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Author: Gottlob Frege Publisher: John Wiley & Sons ISBN: 0631126945 Category : Mathematics Languages : en Pages : 146
Book Description
A philosophical discussion of the concept of number In the book, The Foundations of Arithmetic: A Logico-Mathematical Enquiry into the Concept of Number, Gottlob Frege explains the central notions of his philosophy and analyzes the perspectives of predecessors and contemporaries. The book is the first philosophically relevant discussion of the concept of number in Western civilization. The work went on to significantly influence philosophy and mathematics. Frege was a German mathematician and philosopher who published the text in 1884, which seeks to define the concept of a number. It was later translated into English. This is the revised second edition.
Author: Gottlob Frege Publisher: John Wiley & Sons ISBN: 0631126945 Category : Mathematics Languages : en Pages : 146
Book Description
A philosophical discussion of the concept of number In the book, The Foundations of Arithmetic: A Logico-Mathematical Enquiry into the Concept of Number, Gottlob Frege explains the central notions of his philosophy and analyzes the perspectives of predecessors and contemporaries. The book is the first philosophically relevant discussion of the concept of number in Western civilization. The work went on to significantly influence philosophy and mathematics. Frege was a German mathematician and philosopher who published the text in 1884, which seeks to define the concept of a number. It was later translated into English. This is the revised second edition.
Author: Giovanni Sommaruga Publisher: Springer Science & Business Media ISBN: 9400704313 Category : Mathematics Languages : en Pages : 312
Book Description
The book "Foundational Theories of Classical and Constructive Mathematics" is a book on the classical topic of foundations of mathematics. Its originality resides mainly in its treating at the same time foundations of classical and foundations of constructive mathematics. This confrontation of two kinds of foundations contributes to answering questions such as: Are foundations/foundational theories of classical mathematics of a different nature compared to those of constructive mathematics? Do they play the same role for the resp. mathematics? Are there connections between the two kinds of foundational theories? etc. The confrontation and comparison is often implicit and sometimes explicit. Its great advantage is to extend the traditional discussion of the foundations of mathematics and to render it at the same time more subtle and more differentiated. Another important aspect of the book is that some of its contributions are of a more philosophical, others of a more technical nature. This double face is emphasized, since foundations of mathematics is an eminent topic in the philosophy of mathematics: hence both sides of this discipline ought to be and are being paid due to.
Author: Burt C. Hopkins Publisher: Indiana University Press ISBN: 0253005272 Category : Philosophy Languages : en Pages : 593
Book Description
Burt C. Hopkins presents the first in-depth study of the work of Edmund Husserl and Jacob Klein on the philosophical foundations of the logic of modern symbolic mathematics. Accounts of the philosophical origins of formalized concepts—especially mathematical concepts and the process of mathematical abstraction that generates them—have been paramount to the development of phenomenology. Both Husserl and Klein independently concluded that it is impossible to separate the historical origin of the thought that generates the basic concepts of mathematics from their philosophical meanings. Hopkins explores how Husserl and Klein arrived at their conclusion and its philosophical implications for the modern project of formalizing all knowledge.
Author: Christopher J. Insole Publisher: Routledge ISBN: 1317018214 Category : Religion Languages : en Pages : 245
Book Description
Taking into consideration analytical, continental, historical, post-modern and contemporary thinkers, Insole provides a powerful defence of a realist construal of religious discourse. Insole argues that anti-realism tends towards absolutism and hubris. Where truth is exhausted by our beliefs about truth, there is no conceptual space for doubting those beliefs; only a conception of truth as absolute, given and accessible can guarantee the very humility, sense of fallibility and sensitivity to difference that the anti-realist rightly values. Cutting through some of the tired and well-rehearsed debates in this area, Insole provides a fresh perspective on approaches influenced by Wittgenstein, Kant, and apophatic theology. The defence of realism offered is unusual in being both analytically precise, and theologically sensitive, with a view to some of the wider and less well-explored cultural, ethical and political implications of the debate.
Author: Jarkko Kari Publisher: Springer ISBN: 3319994980 Category : Computers Languages : en Pages : 359
Book Description
This book constitutes the refereed proceedings of the 10th International Conference on Reversible Computation, RC 2018, held in Leicester, UK, in September 2018. The 13 full, 7 short, and one tutorial papers included in this volume together with four invited talks were carefully reviewed and selected from 28 submissions. The papers are organized in the following topical sections: reversible concurrent computation; quantum circuits; reversible programming languages; and applications.
Author: Annalisa Bossi Publisher: Springer Science & Business Media ISBN: 3540676287 Category : Computers Languages : en Pages : 322
Book Description
This volume contains the proceedings of the ninth international workshop on logic-based program synthesis and transformation (LOPSTR’99) which was held in Venice (Italy), September 22-24, 1999. LOPSTRistheannualworkshopandforumforresearchersinthelogic-based program development stream of computational logic. The main focus used to be on synthesis and transformation of logic programs, but the workshop is open to contributions on logic-based program development in any paradigm. Previous workshops were held in Manchester, UK (1991, 1992), Louvain-la-Neuve, B- gium (1993), Pisa, Italy (1994), Arnhem, The Netherlands (1995), Stockholm, Sweden (1996), Leuven, Belgium (1997), and Manchester, UK (1998). LOPSTR is a real workshop in the sense that it is a friendly and lively forum for presenting recent and current research as well as discussing future trends. Formal proceedings of the workshop are produced only after the workshop and contain only those papers selected by the program committee after a second refereeing process. The program committee of LOPSTR’99 accepted 20 extended abstracts for presentation at the workshop; then selected 14 papers for inclusion in the po- workshop proceedings. Selected papers cover all the main streams of LOPSTR’s topics: synthesis, specialization, transformation, analysis, and veri?cation. Ve- ?cation, transformation, and specialization methods are applied to functional, constraint, logic, and imperative programming.
Author: Marina L. Gavrilova Publisher: Springer ISBN: 366250412X Category : Computers Languages : en Pages : 152
Book Description
The LNCS journal Transactions on Computational Science reflects recent developments in the field of Computational Science, conceiving the field not as a mere ancillary science but rather as an innovative approach supporting many other scientific disciplines. The journal focuses on original high-quality research in the realm of computational science in parallel and distributed environments, encompassing the facilitating theoretical foundations and the applications of large-scale computations and massive data processing. It addresses researchers and practitioners in areas ranging from aerospace to biochemistry, from electronics to geosciences, from mathematics to software architecture, presenting verifiable computational methods, findings, and solutions, and enabling industrial users to apply techniques of leading-edge, large-scale, high performance computational methods. This, the 27th issue of the Transactions on Computational Science journal, is devoted to the topic of high-performance computing. It contains eight full papers, covering the areas of cloud middleware, multi-processor systems, quantum computing, optimization, and secure biometric-based encryption methods.
Author: Gottlob Frege
Author: Gottlob Frege
Author: David Henry Cruttenden
Author: Giovanni Sommaruga
Author: Burt C. Hopkins
Author: United States. Office of Education
Author: United States. Bureau of Education
Author: Christopher J. Insole
Author: Jarkko Kari
Author: Annalisa Bossi
Author: Marina L. Gavrilova