Results for 'Absolute infinity, Cantor, Trendelenburg, Cusanus, 19th century German philosophy, philosophy of religion'

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  1. Absolute Infinity, Knowledge, and Divinity in the Thought of Cusanus and Cantor (ABSTRACT ONLY).Anne Newstead - 2024 - In Mirosław Szatkowski (ed.), Ontology of Divinity. De Gruyter. pp. 561-580.
    Renaissance philosopher, mathematician, and theologian Nicholas of Cusa (1401-1464) said that there is no proportion between the finite mind and the infinite. He is fond of saying reason cannot fully comprehend the infinite. That our best hope for attaining a vision and understanding of infinite things is by mathematics and by the use of contemplating symbols, which help us grasp "the absolute infinite". By the late 19th century, there is a decisive intervention in mathematics and its (...): the philosophical mathematician Georg Cantor (1845-1918) says that between the realm of the finite and the absolute infinite, there is an intermediate realm partaking in properties in a certain sense of both the finite and the infinite: the transfinite realm. Like the finite, the transfinite realm is a realm of mathematical objects, numbers, and knowledge. Like the absolute infinite, the transfinite is a form of infinity insofar as transfinite sets and numbers transcend any finite number. Echoing Cusanus and neo-Platonism, Cantor says that the transfinite sequence of all ordinals is a symbol of the absolutely infinite, that is, God. This paper considers how the doctrine of symbolism and the philosophers' different commitments to the laws of logic, especially the Law of Non-Contradiction (LNC), enables these thinkers to articulate a transcendental apophatic approach to divinity. (shrink)
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  2. "Infinity, Knowledge, and Divinity in the Thought of Cusanus and Cantor" (Manuscript draft of first page of forthcoming book chapter ).Anne Newstead (ed.) - forthcoming - Berlin: De Gruyter.
    Renaissance philosopher, mathematician, and theologian Nicholas of Cusa (1401-1464) said that there is no proportion between the finite mind and the infinite. He is fond of saying reason cannot fully comprehend the infinite. That our best hope for attaining a vision and understanding of infinite things is by mathematics and by the use of contemplating symbols, which help us grasp "the absolute infinite". By the late 19th century, there is a decisive intervention in mathematics and its (...): the philosophical mathematician Georg Cantor (1845-1918) says that between the realm of the finite and the absolute infinite, there is an intermediate realm partaking in properties in a certain sense of both the finite and the infinite: the transfinite realm. Like the finite, the transfinite realm is a realm of mathematical objects, numbers, and knowledge. Like the absolute infinite, the transfinite is a form of infinity insofar as transfinite sets and numbers transcend any finite number. Echoing Cusanus and neo-Platonism, Cantor says that the transfinite sequence of all ordinals is a symbol of the absolutely infinite, that is, God. Moreover, Cantor envisioned his transfinite set theory (Mengenlehre) as providing the analytical methods and techniques necessary for a comprehensive, organic, non-reductive description of nature, a Naturphilosophie. Thus Cantor’s novel mathematics is presented as part of a long tradition, to which Cusanus, Bruno, Spinoza, Leibniz and others belong, in which the infinity and infinite character of organic life forms is appreciated, and is in some sense a mirror or symbol of the divine. The doctrine of symbolism and their different approach to the laws of logic present in both the work of Cusanus and Cantor enables these thinkers to articulate a transcendental apophatic approach to divinity. (shrink)
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  3.  31
    The negative theology of absolute infinity: Cantor, mathematics, and humility.Rico Gutschmidt & Merlin Carl - forthcoming - International Journal for Philosophy of Religion:1-24.
    Cantor argued that absolute infinity is beyond mathematical comprehension. His arguments imply that the domain of mathematics cannot be grasped by mathematical means. We argue that this inability constitutes a foundational problem. For Cantor, however, the domain of mathematics does not belong to mathematics, but to theology. We thus discuss the theological significance of Cantor’s treatment of absolute infinity and show that it can be interpreted in terms of negative theology. Proceeding from this interpretation, we refer to the (...)
