Results for 'post-Goedelian incompleteness scheme'

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  1. Retrieving the Mathematical Mission of the Continuum Concept from the Transfinitely Reductionist Debris of Cantor’s Paradise. Extended Abstract.Edward G. Belaga - forthcoming - International Journal of Pure and Applied Mathematics.
    What is so special and mysterious about the Continuum, this ancient, always topical, and alongside the concept of integers, most intuitively transparent and omnipresent conceptual and formal medium for mathematical constructions and the battle field of mathematical inquiries ? And why it resists the century long siege by best mathematical minds of all times committed to penetrate once and for all its set-theoretical enigma ? -/- The double-edged purpose of the present study is to save from the transfinite deadlock of (...)
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  2. Gödel Incompleteness and Turing Completeness.Ramón Casares - manuscript
    Following Post program, we will propose a linguistic and empirical interpretation of Gödel’s incompleteness theorem and related ones on unsolvability by Church and Turing. All these theorems use the diagonal argument by Cantor in order to find limitations in finitary systems, as human language, which can make “infinite use of finite means”. The linguistic version of the incompleteness theorem says that every Turing complete language is Gödel incomplete. We conclude that the incompleteness and unsolvability theorems find (...)
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  3. Towards Post-Pandemic Sustainable and Ethical Food Systems.Matthias Kaiser, Stephen Goldson, Tatjana Buklijas, Peter Gluckman, Kristiann Allen, Anne Bardsley & Mimi E. Lam - 2021 - Food Ethics 6 (1).
    The current global COVID-19 pandemic has led to a deep and multidimensional crisis across all sectors of society. As countries contemplate their mobility and social-distancing policy restrictions, we have a unique opportunity to re-imagine the deliberative frameworks and value priorities in our food systems. Pre-pandemic food systems at global, national, regional and local scales already needed revision to chart a common vision for sustainable and ethical food futures. Re-orientation is also needed by the relevant sciences, traditionally siloed in their disciplines (...)
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  4. For the Common Good: Philosophical Foundations of Research Ethics.Alex John London - 2021 - New York, NY, USA: Oxford University Press.
    The foundations of research ethics are riven with fault lines emanating from a fear that if research is too closely connected to weighty social purposes an imperative to advance the common good through research will justify abrogating the rights and welfare of study participants. The result is an impoverished conception of the nature of research, an incomplete focus on actors who bear important moral responsibilities, and a system of ethics and oversight highly attuned to the dangers of research but largely (...)
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  5. Coronavirus Disease (COVID-19): Socio-Economic Systems in the Post-Pandemic World: Design Thinking, Strategic Planning, Management, and Public Policy.Andrzej Klimczuk, Eva Berde, Delali A. Dovie, Magdalena Klimczuk-Kochańska & Gabriella Spinelli (eds.) - 2022 - Lausanne: Frontiers Media.
    On 11 March 2020, the World Health Organization declared a pandemic of the COVID-19 coronavirus disease that was first recognized in China in late 2019. Among the primary effects caused by the pandemic, there was the dissemination of health preventive measures such as physical distancing, travel restrictions, self-isolation, quarantines, and facility closures. This includes the global disruption of socio-economic systems including the postponement or cancellation of various public events (e.g., sporting, cultural, or religious), supply shortages and fears of the same, (...)
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  6. An Introduction to Interdisciplinary Research: Theory and Practice.Steph Menken, Machiel Keestra, Lucas Rutting, Ger Post, Mieke de Roo, Sylvia Blad & Linda de Greef (eds.) - 2016 - Amsterdam University Press.
    A SECOND COMPLETELY REVISED EDITION OF THIS TEXTBOOK ON INTERDISCIPLINARY RESEARCH WAS PUBLISHED WITH AMSTERDAM UNIVERSITY PRESS IN 2022. Check out that version here and a PDF of its ToC and Introduction, as this first edition (AUP 2016) is no longer available. [This book (128 pp.) serves as an introduction and manual to guide students through the interdisciplinary research process. We are becoming increasingly aware that, as a result of technological developments and globalisation, problems are becoming so complex that they (...)
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  7. Dialectical and heuristic arguments: presumptions and burden of proof.Fabrizio Macagno - 2010 - In C. Tindale & C. Reed (eds.), Dialectics, Dialogue and Argumentation: An Examination of Douglas Walton's Theories of Reasoning and Argument. College Publications. pp. 45-57.
