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Critique of Pure Reason

Philosophy 59 (230):555-557 (1787/1998)

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  1. Manifest Complexity: a foundational ethics for astrobiology?Kelly C. Smith - 2014 - Space Policy 30 (4):209-14.
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  • My Papers - and Other Things.Aaron Sloman - unknown
    I am populating this file from the bottom up. Later years are still empty. Try stuff in or before 1998 for a start. My Oxford DPhil Thesis (1962) is the oldest item available here.
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  • The Peculiar Place of Enlightenment Ideals in the Governance Concept of Citizenship and Democracy.Robert Keith Shaw - 2007 - In Michael Peters, Harry Blee, Penny Enslin & Alan Britton (eds.), Global Citizenship Education. SENSE Publishers.
    This chapter examines a foundational democratic practice by considering how it expresses concepts of the Enlightenment. The practice is that of the vote or plebiscite as it appears in governance. The leading enlightenment concept is rationality as it is expounded by Kant. Kant did not participate in national democratic processes. He expected decisions of any consequence to be made in Berlin and thrived when his City was invaded by the Russians and their officers became his students, until they left suddenly (...)
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  • Žmogiškosios būties prasmės problema Jeano-Paulo Sarte’o filosofijoje.Aneta Rostovskytė & Andrius Bielskis - 2014 - Problemos 86:44-53.
    Straipsnyje kritiškai aptariamas Jeano-Paulo Sartre’o filosofinis Būties ir niekio projektas, ypač jame pateikta filosofinė žmogaus egzistencijos prasmės interpretacija. Teigiama, kad būties prasmės problema Sartre’o mintyje yra tiesiogiai susijusi su jo metafizinio pagrindo neigimu. Tam, kad būtų paaiškinta ši Sartre’o neigimo filosofinė koncepcija, siekiama aptarti jo būties ir regimybės dualizmo atmetimą. Prancūzų filosofo regimybės, niekio ir kito sąmonės neigimo ontologinė artikuliacija turi būti suprantama socialiniame politiniame pokario Europos kultūriniame kontekste. Straipsnyje trumpai aptariama ir Sartre’o skirtis tarp autentiškos ir neautentiškos egzistencijos. Išvadose (...)
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  • Flexible intuitions of Euclidean geometry in an Amazonian indigene group.Pierre Pica, Véronique Izard, Elizabeth Spelke & Stanislas Dehaene - 2011 - Pnas 23.
    Kant argued that Euclidean geometry is synthesized on the basis of an a priori intuition of space. This proposal inspired much behavioral research probing whether spatial navigation in humans and animals conforms to the predictions of Euclidean geometry. However, Euclidean geometry also includes concepts that transcend the perceptible, such as objects that are infinitely small or infinitely large, or statements of necessity and impossibility. We tested the hypothesis that certain aspects of nonperceptible Euclidian geometry map onto intuitions of space that (...)
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  • Philosophical foundations of the Death and Anti-Death discussion.Jeremy Horne - 2017 - Death And Anti-Death Set of Anthologies 15:72.
    Perhaps there has been no greater opportunity than in this “VOLUME FIFTEEN of our Death And Anti-Death set of anthologies” to write about how might think about life and how to avoid death. There are two reasons to discuss “life”, the first being enhancing our understanding of who we are and why we may be here in the Universe. The second is more practical: how humans meet the physical challenges brought about by the way they have interacted with their environment. (...)
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  • Benacerraf o matematičkom znanju.Vladimir Drekalović - 2010 - Prolegomena 9 (1):97-121.
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  • Why some machines may need qualia and how they can have them (Including a demanding new Turing test for robot philosophers.).Aaron Sloman - unknown
    Many debates about consciousness appear to be endless, in part because of conceptual confusions preventing clarity as to what the issues are and what does or does not count as evidence. This makes it hard to decide what should go into a machine if it is to be described as 'conscious'. Thus, triumphant demonstrations by some AI developers may be regarded by others as proving nothing of interest because the system does not satisfy *their* definitions or requirements specifications.
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  • Reflexive A priori.Vanessa Isabel Morlock - unknown
    I present and defend a reliabilist explanation of a priori knowledge which fulfils seven plausibility requirements.
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  • Who am I? What is it? The subject-object relation.Sunny Auyang - manuscript
    Mind is not some mysterious mind stuff; no such stuff exists and the universe comprises only physical matter. It is an emergent property of certain complex material entities, not brains alone but whole human beings living and coping in the physical and social world. This thesis involves three ideas: materialism, emergent properties, and intentionality. The first two belong to the mind-body problem and the status of mental properties in the material universe. The third refers to the mind-world relation, the symbiotic (...)
