similarly serious way. This paper examines an important particular case: the reduction of arithmetic to set theory. I claim that the reduction is unexplanatory. In defense (...)
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  43. The Ethics of Narrative Art: Philosophy in Schools, Compassion and Learning From Stories.Laura D’Olimpio & Andrew Peterson - 2018 - Journal of Philosophy in Schools 5 (1):92-110.
    Following neo-Aristotelians Alasdair MacIntyre and Martha Nussbaum, we claim that humans are story-telling animals who learn from the stories of diverse others. Moral agents use rational emotions, such as compassion which is our focus here, to imaginatively reconstruct others’ thoughts, feelings and goals. In turn, this imaginative reconstruction plays a crucial role in deliberating and discerning how to act. A body of literature has developed in support of the role narrative artworks (i.e. novels and films) can play in allowing us (...)
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  44. Proving Quadratic Reciprocity: Explanation, Disagreement, Transparency and Depth.William D'Alessandro - 2020 - Synthese:1-44.
    Gauss’s quadratic reciprocity theorem is among the most important results in the history of number theory. It’s also among the most mysterious: since its discovery in the late 18th century, mathematicians have regarded reciprocity as a deeply surprising fact in need of explanation. Intriguingly, though, there’s little agreement on how the theorem is best explained. Two quite different kinds of proof are most often praised as explanatory: an elementary argument that gives the theorem an intuitive geometric interpretation, due to Gauss (...)
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  45. Non-Normal Modalities in Variants of Linear Logic.D. Porello & N. Troquard - 2015 - Journal of Applied Non-Classical Logics 25 (3):229-255.
    This article presents modal versions of resource-conscious logics. We concentrate on extensions of variants of linear logic with one minimal non-normal modality. In earlier work, where we investigated agency in multi-agent systems, we have shown that the results scale up to logics with multiple non-minimal modalities. Here, we start with the language of propositional intuitionistic linear logic without the additive disjunction, to which we add a modality. We provide an interpretation of this language on a class of Kripke resource models (...)
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  46. Representation and Mental Representation.Robert D. Rupert - 2018 - Philosophical Explorations 21 (2):204-225.
    This paper engages critically with anti-representationalist arguments pressed by prominent enactivists and their allies. The arguments in question are meant to show that the “as-such” and “job-description” problems constitute insurmountable challenges to causal-informational theories of mental content. In response to these challenges, a positive account of what makes a physical or computational structure a mental representation is proposed; the positive account is inspired partly by Dretske’s views about content and partly by the role of mental representations in contemporary cognitive scientific (...)
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  47.  77
    Promising to Try.Jason D’Cruz & Justin Kalef - 2015 - Ethics 125 (3):797-806.
    We maintain that in many contexts promising to try is expressive of responsibility as a promiser. This morally significant application of promising to try speaks in favor of the view that responsible promisers favor evidentialism about promises. Contra Berislav Marušić, we contend that responsible promisers typically withdraw from promising to act and instead promise to try, in circumstances in which they recognize that there is a significant chance that they will not succeed.
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  48. Recent Work on the Proof Paradox.Lewis D. Ross - 2020 - Philosophy Compass 15 (6).
    Recent years have seen fresh impetus brought to debates about the proper role of statistical evidence in the law. Recent work largely centres on a set of puzzles known as the ‘proof paradox’. While these puzzles may initially seem academic, they have important ramifications for the law: raising key conceptual questions about legal proof, and practical questions about DNA evidence. This article introduces the proof paradox, why we should care about it, and new work attempting to resolve it.
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  49. Preserving Preservationism: A Reply to Lackey.Thomas D. Senor - 2007 - Philosophy and Phenomenological Research 74 (1):199–208.
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  50. Evaluating Future Nanotechnology: The Net Societal Impacts of Atomically Precise Manufacturing.Steven Umbrello & Seth D. Baum - 2018 - Futures 100:63-73.
    Atomically precise manufacturing (APM) is the assembly of materials with atomic precision. APM does not currently exist, and may not be feasible, but if it is feasible, then the societal impacts could be dramatic. This paper assesses the net societal impacts of APM across the full range of important APM sectors: general material wealth, environmental issues, military affairs, surveillance, artificial intelligence, and space travel. Positive effects were found for material wealth, the environment, military affairs (specifically nuclear disarmament), and space travel. (...)
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