    Presumption is a complex concept in law, affecting the dialogue setting. However, it is not clear how presumptions work in everyday argumentation, in which the concept of “plausible argumentation” seems to encompass all kinds of inferences. By analyzing the legal notion of presumption, it appears that this type of reasoning combines argument schemes with reasoning from ignorance. Presumptive reasoning can be considered a particular form of reasoning, which needs positive or negative evidence to carry a probative weight on the conclusion. (...)
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  8. Knowledge,Values and Ideologies in Developing on Modern Lines Society: Interdisciplinary Approach.R. M. Nugayev, M. A. Nugaev & A. B. Madiarov - 2002 - Dom Pechati.
    It is contended that to construct a social theory capable to comprehend the Russian Modernization one has to broaden first and foremost the conceptual basis of research. The basic element lacking in the orthodox Marxist conceptual scheme is the notion of ‘social unconsciousness’. It is demonstrated that Slavoj Zizek’s works represent the most ingenious fusion of post-structuralism, psychoanalysis and Marxism that treats the ability to disclose social contradictions. It is shown that the adequate comprehension of social contradictions system (...)
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  9. Fair Innings and Time-Relative Claims.Ben Davies - 2015 - Bioethics 30 (6):462-468.
    Greg Bognar has recently offered a prioritarian justification for ‘fair innings’ distributive principles that would ration access to healthcare on the basis of patients' age. In this article, I agree that Bognar's principle is among the strongest arguments for age-based rationing. However, I argue that this position is incomplete because of the possibility of ‘time-relative' egalitarian principles that could complement the kind of lifetime egalitarianism that Bognar adopts. After outlining Bognar's position, and explaining the attraction of time-relative egalitarianism, I suggest (...)
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  10. Modelling Argument Recognition and Reconstruction.Joel Katzav & Chris Reed - 2008 - Journal of Pragmatics 40:155-172..
    A growing body of recent work in informal logic investigates the process of argumentation. Among other things, this work focuses on the ways in which individuals attempt to understand written or verbalised arguments in light of the fact that these are often presented in forms that are incomplete and unmarked. One of its aims is to develop general procedures for natural language argument recognition and reconstruction. Our aim here is to draw on this growing body of knowledge in informal logic (...)
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  11. Uwagi o pojęciu przyczynowości u Jana Łukasiewicza.Zbigniew Wolak - 2016 - Argument: Biannual Philosophical Journal 6 (2):413-428.
    Jan Łukasiewicz, a prominent Polish logician and philosopher, dealt with the scientific analysis of the concept of cause using logic. He wanted first and foremost to construct a definition, which reconciles the irreversibility of causal relationship to the exclusion of time sequence. In this article, I show that his attempts led to many contradictions, paradoxes and inconsistencies between Łukasiewicz’s definitions and commonly recognized examples of causality, even those given by the author himself. First, I present the semantic and formal aspects (...)
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  12. Utility Curves, Mean Opinion Scores Considered Biased.David Kirsh, H. Knoche & H. De Meer - 1999 - Proceedings of the Seventh Interna- Tional Workshop on Quality of Service.
    Mechanisms for QoS provisioning in communication networks range from flow-based resource reservation schemes, providing QoS guarantees, through QoS differentiation based on reservation aggregation techniques to adaptation of applications, compensating for incomplete reservations. Scalable, aggregation-based reservations can also be combined with adaptations for a more flexible and robust overall QoS provisioning. Adaptation is particularly important in wireless networks, where reservations schemes are more difficult to realize. It is widely accepted that usability of Cellular or Mobile IP can be largely improved if (...)
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  13.  70
    A Review on Entanglement and Maxwell-Dirac Isomorphism.Victor Christianto & Florentin Smarandache - manuscript
    In RG forum, one senior professor of physics posted a project called: “Future science and technology.” As a response, one of us (VC) wrote in reply: “I think one of future science's tasks is to discover the link between entanglement and classical electromagnetic theory. This is to fulfill Einstein's position that present QM theory is incomplete, a new one must be found. We are on a way to that goal.” Therefore, in this paper we will discuss how entanglement can be (...)