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  • The power of physical representations.Varol Akman & Paul J. W. ten Hagen - 1989 - AI Magazine 10 (3):49-65.
    Commonsense reasoning about the physical world, as exemplified by "Iron sinks in water" or "If a ball is dropped it gains speed," will be indispensable in future programs. We argue that to make such predictions (namely, envisioning), programs should use abstract entities (such as the gravitational field), principles (such as the principle of superposition), and laws (such as the conservation of energy) of physics for representation and reasoning. These arguments are in accord with a recent study in physics instruction where (...)
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  • Forms and Norms of Indecision in Argumentation Theory.Daniela Schuster - 2021 - Deontic Logic and Normative Systems, 15th International Conference, DEON 2020/2021.
    One main goal of argumentation theory is to evaluate arguments and to determine whether they should be accepted or rejected. When there is no clear answer, a third option, being undecided, has to be taken into account. Indecision is often not considered explicitly, but rather taken to be a collection of all unclear or troubling cases. However, current philosophy makes a strong point for taking indecision itself to be a proper object of consideration. This paper aims at revealing parallels between (...)
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  • Idealist Origins: 1920s and Before.Martin Davies & Stein Helgeby - 2014 - In Graham Oppy & Nick Trakakis (eds.), History of Philosophy in Australia and New Zealand. Dordrecht, Netherlands: Springer. pp. 15-54.
    This paper explores early Australasian philosophy in some detail. Two approaches have dominated Western philosophy in Australia: idealism and materialism. Idealism was prevalent between the 1880s and the 1930s, but dissipated thereafter. Idealism in Australia often reflected Kantian themes, but it also reflected the revival of interest in Hegel through the work of ‘absolute idealists’ such as T. H. Green, F. H. Bradley, and Henry Jones. A number of the early New Zealand philosophers were also educated in the idealist tradition (...)
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  • Gender Issues in Corporate Leadership.Devora Shapiro & Marilea Bramer - 2013 - Handbook of the Philosophical Foundations of Business Ethics:1177-1189.
    Gender greatly impacts access to opportunities, potential, and success in corporate leadership roles. We begin with a general presentation of why such discussion is necessary for basic considerations of justice and fairness in gender equality and how the issues we raise must impact any ethical perspective on gender in the corporate workplace. We continue with a breakdown of the central categories affecting the success of women in corporate leadership roles. The first of these includes gender-influenced behavioral factors, such as the (...)
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  • Knowing what I want.Alex Byrne - 2011 - In JeeLoo Liu & John Perry (eds.), Consciousness and the Self: New Essays. Cambridge, UK: Cambridge University Press.
    How do you know what you want? The question is neglected by epistemologists. This paper attempts an answer.
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  • What is Kant's Refutation of Idealism Designed to Refute?Bernhard Ritter - 2009 - Abstracta 5 (S4):58-84.
    Many commentators of Kant assume that the Refutation of Idealism is directed against a radical sceptic whose sole claim is immediate knowledge of his own representations in inner experience, including, to some extent, their temporal order. Accordingly, the Refutation is viewed as an attempt to establish that the perception of external objects is a prerequisite of knowing the temporal order of our representations. Here it will be argued that this minimal claim has to be supplemented by the proposition that the (...)
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  • The primacy of cognition–or of perception? A phenomenological critique of the theoretical bases of science education.Bo Dahlin - 2001 - Science & Education 10 (5):453-475.
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  • The 1860s Kant revival and the Philosophical Society of Berlin.Lauri Kallio - 2021 - Kant E-Prints 15 (3):192-219.
    Neo-Kantianism emerged over the course of the 1860s and it occupied a leading position in the German universities from the 1870s until the First World War. Demands for getting "back to Kant" had become common since the early 1860s, and these demands were discussed in the meetings of the Philosophical Society of Berlin (Philosophische Gesellschaft zu Berlin; PGB), which was the international organization of Hegelians. In this paper I address some reactions among the PGB members to the 1860s Kant revival. (...)
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  • Pressupostos fundamentais da tese dos dois aspectos.Tiago Fonseca Falkenbach - forthcoming - Kant E-Prints:220-243.
