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Author: David W. Wood
Publisher: Rodopi
ISBN: 9401207682
Category : Philosophy
Languages : en
Pages : 312
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Book Description
This is the first major study in any language on J.G. Fichte’s philosophy of mathematics and theory of geometry. It investigates both the external formal and internal cognitive parallels between the axioms, intuitions and constructions of geometry and the scientific methodology of the Fichtean system of philosophy. In contrast to “ordinary” Euclidean geometry, in his Erlanger Logik of 1805 Fichte posits a model of an “ursprüngliche” or original geometry – that is to say, a synthetic and constructivistic conception grounded in ideal archetypal elements that are grasped through geometrical or intelligible intuition. Accordingly, this study classifies Fichte’s philosophy of mathematics as a whole as a species of mathematical Platonism or neo-Platonism, and concludes that the Wissenschaftslehre itself may be read as an attempt at a new philosophical mathesis, or “mathesis of the mind.”
Author: David W. Wood
Publisher: Brill Rodopi
ISBN: 9789042034914
Category : Mathematics
Languages : en
Pages : 304
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Book Description
This is the first major study in any language on J.G. Fichte's philosophy of mathematics and theory of geometry. It investigates both the external formal and internal cognitive parallels between the axioms, intuitions and constructions of geometry and the scientific methodology of the Fichtean system of philosophy. In contrast to "ordinary" Euclidean geometry, in his "Erlanger Logik "of 1805 Fichte posits a model of an "ursprungliche" or original geometry - that is to say, a synthetic and constructivistic conception grounded in ideal archetypal elements that are grasped through geometrical or intelligible intuition. Accordingly, this study classifies Fichte's philosophy of mathematics as a whole as a species of mathematical Platonism or neo-Platonism, and concludes that the "Wissenschaftslehre "itself may be read as an attempt at a new philosophical mathesis, or "mathesis of the mind." "This work testifies to the author's exact and extensive knowledge of the Fichtean texts, as well as of the philosophical, scientific and historical contexts. Wood has opened up completely new paths for Fichte research, and examines with clarity and precision a domain that up to now has hardly been researched." Professor Dr. Marco Ivaldo (University of Naples) "This study, written in a language distinguished by its limpidity and precision, and constantly supported by a close reading of the Fichtean texts and secondary literature, furnishes highly detailed and convincing demonstrations. In directly confronting the difficult historical relationship between the "Wissenschaftslehre "and mathematics, the author has broken new ground that is at once stimulating, decidedly innovative, and elegantly audacious." Professor Dr. Emmanuel Cattin (Universite Blaise-Pascal, Clermont-Ferrand)
Author: David W. Wood
Publisher:
ISBN:
Category :
Languages : fr
Pages : 50
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Book Description
Cette thèse est une étude du rôle de la géométrie dans la philosophie du penseur idéaliste allemand Johann Gottlieb Fichte (1762-1814) dans son œuvre majeure : la Doctrine de la science, en ses différentes versions de 1794 à 1814. Nous proposons une reconstruction de sa philosophie des mathématiques fondée sur le texte fragmentaire de l’Erlanger Logik (1805). La philosophie fichtéenne des mathématiques repose sur neuf éléments principaux. Elle a pour fondement un modèle de géométrie synthétique et transcendantale ; pour point de départ, des éléments archétypaux (Ur) ou idéaux ; et elle est platonicienne quant à son statut ontologique. Elle tente également de résoudre le problème des lignes parallèles et de déduire les dimensions de l’espace. En outre, la théorie fichtéenne de la connaissance mathématique repose sur l’intuition et la construction qui sont interprétées comme des paradigmes pour l’intuition et la construction philosophiques. Toutefois, Fichte montre que toutes les intuitions et constructions spécifiques de la géométrie sont fondées dans les intuitions et constructions plus universelles de sa philosophie. Par ailleurs, les éléments fondamentaux de la géométrie, tels que le point, la ligne et le tracer d’une ligne fournissent chacun une image (Bild) philosophique des divers actes et activités du moi. Enfin, le premier principe ou Grundsatz de sa Doctrine de la science possède, selon Fichte, les mêmes caractéristiques que les premiers postulats de la géométrie : évidence, certitude et irréfutabilité. C’est pourquoi il considère l’étude de la géométrie et des mathématiques pures comme une parfaite propédeutique à l’étude de son système de philosophie.
Author: Wolff-Michael Roth
Publisher: Springer
ISBN: 9783030518110
Category : Mathematics
Languages : en
Pages : 260
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Book Description
This monograph uses the concept and category of “event” in the study of mathematics as it emerges from an interaction between levels of cognition, from the bodily experiences to symbolism. It is subdivided into three parts.The first moves from a general characterization of the classical approach to mathematical cognition and mind toward laying the foundations for a view on the mathematical mind that differs from going approaches in placing primacy on events.The second articulates some common phenomena–mathematical thought, mathematical sign, mathematical form, mathematical reason and its development, and affect in mathematics–in new ways that are based on the previously developed ontology of events. The final part has more encompassing phenomena as its content, most prominently the thinking body of mathematics, the experience in and of mathematics, and the relationship between experience and mind. The volume is well-suited for anyone with a broad interest in educational theory and/or social development, or with a broad background in psychology.