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  4.  47
    Studying Kanonbildung: An Exercise in a Distant Reading of Contemporary Self-descriptions of the 19th Century German Philosophy.Maxim Demin & Alexei Kouprianov - 2018 - Social Epistemology 32 (2):112-127.
    In 19th century Germany, the number of publications in the history of philosophy increased dramatically. According to Ulrich Schneider’s calculations, from 1810 through 1899, 148 original textbooks by 114 authors were published in German. The aim of this article is to analyse how the documented in these publications canonic vision of 19th century German philosophy evolved. An analysis of 66 treatises published from 1802 through 1918 allows dividing 19th century philosophers (...)
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  5. Another 19th-century German-history of philosophy and return to Kant in beneke, fe.R. Pettoello - 1990 - Rivista di Storia Della Filosofia 45 (1):81-111.
     
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  6.  63
    Antonio Banfi and 19th century German philosophy.Stefano Poggi - 2014 - Trans/Form/Ação 37 (3):201-216.
    Tra le figure più importanti del dibattito filosofico italiano del Novecento, Antonio Banfi ha svolto nell'Italia del secondo dopoguerra anche un ruolo politico di rilievo come senatore del PCI. La sua interpretazione del marxismo ha presentato una forte accentuazione umanistica. Tra i suoi scolari filosofi e storici della filosofia come Giulio Preti, Enzo Paci, Remo Cantoni, Paolo Rossi. Il saggio prende in esame la prima fase della riflessione filosofica di Banfi, nella quale ha una importanza decisiva la conoscenza diretta del (...)
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  7.  5
    Josiah Royce: pragmatist, ethicist, philosopher of religion.Christoph Seibert & Christian Polke (eds.) - 2021 - Tübingen: Mohr Siebeck.
    Josiah Royce was undoubtedly one of the most interesting thinkers of classical American philosophy in the transition from the 19th to the 20th century. His works cover a wide range of subjects from psychology and issues of social philosophy to metaphysics. Surrounded by philosophers such as William James or Charles Sanders Peirce, Royce developed a concept of pragmatism which he himself called "absolute pragmatism" and which was centred around a theory of community. The essays in (...)
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  8.  5
    The Doctrine of Three Types of Being in the Russian Theological-Academic Philosophy in the 19th Century.Irina Tsvyk & Daniil Kvon - 2023 - Philosophies 8 (4):53.
    The article is devoted to the analysis of the theological-academic ontological doctrine of the three types of being formulated within the framework of the Russian theological-academic philosophy of the 19th century. The study of this problem in the context of the general analysis of the phenomenon of theological-academic philosophy allows expanding our understanding of the genesis of Russian philosophy and its religious-philosophical component. The main aim of the article is the historical-philosophical analysis (on the material (...)
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  9.  8
    Productive Misunderstanding.German Melikhov - 2021 - Dialogue and Universalism 31 (2):231-245.
    The article focuses on understanding some of the self-evident premises of the philosophy of the 17th–19th centuries that make up the horizon of the Enlightenment. One of these premises is Immanuel Kant’s idea of independent thinking. Based on the analysis of the polemics of Kant and Friedrich Heinrich Jacobi about the “extrasensible abilities” of the reason, the question is raised about the possibility of understanding someone else’s concept based on other existential preferences. Answering this question, we distinguish between (...)
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  10.  12
    Jews and German philosophy: the polemics of emancipation.Nathan Rotenstreich - 1984 - New York: Schocken Books.
    Discusses the encounter between German philosophy and Judaism in the 18th-19th centuries, focusing on the Hegelian and Kantian systems, and analyzes their negative evaluation of Judaism. Explores also the views of Schopenhauer and Nietzsche, and Jewish responses.
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  11.  71
    The Importance of Fourteenth-Century Natural Philosophy for Nicholas of Cusa’s Infinite Universe.Sarah Powrie - 2013 - American Catholic Philosophical Quarterly 87 (1):33-53.