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  14. The Fake, the Flimsy, and the Fallacious: Demarcating Arguments in Real Life.Maarten Boudry, Fabio Paglieri & Massimo Pigliucci - 2015 - Argumentation 29 (4):10.1007/s10503-015-9359-1.
    Philosophers of science have given up on the quest for a silver bullet to put an end to all pseudoscience, as such a neat formal criterion to separate good science from its contenders has proven elusive. In the literature on critical thinking and in some philosophical quarters, however, this search for silver bullets lives on in the taxonomies of fallacies. The attractive idea is to have a handy list of abstract definitions or argumentation schemes, on the basis of which one (...)
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  15. The inexpressibility of validity.Julien Murzi - 2014 - Analysis 74 (1):65-81.
    Tarski's Undefinability of Truth Theorem comes in two versions: that no consistent theory which interprets Robinson's Arithmetic (Q) can prove all instances of the T-Scheme and hence define truth; and that no such theory, if sound, can even express truth. In this note, I prove corresponding limitative results for validity. While Peano Arithmetic already has the resources to define a predicate expressing logical validity, as Jeff Ketland has recently pointed out (2012, Validity as a primitive. Analysis 72: 421-30), no (...)
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  16. Stove's discovery of the worst argument in the world.James Franklin - 2002 - Philosophy 77 (4):615-624.
    The winning entry in David Stove's Competition to Find the Worst Argument in the World was: “We can know things only as they are related to us/insofar as they fall under our conceptual schemes, etc., so, we cannot know things as they are in themselves.” That argument underpins many recent relativisms, including postmodernism, post-Kuhnian sociological philosophy of science, cultural relativism, sociobiological versions of ethical relativism, and so on. All such arguments have the same form as ‘We have eyes, therefore (...)
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  17. The Absence of Multiple Universes of Discourse in the 1936 Tarski Consequence-Definition Paper.John Corcoran & José Miguel Sagüillo - 2011 - History and Philosophy of Logic 32 (4):359-374.
    This paper discusses the history of the confusion and controversies over whether the definition of consequence presented in the 11-page 1936 Tarski consequence-definition paper is based on a monistic fixed-universe framework?like Begriffsschrift and Principia Mathematica. Monistic fixed-universe frameworks, common in pre-WWII logic, keep the range of the individual variables fixed as the class of all individuals. The contrary alternative is that the definition is predicated on a pluralistic multiple-universe framework?like the 1931 Gödel incompleteness paper. A pluralistic multiple-universe framework recognizes (...)
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  18. Taxonomy, truth-value gaps and incommensurability: a reconstruction of Kuhn's taxonomic interpretation of incommensurability.Xinli Wang - 2002 - Studies in History and Philosophy of Science Part A 33 (3):465-485.
    Kuhn's alleged taxonomic interpretation of incommensurability is grounded on an ill defined notion of untranslatability and is hence radically incomplete. To supplement it, I reconstruct Kuhn's taxonomic interpretation on the basis of a logical-semantic theory of taxonomy, a semantic theory of truth-value, and a truth-value conditional theory of cross-language communication. According to the reconstruction, two scientific languages are incommensurable when core sentences of one language, which have truth values when considered within its own context, lack truth values when considered within (...)
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  19.  57
    Point d'expérience spectatorielle, point de magie- Diderot et la communication artistique géniale.Juliette Hélène Christie - manuscript
    Artwork of astounding genius requires a spectator (and not just anyone will do!). The materialist magic worked by an artistic genius only affects others; each genius is impervious to their own magic. Diderot's thought is wonderful and really deserves wider attention (if any thought really does deserve attention ...): a masterpiece is incomplete without one who can appreciate it. -/- This is a talk presented (a few years ago) to an audience of nearly none at a conference. I only (...) it in case there is anyone out there who enjoys Diderot, art, French, hardcore materialism and magic. (shrink)
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  20. Rorty's Debt to Sellarsian Metaphysics.Carl B. Sachs - 2013 - Metaphilosophy 44 (5):682-707.
    Rorty regards himself as furthering the project of the Enlightenment by separating Enlightenment liberalism from Enlightenment rationalism. To do so, he rejects the very need for explicit metaphysical theorizing. Yet his commitments to naturalism, nominalism, and the irreducibility of the normative come from the metaphysics of Wilfrid Sellars. Rorty's debt to Sellars is concealed by his use of Davidsonian arguments against the scheme/content distinction and the nonsemantic concept of truth. The Davidsonian arguments are used for Deweyan ends: to advance (...)