    No presente artigo, pretendo analisar uma das interpretações da distinção transcendental entre fenômenos e coisas em si mesmas, a tese dos dois aspectos [the two-aspect view]. Meu objetivo é indicar e esclarecer alguns pressupostos fundamentais dessa interpretação, nem sempre explicitados pelos seus defensores. Um dos maiores desafios dessa interpretação é explicar como é possível conciliá-la com a tese kantiana da não espacialidade das coisas em si mesmas. Pretendo mostrar que a conciliação pressupõe a satisfação das três seguintes condições: em primeiro (...)
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  • Yargı Gücünün Eleştirisi’nde “Özgür Oyun” Bağlamında Hayalgücü ve Anlama Yetisi Sorunu.Selda Salman - 2021 - ViraVerita 7 (13):34-58.
    Bu çalışma, Yargı Gücünün Eleştirisi’nde estetik beğenide, hayalgücü (Einbildungskraft) ve “özgür oyun” tanımı temelinde, hayalgücü ve anlama yetisi (Verstand) arasındaki ilişki sorununu ele almaktadır. Kant transendental felsefeyle hayalgücüne kendinden önceki filozoflardan ayrı bir saygınlık kazandırmış, bu yetiyi hem bilişin hem estetik deneyimin temel yetileri arasına yerleştirmiştir. Saf Aklın Eleştirisi’nde (A basımı) duyusallık (Sinnlichkeit) ve anlama yetisiyle transendental üç yetiden biri olan hayalgücü, üçüncü Kritik’te reflektif yargı ve estetik deneyimin zeminini oluşturmada önemli bir konumdadır. Üçüncü Kritik’in hemen her bölümünde bir işlevi (...)
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  • Constructing a Beginning in 1985.M. Bettoni - 2011 - Constructivist Foundations 6 (2):184-189.
    Context: Meeting Ernst von Glasersfeld for the first time in 1985, when about 70% of his work had still to be conceived, written and published, was a great stroke of fortune for me; it was based on my collaboration with Silvio Ceccato that had started in 1981 and it profoundly influenced my contributions to radical constructivism in the following 25 years of our friendship. Problem: Presenting the details of how it all began can shed a light on the development of (...)
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  • Cosmic Skepticism and the Beginning of Physical Reality (Doctoral Dissertation).Linford Dan - 2022 - Dissertation, Purdue University
    This dissertation is concerned with two of the largest questions that we can ask about the nature of physical reality: first, whether physical reality begin to exist and, second, what criteria would physical reality have to fulfill in order to have had a beginning? Philosophers of religion and theologians have previously addressed whether physical reality began to exist in the context of defending the Kal{\'a}m Cosmological Argument (KCA) for theism, that is, (P1) everything that begins to exist has a cause (...)
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  • Kontrak Sosial menurut Immanuel Kant: Kontekstualisasinya dengan Penegakan HAM di Indonesia.Althien Pesurnay & A. J. Pesurnay - 2021 - Jurnal Filsafat 31 (2):192-219.
    This article addresses the sensitive topic of human rights issues in Indonesia through a Kantian analysis. Cases of human rights violations are a common occurrence in Indonesia. Presently, human rights violations in the country are assessed from historical and legal perspectives. However, there is little commitment or willingness on the part of the Indonesian government to protect and defend the principles of human rights. This article is attempts to utilize arguments from political philosophy that can contextualize the protection and implementation (...)
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  • Freedom and the Ideal Republican State: Kant, Jefferson, and the Place of Individual Freedom in the Republican Constitutional State.Theresa A. Creighton - unknown
    Of the questions concerning the many great minds of the European Enlightenment, the question of what constitutes right and proper government perhaps had the most enduring influence on the world stage. Both Thomas Jefferson and Immanuel Kant attempted to answer the question of what constitutes right government, in particular by basing the system upon the idea of human freedom as an inalienable right. This project is an attempt to compare the systems proposed by these two authors, as well as to (...)
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  • To be or not to be informed, that is the question of O/ontology.Luis M. Augusto - 2022 - Journal of Knowledge Structures and Systems 3 (3):3-49.
    The relations between ontology and information are many and fundamental, and they help us to understand the present gulf between (formal) ontology and (philosophical) Ontology: We can speak of respectively ontology-driven information and information-driven ontology as the focus on being informed vs. informed being. The question of whether these two (can) coincide is relevant to both fields, and in this article I elaborate on what needs to be addressed first of all to provide us with an answer: The form. This (...)
