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Author: Stefania Centrone
Publisher: Springer Nature
ISBN: 3030204472
Category : Philosophy
Languages : en
Pages : 375
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Book Description
In a fragment entitled Elementa Nova Matheseos Universalis (1683?) Leibniz writes “the mathesis [...] shall deliver the method through which things that are conceivable can be exactly determined”; in another fragment he takes the mathesis to be “the science of all things that are conceivable.” Leibniz considers all mathematical disciplines as branches of the mathesis and conceives the mathesis as a general science of forms applicable not only to magnitudes but to every object that exists in our imagination, i.e. that is possible at least in principle. As a general science of forms the mathesis investigates possible relations between “arbitrary objects” (“objets quelconques”). It is an abstract theory of combinations and relations among objects whatsoever. In 1810 the mathematician and philosopher Bernard Bolzano published a booklet entitled Contributions to a Better-Grounded Presentation of Mathematics. There is, according to him, a certain objective connection among the truths that are germane to a certain homogeneous field of objects: some truths are the “reasons” (“Gründe”) of others, and the latter are “consequences” (“Folgen”) of the former. The reason-consequence relation seems to be the counterpart of causality at the level of a relation between true propositions. Arigorous proof is characterized in this context as a proof that shows the reason of the proposition that is to be proven. Requirements imposed on rigorous proofs seem to anticipate normalization results in current proof theory. The contributors of Mathesis Universalis, Computability and Proof, leading experts in the fields of computer science, mathematics, logic and philosophy, show the evolution of these and related ideas exploring topics in proof theory, computability theory, intuitionistic logic, constructivism and reverse mathematics, delving deeply into a contextual examination of the relationship between mathematical rigor and demands for simplification.
Author: Stefania Centrone
Publisher: Springer Nature
ISBN: 3030204472
Category : Philosophy
Languages : en
Pages : 375
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Book Description
In a fragment entitled Elementa Nova Matheseos Universalis (1683?) Leibniz writes “the mathesis [...] shall deliver the method through which things that are conceivable can be exactly determined”; in another fragment he takes the mathesis to be “the science of all things that are conceivable.” Leibniz considers all mathematical disciplines as branches of the mathesis and conceives the mathesis as a general science of forms applicable not only to magnitudes but to every object that exists in our imagination, i.e. that is possible at least in principle. As a general science of forms the mathesis investigates possible relations between “arbitrary objects” (“objets quelconques”). It is an abstract theory of combinations and relations among objects whatsoever. In 1810 the mathematician and philosopher Bernard Bolzano published a booklet entitled Contributions to a Better-Grounded Presentation of Mathematics. There is, according to him, a certain objective connection among the truths that are germane to a certain homogeneous field of objects: some truths are the “reasons” (“Gründe”) of others, and the latter are “consequences” (“Folgen”) of the former. The reason-consequence relation seems to be the counterpart of causality at the level of a relation between true propositions. Arigorous proof is characterized in this context as a proof that shows the reason of the proposition that is to be proven. Requirements imposed on rigorous proofs seem to anticipate normalization results in current proof theory. The contributors of Mathesis Universalis, Computability and Proof, leading experts in the fields of computer science, mathematics, logic and philosophy, show the evolution of these and related ideas exploring topics in proof theory, computability theory, intuitionistic logic, constructivism and reverse mathematics, delving deeply into a contextual examination of the relationship between mathematical rigor and demands for simplification.
Author: Julius Firmicus Maternus
Publisher: American Federation of Astrologers
ISBN: 9780866906432
Category : Body, Mind & Spirit
Languages : en
Pages : 620
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Book Description
This book contains a translation of the Eight Books of the Mathesis by the 4th century astrologer Julius Firmicus Maternus along with some useful Indexes of Occupations, the Causes of Death, and Personal Characteristics. Book I: An essay on what astrology is Book II: The twelve signs Book III: Aspects and house placement of planets Book IV: Chart Interpretation Book V: The angles and the terms Book VI: The aspects Book VII: Life and death Book VIII: The degrees of the signs The translator, James H. Holden, is a well respected astrological scholar who has translated more than twenty astrology books that were written between the 2nd and 17th centuries. He is also the author of A History of Horoscopic Astrology.
Author: Tarek Dika
Publisher: Oxford University Press
ISBN: 0192869868
Category : Philosophy
Languages : en
Pages : 407
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Book Description
Tarek Dika presents a systematic account of Descartes' method and its efficacy. He develops an ontological interpretation of Descartes's method as a dynamic and, within limits, differentiable problem-solving cognitive disposition or habitus, which can be actualized or applied to different problems in various ways, depending on the nature of the problem. Parts I-II of the book develop the foundations of such an habitual interpretation of Descartes's method, while Parts III-V demonstrate the fruits of such an interpretation in metaphysics, natural philosophy, and mathematics. This is the first book to draw on the recently-discovered Cambridge manuscript of Descartes's Rules for the Direction of the Mind (1620s): it gives a concrete demonstration of the efficacy of Descartes's method in the sciences and of the underlying unity of Descartes's method from Rules for the Direction of the Mind to Principles of Philosophy (1644).