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  21. Reading Novalis and the Schlegels with Sylvia Wynter and Afrofuturism.Kirill Chepurin - 2023 - In Tilottama Rajan & Daniel Whistler (eds.), The Palgrave Handbook of German Idealism and Poststructuralism. Palgrave Macmillan. pp. 59-81.
    In dialogue with the critiques of the modern world in Sylvia Wynter and Afrofuturism, this chapter offers a reading of Early German Romanticism as a project of universal construction, where "universal" refers at once to conceptual universality and to the post-Copernican universe. For Novalis, Friedrich Schlegel, and August Wilhelm Schlegel, the joint task of poetry and philosophy is to re-mediate post-Copernican reality across all of its scales. This project of cross-scalar poiesis is inherently ambivalent, entwined as it is (...)
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  22. Utilitarianism with and without expected utility.David McCarthy, Kalle Mikkola & Joaquin Teruji Thomas - 2020 - Journal of Mathematical Economics 87:77-113.
    We give two social aggregation theorems under conditions of risk, one for constant population cases, the other an extension to variable populations. Intra and interpersonal welfare comparisons are encoded in a single ‘individual preorder’. The theorems give axioms that uniquely determine a social preorder in terms of this individual preorder. The social preorders described by these theorems have features that may be considered characteristic of Harsanyi-style utilitarianism, such as indifference to ex ante and ex post equality. However, the theorems (...)
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  23. Feyerabend on the Quantum Theory of Measurement: A Reassessment.Daniel Kuby & Patrick Fraser - 2022 - International Studies in the Philosophy of Science 35 (1):23-49.
    In 1957, Feyerabend delivered a paper titled ‘On the Quantum-Theory of Measurement’ at the Colston Research Symposium in Bristol to sketch a completion of von Neumann's measurement scheme without collapse, using only unitary quantum dynamics and well-motivated statistical assumptions about macroscopic quantum systems. Feyerabend's paper has been recognised as an early contribution to quantum measurement, anticipating certain aspects of decoherence. Our paper reassesses the physical and philosophical content of Feyerabend's contribution, detailing the technical steps as well as its overall (...)
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  24. D'vûd-i Karsî’nin Şerhu Îs'gûcî Adlı Eserinin Eleştirmeli Metin Neşri ve Değerlendirmesi.Ferruh Özpilavcı - 2017 - Cumhuriyet İlahiyat Dergisi 21 (3):2009-2009.
    Dâwûd al-Qarisî (Dâvûd al-Karsî) was a versatile and prolific 18th century Ottoman scholar who studied in İstanbul and Egypt and then taught for long years in various centers of learning like Egypt, Cyprus, Karaman, and İstanbul. He held high esteem for Mehmed Efendi of Birgi (Imâm Birgivî/Birgili, d.1573), out of respect for whom, towards the end of his life, Karsî, like Birgivî, occupied himself with teaching in the town of Birgi, where he died in 1756 and was buried next to (...)
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  25. Vietnam’s COVID-19 Strategy: Mobilizing Public Compliance Via Accurate and Credible Communications.Hong Kong Nguyen & Tung Manh Ho - 2020 - ISEAS Perspective 2020 (69):1-14.
    • A number of reasons have been offered for Vietnam’s success in containing the COVID-19 pandemic during the first four months of 2020, including Vietnam’s experience in fighting epidemics and its single-party system which allows for timely and aggressive infection control. • Contentions that Vietnam’s measures, being dependent on its particular political and social structures, are not replicable elsewhere is incomplete, if not outright wrong. • Vietnam’s successful pandemic control required a high level of preparedness and a host of coordinated (...)
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  26. Mad Speculation and Absolute Inhumanism: Lovecraft, Ligotti, and the Weirding of Philosophy.Ben Woodard - 2011 - Continent 1 (1):3-13.
    continent. 1.1 : 3-13. / 0/ – Introduction I want to propose, as a trajectory into the philosophically weird, an absurd theoretical claim and pursue it, or perhaps more accurately, construct it as I point to it, collecting the ground work behind me like the Perpetual Train from China Mieville's Iron Council which puts down track as it moves reclaiming it along the way. The strange trajectory is the following: Kant's critical philosophy and much of continental philosophy which has followed, (...)