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  • Freedom in Uncertainty.Filippos Stamatiou - 2022 - Dissertation, University of Copenhagen
    This work develops a philosophically credible and psychologically realisable account of control that is necessary for moral responsibility. We live, think, and act in an environment of subjective uncertainty and limited information. As a result, our decisions and actions are influenced by factors beyond our control. Our ability to act freely is restricted by uncertainty, ignorance, and luck. Through three articles, I develop a naturalistic theory of control for action as a process of error minimisation that extends over time. Thus (...)
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  • V. consciousness, interpretation, and higher-order-thought.David Rosenthal - unknown
    Few contemporary researchers in psychology, philosophy, and the cognitive sciences have any doubt about whether mental phenomena occur without being conscious. There is extensive and convincing clinical and experimental evidence for the existence of thoughts, desires, and related mental states that aren’t conscious. We characterize thoughts, desires, intentions, expectations, hopes, and many other mental states in terms of the things they are about and, more fully, in terms of their content, as captured by a sentence nominalization, such as a clause (...)
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  • Three ways of worrying about 'causation'.David Spurrett & Don Ross - unknown
    Our point of departure is Russell’s (1913) argument for the ‘complete extrusion’ of the word ‘cause’ from the philosophical vocabulary. We argue that at least three different types of philosophical project concerning ‘cause’ should be carefully distinguished, and that failures to distinguish them lie at the root of some apparently recalcitrant problems. We call them the ‘cognitive’, the ‘scientific’ and the ‘metaphysical’.
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  • Overcoming the Disunity of Understanding.Alexander Albert Jeuk - 2017 - Meta: Research in Hermeneutics, Phenomenology, and Practical Philosophy 9 (2):630-653.
    I argue that embodied understanding and conceptual-representational understanding interact through schematic structure. I demonstrate that common conceptions of these two kinds of understanding, such as developed by Wheeler (2005, 2008) and Dreyfus (2007a, b, 2013), entail a separation between them that gives rise to significant problems. Notably, it becomes unclear how they could interact; a problem that has been pointed out by Dreyfus (2007a, b, 2013) and McDowell (2007) in particular. I propose a Kantian strategy to close the gap between (...)
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  • Maimon's Post-Kantian Skepticism.Emily Fitton - 2017 - Dissertation, University of Essex
    There is little doubt that Salomon Maimon was both highly respected by, and highly influential upon, his contemporaries; indeed, Kant himself referred to Maimon as the best of his critics. The appraisal and reformulation of the Kantian project detailed in Maimon’s Essay on Transcendental Philosophy played a significant role in determining the criteria of success for post-Kantian philosophy, and was thus crucial to the early development of German Idealism. Key aspects of Maimon’s transcendental philosophy remain, however, relatively obscure. In particular, (...)
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  • A most affecting view: Transcendental affection as causation de-schematized.Chad Mohler - 2004 - Minerva - An Internet Journal of Philosophy 8 (1).
    Kant claims that things-in-themselves produce in us sensible representations. Unfortunately, this “transcendental affection” appears to be inconsistent with Kant’s prohibition against applying the category of causality to things-in-themselves. This paper gives an account of transcendental affection that does not require it to be seen as a type of causation. Transcendental affection, properly understood, is the logical relation of the ground of things-in-themselves to the consequent of an affected subject. This relation is what one gets when one de-schematizes causation, revealing the (...)
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  • Kant on ethics and politics.Sabrina P. Ramet - 2019 - Eastern Review 8.
    Best known for his ethical works, Immanuel Kant was part of the liberal Enlightenment and addressed most of the principal political issues of his day. Several of his major works were written in the wake of the storming of the Bastille in Paris, while Europe was engaged in the French Revolutionary Wars. His rejection of revolution but endorsement of the principles for which the French revolutionaries were fighting, as well as his plea for a federation of European states that would (...)
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  • The Universe of Science. The Architectonic Ideas of Science, Sciences and Their Parts in Kant.Michael Lewin - 2020 - Kantian Journal 39 (2):26-45.
    I argue that Kant has developed a broad systematic account of the architectonic functionality of pure reason that can be used and advanced in contemporary contexts. Reason, in the narrow sense, is responsible for the picture of a well-ordered universe of science consisting of architectonic ideas of science, sciences and parts of sciences. In the first section (I), I show what Kant means by the architectonic ideas by explaining and interrelating the concepts of (a) the faculty of reason, (b) ideas (...)
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  • The Eightfold Way: Why Analyticity, Apriority and Necessity are Independent.Douglas Ian Campbell - 2017 - Philosophers' Imprint 17:1-17.