    This paper argues that Nicholas of Cusa’s investigation of infinity and incommensurability in De docta ignorantia was shaped by the mathematical innovations and thought experiments of fourteenth-century natural philosophy. Cusanus scholarship has overlooked this influence, in part because Raymond Klibansky’s influential edition of De docta ignorantia situated Cusa within the medieval Platonic tradition. However, Cusa departs from this tradition in a number of ways. His willingness to engage incommensurability and to compare different magnitudes of infinity distinguishes him from (...)
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  12. Themes of German neokantism in italian philosophy reviews at the end of the 19th-century.V. Danna - 1986 - Giornale Critico Della Filosofia Italiana 6 (2):249-263.
     
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  13. Georg Cantor’s Ordinals, Absolute Infinity & Transparent Proof of the Well-Ordering Theorem.Hermann G. W. Burchard - 2019 - Philosophy Study 9 (8).
    Georg Cantor's absolute infinity, the paradoxical Burali-Forti class Ω of all ordinals, is a monstrous non-entity for which being called a "class" is an undeserved dignity. This must be the ultimate vexation for mathematical philosophers who hold on to some residual sense of realism in set theory. By careful use of Ω, we can rescue Georg Cantor's 1899 "proof" sketch of the Well-Ordering Theorem––being generous, considering his declining health. We take the contrapositive of Cantor's suggestion and add Zermelo's choice (...)
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  14.  31
    Inductivism in 19TH Century German Economics.Karl Milford - 2004 - In Friedrich Stadler (ed.), Vienna Circle Institute Yearbook. Springer. pp. 273--291.
    In his The Poverty of Historicism 1 K.R. Popper and before him F. Kaufmann2 distinguish two broad classes of epistemological and methodological positions held in the social sciences: Antinaturalistic positions and pronaturalistic positions. These positions are distinguished with respect to their attitude regarding the applicability of the methods of the natural sciences, or rather what the representatives of the anti and pronaturalistic positions assume to be the method of the natural sciences. According to Popper and Kaufmann the representatives of antinaturalistic (...)
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  15. Religion and Early German Romanticism.Jacqueline Mariña - 2020 - In Elizabeth Millan (ed.), Palgrave Handbook of German Romantic Philosophy. Palgrave Macmillan.
    This paper explores the reception of Kant's understanding of consciousness by both Romantics and Idealists from 1785 to 1799, and traces its impact on the theory of religion. I first look at Kant's understanding of consciousness as developed in the first Critique, and then looks at how figures such as Fichte, Jacobi, Hölderlin, Novalis, and Schleiermacher received this theory of consciousness and its implications for their understanding of religion.
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  16.  15
    Philosophy of Mathematics.Roman Murawski & Thomas Bedürftig (eds.) - 2018 - De Gruyter.
    The present book is an introduction to the philosophy of mathematics. It asks philosophical questions concerning fundamental concepts, constructions and methods - this is done from the standpoint of mathematical research and teaching. It looks for answers both in mathematics and in the philosophy of mathematics from their beginnings till today. The reference point of the considerations is the introducing of the reals in the 19th century that marked an epochal turn in the foundations of mathematics. (...)
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  17. Reason, ideas and their functions in classical German philosophy [in Russian] | Разум, идеи и их функции в классической немецкой философии.Michael Lewin - 2020 - Vestnik of Saint Petersburg University. Philosophy and Conflict Studies 36 (1):4-23.
    Over the last two decades there has been a growing interest in the transcendental dialectic of Critique of Pure Reason in Germany. Authors, however, often do not pay enough attention to the fact that Kant’s theory of reason (in the narrow sense) and the concept of ideas derived from it is not limited to this text. The purpose of this article is to compare and analyze the functionality of mind as a subjective ability developed by Kant and Fichte with the (...)
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  18.  9
    The 19th-century nosology of alienism: history and epistemology.German E. Berrios - 2012 - In Kenneth S. Kendler & Josef Parnas (eds.), Philosophical Issues in Psychiatry Ii: Nosology. Oxford University Press. pp. 101.
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  19.  20
    The Politics of German Idealism: Law and Social Change at the Turn of the 19th Century.Simon Pistor - forthcoming - Contemporary Political Theory:1-4.