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  27. The Parisian Porters’ Revolt of January 1786.Bennett Gilbert - 2016 - Journal for Eighteenth-Century Studies 39 (3):359-375.
    This paper gives a full picture of the moral universe pressuring all sides in the strike by porters in Paris during January 1786. These Parisian day-labourers found their livelihood taken away by a new system of parcel delivery, part of a many-sided endeavour to rationalise the economy. They rioted and were the first rioting mob to appeal to the king at Versailles. This paper looks at the riot from the points of view of the rioters and their neighbours, the police, (...)
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  28. 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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  29. International Migrants and Refugees in Cape Town’s Informal Economy.Godfrey Tawodzera, Abel Chikanda, Jonathan Crush & Robertson K. Tengeh - 2015 - Waterloo, ON, Canada: Southern African Migration Programme.
    Attacks on migrant and refugee entrepreneurs and their properties by South African rivals and ordinary citizens have become a common phenomenon throughout the country, including the city of Cape Town. Business robberies often result in deaths or serious injuries. The Somali Community Board has noted that over 400 Somali refugees, many of them informal traders, were murdered in South Africa between early 2002 and mid-2010. The police are frequently accused by migrants of fomenting or turning a blind eye to xenophobic (...)
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  30. The Future of Science.Hossein Shirkhani - manuscript
    This article has been written about the explanation of the scientific affair. There are the philosophical circles that a philosopher must consider their approaches. Postmodern thinkers generally refuse the universality of the rational affair. They believe that the experience cannot reach general knowledge. They emphasize on the partial and plural knowledge. Any human being has his knowledge and interpretation. The world is always becoming. Diversity is an inclusive epistemological principle. Naturally, in such a state, the scientific activity is a non-sense (...)
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  31. Overhead Cross Section Sampling Machine Learning based Cervical Cancer Risk Factors Prediction.A. Peter Soosai Anandaraj, - 2021 - Turkish Online Journal of Qualitative Inquiry (TOJQI) 12 (6): 7697-7715.
    Most forms of human papillomavirus can create alterations on a woman's cervix that can lead to cervical cancer in the long run, while others can produce genital or epidermal tumors. Cervical cancer is a leading cause of morbidity and mortality among women in low- and middle-income countries. The prediction of cervical cancer still remains an open challenge as there are several risk factors affecting the cervix of the women. By considering the above, the cervical cancer risk factor dataset from KAGGLE (...)
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  32. Political and Economic Transitions in Sub-Saharan Africa.Chrysanthos Vlamis - 2023 - Dissertation, University of the Peloponnese
    The thesis examines political and economic transitions in Sub-Saharan Africa (SSA) and particularly in post-communist Ethiopia and Angola between 1989-2019 by applying the interpretative scheme of transition theory. The research question investigated how the economic liberalization of centrally planned political systems affects their political liberalization and vice versa. The main hypothesis attempted to answer whether transition theory can apply as an interpretative model in order to explain post-communist developments in the SSA context. Characteristic noteworthy country examples, which (...)
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  33. Incompleteness and Computability: An Open Introduction to Gödel's Theorems.Richard Zach - 2019 - Open Logic Project.
    Textbook on Gödel’s incompleteness theorems and computability theory, based on the Open Logic Project. Covers recursive function theory, arithmetization of syntax, the first and second incompleteness theorem, models of arithmetic, second-order logic, and the lambda calculus.
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  34. Argumentation Schemes. History, Classifications, and Computational Applications.Fabrizio Macagno, Douglas Walton & Chris Reed - 2017 - IfCoLog Journal of Logics and Their Applications 8 (4):2493-2556.
    Argumentation schemes can be described as abstract structures representing the most generic types of argument, constituting the building blocks of the ones used in everyday reasoning. This paper investigates the structure, classification, and uses of such schemes. Three goals are pursued: 1) to describe the schemes, showing how they evolved and how they have been classified in the traditional and the modern theories; 2) to propose a method for classifying them based on ancient and modern developments; and 3) to outline (...)