    This paper concerns the three great modal dichotomies: (i) the necessary/contingent dichotomy; (ii) the a priori/empirical dichotomy; and (iii) the analytic/synthetic dichotomy. These can be combined to produce a tri-dichotomy of eight modal categories. The question as to which of the eight categories house statements and which do not is a pivotal battleground in the history of analytic philosophy, with key protagonists including Descartes, Hume, Kant, Kripke, Putnam and Kaplan. All parties to the debate have accepted that some categories are (...)
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  • Kant and Twofold Forms of the Highest Good in the History.Reza Mahoozi & Zohreh Saeedi - 2019 - Journal of Philosophical Investigations 13 (26):361-380.
    In Kant’s moral theory, he describes two levels of highest good as sensible and supersensible. He mentions to these concepts in all his works, without shedding light on fundamental conflict and dispute inherited in the simultaneousness of these two. In accordance with the first level of this concept, have been known as a theological reading of the highest good concept, comparison, and accompaniment of two component of the highest good, that is happiness and virtue, only is achieved with the help (...)
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  • The Tenacity of Vicious Circularity in Kant and Husserl: On Transcendental Deduction and Categorial Intuition.Vedran Grahovac - 2018 - HORIZON. Studies in Phenomenology 7:32-56.
    In this paper, I explore the strategy of circularity employed by Kant and Husserl in their treatment of categoriality. I focus on the relation between transcendental and metaphysical deductions in Kant’s Critique of Pure Reason, and on the problem of “epistemic foundationalism” and categoriality in Husserl’s Sixth Logical Investigation. I propose that the strategy of circularity is manifested through the peculiar self-enclosure of the categories of transcendental deduction vis-à-vis metaphysical deduction (Kant) and categorial intuition vis-à-vis sensuous intuition (Husserl). Although it (...)
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  • J.L. Austin ve I. Kant’ta Kategorik Önermeler ve Mental Nedensellik Problemleri.Atilla Akalın - 2020 - Sosyal, Beşeri Ve İdari Bilimler Dergisi 3 (8):624-631.
    One of the central figures of philosophy of language- John Langshaw Austin, attributes principles of causation to the mere pragmatic language. Conversely, Kant tried to construct a “free human act” which is independent from any physical determination except its innate motivations via his well-known the phenomenal / noumenal distinction. That kind of Kantian metaphysical ground which addresses to the noumenal field, he obviously tries to establish this behavioral causation again by denying Austinian style pragmatic propositions or illocutionary acts. I claimed (...)
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  • Kant, Marx, and the Money of Metaphysics.Joseph J. Tinguely - 2018 - Con-Textos Kantianos 8:45-68.
    This paper discusses the relationship between Kantian idealism and Marxian materialism. Part I examines the reasons this relationship is misconstrued to be predominantly a matter of practical philosophy and turns to the neglected works of Alfred Sohn-Rethel and Richard Seaford to outline the importance of money for understanding Kant’s theoretical work. Part II considers an objection that Kant confuses the commodity form for the transcendental object of experience. I am ultimately concerned with defusing the accusation that the identity of the (...)
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  • Kant and Husserl on bringing perception to judgment.Corijn Van Mazijk - 2016 - Meta: Research in Hermeneutics, Phenomenology, and Practical Philosophy 8 (2):419-441.
    There is today much debate about the contents of perceptual experience relative to our capacity to make them figure in judgments. There is considerably less interest, however, in how we subsume perceptual contents in judgments, that is, what judging about a perception is like for us. For Kant and Husserl, this second question is as important as the first. Whereas Kant tries to answer it in the schematism section of the first Critique, Husserl addresses it at length in Experience and (...)
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  • Kant’s Dynamic Hylomorphism in Logic.Elena Dragalina-Chernaya - 2016 - Con-Textos Kantianos 4:127-137.
    The aim of this paper is to provide a dynamic interpretation of Kant’s logical hylomorphism. Firstly, various types of the logical hylomorphism will be illustrated. Secondly, I propose to reevaluate Kant’s constitutivity thesis about logic. Finally, I focus on the design of logical norms as specific kinds of artefacts.
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  • Kant and Joseph Butler on Autonomy, Moral Obligation, and Stoic Virtue.Samuel Munroe - unknown
    Scholars have compared Joseph Butler and Immanuel Kant’s moral theories, claiming that they both center on the concept of autonomy. In this thesis, I argue that, despite this superficial similarity, they disagree about the core commitments of their conceptions of autonomy. Butlerian autonomy relies on inferring from the normative authority of conscience to the descriptive that human nature is adapted to virtue, and from this descriptive claim about human nature to moral obligation. Kant rejects these inferences, and therefore rejects the (...)