Author: Roger Penrose
Publisher: Oxford University Press, USA
ISBN: 9780195106466
Category : Computers
Languages : en
Pages : 484
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Book Description
Presents the author's thesis that consciousness, in its manifestation in the human quality of understanding, is doing something that mere computation cannot; and attempts to understand how such non-computational action might arise within scientifically comprehensive physical laws.
Author: Joshua Ramey
Publisher: Duke University Press
ISBN: 082235229X
Category : Body, Mind & Spirit
Languages : en
Pages : 305
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Book Description
In this book, Joshua Ramey examines the extent to which Gilles Deleuze's ethics, metaphysics, and politics were informed by, and can only be fully understood through, this hermetic tradition.
Author: Lawrence Nolan
Publisher: Cambridge University Press
ISBN: 1316380939
Category : Philosophy
Languages : en
Pages : 1642
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Book Description
The Cambridge Descartes Lexicon is the definitive reference source on René Descartes, 'the father of modern philosophy' and arguably among the most important philosophers of all time. Examining the full range of Descartes' achievements and legacy, it includes 256 in-depth entries that explain key concepts relating to his thought. Cumulatively they uncover interpretative disputes, trace his influences, and explain how his work was received by critics and developed by followers. There are entries on topics such as certainty, cogito ergo sum, doubt, dualism, free will, God, geometry, happiness, human being, knowledge, Meditations on First Philosophy, mind, passion, physics, and virtue, which are written by the largest and most distinguished team of Cartesian scholars ever assembled for a collaborative research project - 92 contributors from ten countries.
Author: Daniel Breazeale
Publisher: OUP Oxford
ISBN: 0191509906
Category : Philosophy
Languages : en
Pages : 483
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Book Description
Daniel Breazeale presents a critical study of the early philosophy of J.G. Fichte, and the version of the Wissenschaftslehre or 'doctrine of science' that Fichte developed in Jena between 1794 and 1799. The book is intended to assist serious readers in their efforts to understand Fichte's philosophy within the context of its own era and to orient them in the ongoing scholarly debates concerning the character and significance of the Wissenschaftslehre. Breazeale focuses on explaining what Fichte was (and was not) trying to accomplish and precisely how he proposed to accomplish this, as well as upon the difficulties implicit in his project and his often novel strategies for overcoming them. To this end, the volume addresses a variety of specific themes, issues, and problems that will be familiar to any student of Fichte's early writings and which continue to be fiercely debated by his interpreters. These include: the relationship of the finite human self to the purely self-positing I, transcendental philosophy as a 'pragmatic history of the mind', Fichte's 'synthetic' method of philosophizing, the standpoint of life vs. the standpoint of speculation, the extra-philosophical presuppositions and implications of the Wissenschaftslehre, the different senses of 'intellectual intuition' in Fichte's early writings, the controversial doctrine of the 'check' (Anstoß) upon the free actions of the I, the various theoretical and practical tasks of philosophy, the refutation of dogmatism and the 'choice' of a philosophical standpoint, the relationship of transcendental idealism to skepticism, the interests of reason, and the problematic 'primacy of the practical' in Fichte's thought.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 614
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Book Description
Author:
Publisher:
ISBN:
Category : Children's periodicals, American
Languages : en
Pages : 608
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Book Description
Author: Robert R. Clewis
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110384493
Category : Philosophy
Languages : en
Pages : 641
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Book Description
This important collection of more than twenty original essays by prominent Kant scholars covers the multiple aspects of Kant’s teaching in relation to his published works. With the Academy edition’s continuing publication of Kant’s lectures, the role of his lecturing activity has been drawing more and more deserved attention. Several of Kant’s lectures on metaphysics, logic, ethics, anthropology, theology, and pedagogy have been translated into English, and important studies have appeared in many languages. But why study the lectures? When they are read in light of Kant’s published writings, the lectures offer a new perspective of Kant’s philosophical development, clarify points in the published texts, consider topics there unexamined, and depict the intellectual background in richer detail. And the lectures are often more accessible to readers than the published works. This book discusses all areas of Kant's lecturing activity. Some essays even analyze in detail the content of Kant's courses and the role of textbooks written by key authors such as Baumgarten, helping us understand Kant’s thought in its intellectual and historical contexts. Contributors: Huaping Lu-Adler; Henny Blomme ; Robert Clewis; Alix Cohen; Corey Dyck; Faustino Fabbianelli; Norbert Fischer; Courtney Fugate; Paul Guyer; Robert Louden; Antonio Moretto; Steve Naragon; Christian Onof; Stephen Palmquist; Riccardo Pozzo; Frederick Rauscher; Dennis Schulting; Oliver Sensen; Susan Shell; Werner Stark; John Zammito; Günter Zöller