  20.  18
    History of German Agriculture from the Early Middle Ages until the 19th Century[REVIEW]Ulrich Planck - 1980 - Philosophy and History 13 (2):182-182.
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  21.  23
    German Parliamentary Documents from the Beginning of the 19th Century to 1945. [REVIEW]Gerhard Robbers - 1989 - Philosophy and History 22 (1):112-112.
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  22. German Philosophy 1760–1860: The Legacy of Idealism.Terry Pinkard - 2002 - New York: Cambridge University Press.
    In the second half of the eighteenth century, German philosophy came for a while to dominate European philosophy. It changed the way in which not only Europeans, but people all over the world, conceived of themselves and thought about nature, religion, human history, politics, and the structure of the human mind. In this rich and wide-ranging book, Terry Pinkard interweaves the story of 'Germany' - changing during this period from a loose collection of principalities into (...)
     
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  23.  16
    Faraday,michael - sandemanian and scientist - a study of science and religion in the 19th-century - Cantor,G.Crosbie Smith - 1992 - Royal Society Journal of the History of Science 46 (2).
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  24. Oxford Handbook of German Philosophy in the Nineteenth Century.Michael N. Forster & Kristin Gjesdal (eds.) - 2015 - Oxford: Oxford University Press.
    This volume constitutes the first collective critical study of German philosophy in the nineteenth century. A team of leading experts explore the influential figures associated with the period--including Hegel, Kierkegaard, Nietzsche, and Frege--and provide fresh accounts of the philosophical movements and key debates with which they engaged.
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  25.  91
    The mystery of the aleph: mathematics, the Kabbalah, and the search for infinity.Amir D. Aczel - 2000 - New York: Four Walls Eight Windows.
    From the end of the 19th century until his death, one of history's most brilliant mathematicians languished in an asylum. The Mystery of the Aleph tells the story of Georg Cantor (1845-1918), a Russian-born German who created set theory, the concept of infinite numbers, and the "continuum hypothesis," which challenged the very foundations of mathematics. His ideas brought expected denunciation from established corners - he was called a "corruptor of youth" not only for his work in mathematics, (...)
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  26.  69
    Chinese and Buddhist philosophy in Early Twentieth-Century German thought.Eric Sean Nelson - 2017 - London: Bloomsbury.
    Presenting a comprehensive portrayal of the reading of Chinese and Buddhist philosophy in early 20th-century German thought, Chinese and Buddhist Philosophy in early Twentieth-Century German Thought examines the implications of these readings for contemporary issues in comparative and intercultural philosophy. Through a series of case studies from the late 19th-century and early 20th-century, Eric Nelson focuses on the reception and uses of Confucianism, Daoism, and Buddhism in German philosophy, (...)
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  27. Laozi Through the Lens of the White Rose: Resonance or Dissonance?Lea Cantor - 2023 - Oxford German Studies 52 (1):62-79.
    A surprising feature of the White Rose anti-Nazi resistance pamphlets is their appeal to a foundational classical Chinese text, the Laozi (otherwise known as the Daodejing), to buttress their critique of fascism and authoritarianism. I argue that from the perspective of a 1942 educated readership, the act of quoting the Laozi functioned as a subtle and pointed nod to anti-fascist intellectuals in pre-war Germany, many of whom had interpreted the Laozi as an anti-authoritarian and pacifist text. To a sympathetic reader, (...)
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  28.  20
    Language and thought: German approaches to analytic philosophy in the 18th and 19th centuries.Michael Benedikt - 1993 - History of European Ideas 17 (5):688-690.
  29.  14
    Romanticism and the Re-Invention of Modern Religion: The Reconciliation of German Idealism and Platonic Realism.Alexander J. B. Hampton - 2019 - Cambridge University Press.
    Early German Romanticism sought to respond to a comprehensive sense of spiritual crisis that characterised the late eighteenth century. The study demonstrates how the Romantics sought to bring together the new post-Kantian idealist philosophy with the inheritance of the realist Platonic-Christian tradition. With idealism they continued to champion the individual, while from Platonism they took the notion that all reality, including the self, participated in absolute being. This insight was expressed, not in the language of theology (...)