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  35. Incompleteness, Independence, and Negative Dominance.Harvey Lederman - manuscript
    This paper introduces the axiom of Negative Dominance, stating that if a lottery f is strictly preferred to a lottery g, then some outcome in the support of f is strictly preferred to some outcome in the support of g. It is shown that if preferences are incomplete on a sufficiently rich domain, then this plausible axiom, which holds for complete preferences, is incompatible with an array of otherwise plausible axioms for choice under uncertainty. In particular, in this setting, Negative (...)
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  36. Post-truth Politics and Collective Gaslighting.Natascha Rietdijk - 2021 - Episteme.
    Post-truth politics has been diagnosed as harmful to both knowledge and democracy. I argue that it can also fundamentally undermine epistemic autonomy in a way that is similar to the manipulative technique known as gaslighting. Using examples from contemporary politics, I identify three categories of post-truth rhetoric: the introduction of counternarratives, the discrediting of critics, and the denial of more or less plain facts. These strategies tend to isolate people epistemically, leaving them disoriented and unable to distinguish between (...)
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  37. Essentially Incomplete Descriptions.Carlo Penco - 2010 - European Journal of Analytic Philosophy 6 (2):47 - 66.
    In this paper I offer a defence of a Russellian analysis of the referential uses of incomplete (mis)descriptions, in a contextual setting. With regard to the debate between a unificationist and an ambiguity approach to the formal treatment of definite descriptions (introduction), I will support the former against the latter. In 1. I explain what I mean by "essentially" incomplete descriptions: incomplete descriptions are context dependent descriptions. In 2. I examine one of the best versions of the unificationist “explicit” approach (...)
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  38. Schemes of Historical Method in the Late 19th Century: Cross-References between Langlois and Seignobos, Bernheim, and Droysen.Arthur Alfaix Assis - 2015 - In Luiz Estevam de Oliveira Fernandes, Luísa Rauter Pereira & Sérgio da Mata (eds.), Contributions to Theory and Comparative History of Historiography German and Brazilian Perspectives. Peter Lang. pp. 105-125.
    At the end of the 19th century, most professional historians – wherever they existed – deemed history to be a form of knowledge ruled by a method that bears no resemblance with those most commonly traceable in the natural sciences. The bulk of the historian’s task was then frequently regarded as being the application of procedures frequently referred to as ‘historical method’. In the context of such an emerging interest on historical methods and methodology, at least three textbooks stand out: (...)
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  39. The Politics of Post-Truth.Michael Hannon - 2023 - Critical Review: A Journal of Politics and Society 35 (1):40-62.
    A prevalent political narrative is that we are facing an epistemological crisis, where many citizens no longer care about truth and facts. Yet the view that we are living in a post-truth era relies on some implicit questionable empirical and normative assumptions. The post-truth rhetoric converts epistemic issues into motivational issues, treating people with whom we disagree as if they no longer believe in or care about truth. This narrative is also dubious on epistemic, moral, and political grounds. (...)
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  40. Incomplete understanding of complex numbers Girolamo Cardano: a case study in the acquisition of mathematical concepts.Denis Buehler - 2014 - Synthese 191 (17):4231-4252.
    In this paper, I present the case of the discovery of complex numbers by Girolamo Cardano. Cardano acquires the concepts of (specific) complex numbers, complex addition, and complex multiplication. His understanding of these concepts is incomplete. I show that his acquisition of these concepts cannot be explained on the basis of Christopher Peacocke’s Conceptual Role Theory of concept possession. I argue that Strong Conceptual Role Theories that are committed to specifying a set of transitions that is both necessary and sufficient (...)
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  41. Incomplete Ideal Theory.Amy Berg - 2019 - Social Theory and Practice 45 (4):501-524.
    What is the best way to make sustained societal progress over time? Non-ideal theory done on its own faces the problem of second best, but ideal theory seems unable to cope with disagreement about how to make progress. If ideal theory gives up its claims to completeness, then we can use the method of incompletely theorized agreements to make progress over time.
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  42. 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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  43. On interpreting Chaitin's incompleteness theorem.Panu Raatikainen - 1998 - Journal of Philosophical Logic 27 (6):569-586.
    The aim of this paper is to comprehensively question the validity of the standard way of interpreting Chaitin's famous incompleteness theorem, which says that for every formalized theory of arithmetic there is a finite constant c such that the theory in question cannot prove any particular number to have Kolmogorov complexity larger than c. The received interpretation of theorem claims that the limiting constant is determined by the complexity of the theory itself, which is assumed to be good measure (...)