Author: C. Sasaki
Publisher: Springer Science & Business Media
ISBN: 9401712255
Category : Mathematics
Languages : en
Pages : 502
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Book Description
Covering both the history of mathematics and of philosophy, Descartes's Mathematical Thought reconstructs the intellectual career of Descartes most comprehensively and originally in a global perspective including the history of early modern China and Japan. Especially, it shows what the concept of "mathesis universalis" meant before and during the period of Descartes and how it influenced the young Descartes. In fact, it was the most fundamental mathematical discipline during the seventeenth century, and for Descartes a key notion which may have led to his novel mathematics of algebraic analysis.
Author: Andreas Koenig
Publisher: Springer Science & Business Media
ISBN: 3642238629
Category : Computers
Languages : en
Pages : 726
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Book Description
The four-volume set LNAI 6881-LNAI 6884 constitutes the refereed proceedings of the 15th International Conference on Knowledge-Based Intelligent Information and Engineering Systems, KES 2011, held in Kaiserslautern, Germany, in September 2011. Part 2: The total of 244 high-quality papers presented were carefully reviewed and selected from numerous submissions. The 70 papers of Part 2 are organized in topical sections on web intelligence, text and multimedia mining and retrieval, intelligent tutoring systems and e-learning environments, other / misc. intelligent systems topics, methods and techniques of artificial and computational intelligence in economics, finance and decision making, workshop on seamless integration of semantic technologies in computer-supported office work (sistcow), innovations in chance discovery, advanced knowledge-based systems, recent trends in knowledge engineering, smart systems, and their applications.
Author: Robert R. Clewis
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110345331
Category : Philosophy
Languages : en
Pages : 624
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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
Author: Robin Mackay
Publisher: MIT Press
ISBN: 0956775055
Category : Philosophy
Languages : en
Pages : 459
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Book Description
Explorations of Deleuze's work by pioneering thinkers from philosophy, aesthetics, music, and architecture. A collection of explorations of the work of Gilles Deleuze by pioneering thinkers in the fields of philosophy, aesthetics, music, and architecture. The volume also includes a previously untranslated early text by Deleuze and a short interview, along with a fascinating piece of vintage science fiction from one of his more obscure influences. The contributors to this volume aim to clarify, from a variety of perspectives, Deleuze's contribution to philosophy: in what does his philosophical originality lie; what does he appropriate from other philosophers and how does he transform it? And how can the apparently disparate threads of his work to be “integrated”—What is the precise nature of the constellation of the aesthetic, the conceptual and the political proposed by Gilles Deleuze, and what are the overarching problems in which the numerous philosophical concepts “signed Deleuze” converge? As an annex to the second volume of Collapse, this volume also include a full transcript of the workshop on “Speculative Realism” held in London in 2007.
Author: Ladislav Kvasz
Publisher: Springer Nature
ISBN: 3031570618
Category :
Languages : en
Pages : 85
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Book Description
Author: Jan Palkoska
Publisher: Cambridge Scholars Publishing
ISBN: 1443893579
Category : Philosophy
Languages : en
Pages : 408
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Book Description
It has been acknowledged that, while Descartes’s usage of the term “a priori” is at odds with the now-current Kantian meaning, it also fails to correspond to the standard Aristotelian notion. However, there is, as yet, little agreement as to the exact positive meaning Descartes associates with the term. As such, this book offers a clear and historically adequate account of this disputed issue. Descartes’s concept of apriority is interpreted as resulting from an interplay of two trends: development of a universal method of discovery based upon Descartes’s ground-breaking reinterpretation of heuristic procedures in mathematics, and a substantial transformation of the Renaissance-Aristotelian conception of scientific reasoning. This interpretation stems from a fresh and innovative account of some central and controversial topics of Descartes scholarship and from a historically-informed outline of the situation in mathematics and in philosophy of science in Descartes’s times. The book will thus contribute to a better understanding of several fundamental issues in the philosopher’s thought. It will also help to shed light upon the challenging and strangely neglected question of why Kant decided to employ the term “a priori” in a way which differs so dramatically from the once well-established Aristotelian usage.
Author: Royal Society (Great Britain)
Publisher:
ISBN:
Category : Learned institutions and societies
Languages : en
Pages : 852
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Book Description