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  30. ""The" Jewish question" by Marx and the origins of historical materialism in the literary culture and German philosophy of the early 19th century part 2.Renato Pallavidini - 2005 - Filosofia 56 (2-3):A1 - A30.
     
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  31. Thales – the ‘first philosopher’? A troubled chapter in the historiography of philosophy.Lea Cantor - 2022 - British Journal for the History of Philosophy 30 (5):727-750.
    It is widely believed that the ancient Greeks thought that Thales was the first philosopher, and that they therefore maintained that philosophy had a Greek origin. This paper challenges these assumptions, arguing that most ancient Greek thinkers who expressed views about the history and development of philosophy rejected both positions. I argue that not even Aristotle presented Thales as the first philosopher, and that doing so would have undermined his philosophical commitments and interests. Beyond Aristotle, the view that (...)
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  32.  18
    Sources on German Economic and Social History in the 19th Century up until the Establishment of the Empire. [REVIEW]Michael Behnen - 1985 - Philosophy and History 18 (1):79-79.
  33. Lent & Easter Terms, 1912. Syllabus of a Course of Lectures on German Philosophy in the 19th Century.George Dawes Hicks - 1912
     
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  34. Intellectual disciplines and natural-sciences as trends in German philosophy during the 2nd-half of the 19th-century.A. Meschiari - 1994 - Giornale Critico Della Filosofia Italiana 14 (1):139-148.
     
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  35.  13
    Philosophy of Life: German Lebensphilosophie 1870-1920.Frederick C. Beiser - 2023 - Oxford, GB: Oxford University Press.
    This book is an account of the philosophical movement named Lebensphilosophie, which flourished at the end of the 19th and the beginning of the 20th century. There many philosophers who participated in the movement, but this book concentrates on the three most important: Friedrich Nietzsche, Wilhelm Dilthey and Georg Simmel. The movement was called Lebensphilosophie—literally, philosophy of life—because its main interest was not life as a biological phenomenon but life as it is lived by human beings. They (...)
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  36.  26
    The Paradox of Kant’s Transcendental Subject in German Philosophy in the Late Eighteenth Century.M. V. Rouba - 2020 - Kantian Journal 39 (2):7-25.
    The study of the “first wave” of reactions to the Critique of Pure Reason in Germany from the second half of the 1780s until the beginning of the nineteenth century reveals the paradoxical status of the Kantian transcendental subject. While the existence of the transcendental subject, whatever the term means, is not open to question since it arises from the very essence of critical philosophy, the fundamental status of the subject is sometimes questioned in this period. Although the (...)
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  37. Zhuangzi on ‘happy fish’ and the limits of human knowledge.Lea Cantor - 2020 - British Journal for the History of Philosophy 28 (2):216-230.
    The “happy fish” passage concluding the “Autumn Floods” chapter of the Classical Chinese text known as the Zhuangzi has traditionally been seen to advance a form of relativism which precludes objectivity. My aim in this paper is to question this view with close reference to the passage itself. I further argue that the central concern of the two philosophical personae in the passage – Zhuangzi and Huizi – is not with the epistemic standards of human judgements (the established view since (...)
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  38.  96
    The Romantic Absolute: Being and Knowing in Early German Romantic Philosophy, 1795-1804.Dalia Nassar - 2013 - London: University of Chicago Press.
    The absolute was one of the most significant philosophical concepts in the early nineteenth century, particularly for the German romantics. Its exact meaning and its role within philosophical romanticism remain, however, a highly contested topic among contemporary scholars. In The Romantic Absolute, I offer a new assessment of the romantics and their understanding of the absolute, filling an important gap in the history of philosophy, especially with respect to the crucial period between Kant and (...)
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  39.  88
    Suicide in Contemporary Western Philosophy I: the 19th century.Patrick Hassan - 2024 - In .
    This chapter explores some of the major developments in the philosophical understanding of suicide in 19th Century Western thought. Two developments in particular are considered. The first is a widespread shift towards thinking about suicide in medical terms rather than moral terms. Deploying methods initiated by a number of French and German thinkers in the preceding century who worked at the then emerging interface between the social and biological sciences, a number of 19th century (...)