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  44. Argument schemes—an epistemological approach.Christoph Lumer - 2011 - Argumentation. Cognition and Community. Proceedings of the 9th International Conference of the Ontario Society for the Study of Argumentation (OSSA), May 18-22, 2011.
    The paper develops a classificatory system of basic argument types on the basis of the epis-temological approach to argumentation. This approach has provided strict rules for several kinds of argu-ments. These kinds may be brought into a system of basic irreducible types, which rely on different parts of epistemology: deductive logic, probability theory, utility theory. The system reduces a huge mass of differ-ent argument schemes to basic types and gives them an epistemological foundation.
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  45. Productive Justice in the ‘Post‐Work Future’.Caleb Althorpe & Elizabeth Finneron-Burns - 2024 - Journal of Applied Philosophy 41 (2):330-349.
    Justice in production is concerned with ensuring the benefits and burdens of work are distributed in a way that is reflective of persons' status as moral equals. While a variety of accounts of productive justice have been offered, insufficient attention has been paid to the distribution of work's benefits and burdens in the future. In this article, after granting for the sake of argument forecasts of widespread future technological unemployment, we consider the implications this has for egalitarian requirements of productive (...)
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  46. Incomplete Preference and Indeterminate Comparative Probabilities.Yang Liu - 2022 - British Journal for the Philosophy of Science 73 (3):795-810.
    The notion of comparative probability defined in Bayesian subjectivist theory stems from an intuitive idea that, for a given pair of events, one event may be considered “more probable” than the other. Yet it is conceivable that there are cases where it is indeterminate as to which event is more probable, due to, e.g., lack of robust statistical information. We take that these cases involve indeterminate comparative probabilities. This paper provides a Savage-style decision-theoretic foundation for indeterminate comparative probabilities.
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  47. Conceptual schemes, analytic truths, and organizing the Pacific Ocean.Terence Rajivan Edward -
    I draw attention to how one of Donald Davidson’s arguments against the claim that others have an alternative conceptual scheme does not look compatible with his rejection of analytic truths – how his rejection of the third dogma of empiricism depends on accepting the first. The appendix contests Davidson’s approach to organizing the Pacific Ocean.
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  48. Eliminating Undecidability and Incompleteness in Formal Systems.P. Olcott - manuscript
    To eliminate incompleteness, undecidability and inconsistency from formal systems we only need to convert the formal proofs to theorem consequences of symbolic logic to conform to the sound deductive inference model. -/- Within the sound deductive inference model there is a (connected sequence of valid deductions from true premises to a true conclusion) thus unlike the formal proofs of symbolic logic provability cannot diverge from truth.
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  49. Wittgenstein on Gödelian 'Incompleteness', Proofs and Mathematical Practice: Reading Remarks on the Foundations of Mathematics, Part I, Appendix III, Carefully.Wolfgang Kienzler & Sebastian Sunday Grève - 2016 - In Sebastian Sunday Grève & Jakub Mácha (eds.), Wittgenstein and the Creativity of Language. Basingstoke, UK: Palgrave Macmillan. pp. 76-116.
    We argue that Wittgenstein’s philosophical perspective on Gödel’s most famous theorem is even more radical than has commonly been assumed. Wittgenstein shows in detail that there is no way that the Gödelian construct of a string of signs could be assigned a useful function within (ordinary) mathematics. — The focus is on Appendix III to Part I of Remarks on the Foundations of Mathematics. The present reading highlights the exceptional importance of this particular set of remarks and, more specifically, emphasises (...)
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  50. Post-mortem Reproduction from a Vietnamese Perspective—an Analysis and Commentary.Hai Thanh Doan, Diep Thi Phuong Doan & Nguyen Kim The Duong - 2020 - Asian Bioethics Review 12 (3):257–288.
    Post-mortem reproduction is a complex and contested matter attracting attention from a diverse group of scholars and resulting in various responses from a range of countries. Vietnam has been reluctant to deal directly with this matter and has, accordingly, permitted post-mortem reproduction implicitly. First, by analysing Vietnam’s post-mortem reproduction cases, this paper reflects on the manner in which Vietnamese authorities have handled each case in the context of the contemporary legal framework, and it reveals the moral questions (...)
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