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  • Unity and Synthesis in the Ego Ideal: Reading Freud’s Concept through Kant’s Philosophy.Francey Russell - 2012 - American Imago 3 (69):353-383.
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  • Kant’s Theory of Judgment, Explicit Predication or Implicit one?Ahmad Ali AkbarMesgari & Arash Jamshidpour - 2019 - Journal of Philosophical Investigations 13 (26):247-270.
    Theory of judgment is a significant problem in contemporary philosophy. Epistemology, logic, semantics and cognitive psychology are important philosophical areas which deal with different faces of the theory of judgment. One of the greatest problems in contemporary Kant Studies concerns Kant’s theory of judgment. Until 1970, an accepted reading of Kant’s theory of judgment was widespread among Kant’s English-speaking interpreters. Since 1970, some scholars began to understand and interpret Kant’s theory of judgment in a different way. This shift has led (...)
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  • Concepts and Cognitive Science.Stephen Laurence & Eric Margolis - 1999 - In Eric Margolis & Stephen Laurence (eds.), Concepts: Core Readings. MIT Press. pp. 3-81.
    Given the fundamental role that concepts play in theories of cognition, philosophers and cognitive scientists have a common interest in concepts. Nonetheless, there is a great deal of controversy regarding what kinds of things concepts are, how they are structured, and how they are acquired. This chapter offers a detailed high-level overview and critical evaluation of the main theories of concepts and their motivations. Taking into account the various challenges that each theory faces, the chapter also presents a novel approach (...)
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  • Extended Modal Realism — A New Solution to Problems Related to Non-existence.Andrew Thomas - 2021 - Dissertation, Durham University
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  • Military virtue and the British soldier in the contemporary operating environment.Alan Steele - unknown
    In this dissertation I argue that Thomas Aquinas’s understanding of human nature, of human flourishing and of virtue can fill the gap, identified by Elizabeth Anscombe in 1958, between Aristotle’s account of the virtuous life and contemporary sceptical moral philosophy, which is variously described as subjectivism, consequentialism, emotivism, and sophistry. Furthermore, I argue that a Thomist account of the practicably lived virtuous life is both relevant and applicable to officers and soldiers serving in the British Army of today, because it (...)
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  • Thought, Language, and Reasoning. Perspectives on the Relation Between Mind and Language.Hannes Fraissler - 2021 - Dissertation, University of Luxembourg
    This dissertation is an investigation into the relation between mind and language from different perspectives, split up into three interrelated but still, for the most part, self-standing parts. Parts I and II are concerned with the question how thought is affected by language while Part III investigates the scope covered by mind and language respectively. Part I provides a reconstruction of Ludwig Wittgenstein’s famous Private Language Argument in order to apply the rationale behind this line of argument to the relation (...)
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  • Bridging mainstream and formal ontology: A causality-based upper ontology in Dietrich of Freiberg.Luis M. Augusto - 2021 - Journal of Knowledge Structures and Systems 2 (2):35.
    Ontologies are some of the most central constructs in today's large plethora of knowledge technologies, namely in the context of the semantic web. As their coinage indicates, they are direct heirs to the ontological investigations in the long Western philosophical tradition, but it is not easy to make bridges between them. Contemporary ontological commitments often take causality as a central aspect for the ur-segregation of entities, especially in scientific upper ontologies; theories of causality and philosophical ontological investigations often go hand-in-hand, (...)
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  • The Role of Mathematics in Liberal Arts Education.Judith V. Grabiner - 2014 - In Michael R. Matthews (ed.), International Handbook of Research in History, Philosophy and Science Teaching. Springer. pp. 793-836.
    The history of the continuous inclusion of mathematics in liberal education in the West, from ancient times through the modern period, is sketched in the first two sections of this chapter. Next, the heart of this essay (Sects. 3, 4, 5, 6, and 7) delineates the central role mathematics has played throughout the history of Western civilization: not just a tool for science and technology, mathematics continually illuminates, interacts with, and sometimes challenges fields like art, music, literature, and philosophy – (...)
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  • Grammar, Numerals, and Number Words: A Wittgensteinian Reflection on the Grammar of Numbers.Dennis De Vera - 2014 - Social Science Diliman 10 (1):53-100.
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