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  40.  21
    Aristotelian Studies in 19th Century Philosophy.Christof Rapp, Colin G. King & Gerald Hartung (eds.) - 2018 - Boston: De Gruyter.
    Aristotelian philosophy played an important part in the history of 19th century philosophy and science but has been largely neglected by researchers. A key element in the newly emerging historiography of ancient philosophy, Aristotelian philosophy served at the same time as a corrective guide in a wide range of projects in philosophy. This volume examines both aspects of this reception history.
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  41.  13
    Perception of Islam in 19th Century German-Jewish Orientalism.Necmettin Salih EKİZ - 2022 - Sakarya Üniversitesi İlahiyat Fakültesi Dergisi 24 (45):235-260.
    In this study, the perception of Islam by 19th century German-Jewish orientalists is discussed. The study consists of four titles, excluding the introduction and conclusion. Firstly, general information about German orientalism is given, its relationship with imperialism and colonial activities is questioned, and attention is drawn to its connection with other orientalist traditions such as British and French. According to the researchers, the relationship of German orientalists with colonial activities was not as intense as the (...)
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  42.  2
    Christopher Yeomans, The Politics of German Idealism: Law and Social Change at the Turn of the 19th Century (Oxford: Oxford University Press, 2023). [REVIEW]Georg Spoo - 2023 - Graduate Faculty Philosophy Journal 44 (1):310-314.
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  43.  87
    Philosophy and Religion In The Nineteenth and Twentieth Centuries.John Macquarrie - 1977 - The Monist 60 (2):269-277.
    The debate over religion and, more especially, Christianity, seems today as far from being finished as ever. To be sure, Christianity has sharply declined in the West and its fundamental doctrine, belief in God, has become for many incredible or even scarcely intelligible. Yet there is also a sense in which the West cannot help being Christian, for Christianity has so deeply entered into our history and institutions that even when it is explicitly rejected, it still continues to shape (...)
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  44.  17
    Eighteenth and Nineteenth Centuries Scottish Philosophy and British Physics 1750–1880. A Study in the Foundations of the Victorian Scientific Style. By Richard Olson. Princeton, N.J.: Princeton University Press, 1975. Pp. viii + 350. £11.00. [REVIEW]G. N. Cantor - 1977 - British Journal for the History of Science 10 (1):81-84.
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  45.  16
    Love, Recognition, Spirit: Hegel's Philosophy of Religion.Robert R. Williams - 2011 - In Stephen Houlgate & Michael Baur (eds.), A Companion to Hegel. Malden, MA: Wiley‐Blackwell. pp. 385–413.
    This chapter contains sections titled: Hegel on Love: The Early Theological Writings Recognition and Spirit: Hegel's Appropriation and Critique of Fichte Hegel's Philosophical Theology: Love, Reconciliation, True Infinity.
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  46. The Course of Human Development: 19th-century Comparative Linguistics from Schlegel to Schleicher.Jennifer Mensch - 2019 - International Yearbook for Hermeneutics 18 (1):140-154.
    The investigation that I am going to pursue here is part of a larger effort on my part to understand the relationship between Kant’s so-called “philosophical anthropology” and the development of early German anthropology since it is my sense that Kant had a determinate, if indirect, effect on the history of that separate field. For now this larger project has three main foci: an account of Kant’s philosophical anthropology in all its parts, an inquiry into Kant’s relationship to the (...)
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  47.  24
    Philosophy in Atomic Physics.Enrico Cantore - 1957 - Modern Schoolman 34 (2):79-104.
  48.  9
    Philosophy in Atomic Physics.Enrico Cantore - 1957 - Modern Schoolman 34 (2):79-104.
  49.  7
    Philosophy in Atomic Physics.Enrico Cantore - 1957 - Modern Schoolman 34 (2):79-104.
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  50.  10
    Philosophy of religion: an annotated bibliography of twentieth-century writings in English.William J. Wainwright (ed.) - 1978 - New York: Garland.
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