Points of Intersection Between Mathematical and Process Philosophical Ideas - Grand Format

Name: Points of Intersection Between Mathematical and Process Philosophical Ideas
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Author: Vesselin Petrov
ISBN: 9782930517520

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Vesselin Petrov

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Vesselin Petrov - Points of Intersection Between Mathematical and Process Philosophical Ideas.

There are many points of intersection between mathematical and philosophical ideas. The synergies between mathematical and process philosophical ideas... Lire la suite

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There are many points of intersection between mathematical and philosophical ideas. The synergies between mathematical and process philosophical ideas are exceptionally rich, both historically and speculatively : more precisely, the concepts of continuum, continuity, discreteness, infinity, intuition, arithmetization, geometrization, formalization, perception, and abstraction, stand out. All these concepts have never been systematically perused from the perspective of process philosophical ideas.
Hence, the present work should be useful not only for process philosophers, but for mathematicians and philosophers, and also for all those who happen to be interested in the process philosophical approach.

BOLZANO AS A PRECURSOR IN THE STUDY OF THE CONTINUUM
- Introduction
- Bolzano and Aristotle
- Some achievements of contemporary mathematics
- Bolzano's contribution to contemporary mathematics
- Conclusion
BRENTANO'S INTUITION OF THE CONTINUUM
- Introduction
- Main aspects of Brentano's philosophy
- Brentano's conception of the continuum
- Brentano's conception and the philosophical continuums
POINCARE'S SENSE PERCEIVED CONTINUUM
- Introduction
- Poincaré's philosophical views
- Poincaré's two types of continuum
- The relationship of Poincaré with the philosophies of Russell and Whitehead
RUSSELL'S CRITICISM OF BERGSON'S VIEWS ABOUT CONTINUITY AND DISCRETENESS
- Introduction
- The essence of Russell's criticism of Bergson
- Russell's criticism of Bergson's views on continuity and discreteness
- Conclusion : Russell's misunderstanding of Bergson
THE TRANSITION OF RUSSELL FROM ATOMISM TO HOLISM
- Introduction
- The period after 1919 : The Analysis of Matter (1927)
- A comparison of Russell's views after 1919 with Whitehead's
- Conclusion
CONTEMPORARY NEOPRAGMATISM AND PROCESS PHILOSOPHY
- Introduction
- The neopragmatist synergy between Peirce and process philosophy
- The neopragmatic reconstruction of Whitehead's continuum
- Conclusion
CAPEK, THE BERGSONIAN PROCESS PHILOSOPHER
- Introduction
- The early Capek The mature views of Capek
- The late Capek
- Conclusion
BROUWER AND WEYL ON THE CONTINUUM
- Introduction
- The intuitionistic continuum of Luitzen Brouwer
- Hermann Weyl's Das Kontinuum (1918)
- Logical and mathematical aspects of Weyl's views
- Philosophical ideas that have influenced Weyl's views
- Conclusion : A comparison between Weyl and Whitehead
APPLICATIONS OF PROCESS PHILOSOPHY TO MATHEMATICS
- Introduction
- Whitehead's theory of extension in the context of the 20th century mathematics
- Recent mereotopological developments of Whitehead's theory of extension
- Conclusion
THE ROLE OF MATHEMATICS FOR TEACHING AND UNDERSTANDING THE HUMANITIES
- Introduction
- The achievement of knowledge in the process of education
- Whitehead on the educational revolution in modern times
- The increasing of the role of mathematics in education
- Characteristics of mathematics that are relevant for education
- Principles for the mathematical education of scholars
- Conclusion

Date de parution

22/11/2017
Editeur

Chromatika
Collection

Phylopraxis
ISBN

978-2-930517-52-0
EAN

9782930517520
Format

Grand Format
Présentation

Broché
Poids

0.327 Kg
Dimensions

16,0 cm × 24,0 cm × 0,0 cm

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There are many points of intersection between mathematical and philosophical ideas.

Biographie de Vesselin Petrov

Pr. Vesselin Petrov holds an M.A. in mathematics (1977), a Ph.D. in philosophy (1989) and a D.Sc. in philosophy (2011). He is Professor and Head of the Department of "Models, Methodologies, and Heuristics" of the Institute for the Study of Societies and Knowledge at the Bulgarian Academy of Sciences. His fields of research interest include process philosophy, metaphysics, ontology, applied ontology, philosophy of science and philosophy of mathematics.
He is author of four books in Bulgarian and of more than 120 papers in Bulgarian, English, Russian and Chinese. He is also editor of twenty books in Bulgarian and English, among them Ontological Landscapes : Recent Thought on Conceptual Interfaces Between Science and Philosophy (Frankfurt : Ontos Verlag, 2011), Dynamic Being : Essays in Process-Relational Ontology (Cambridge Scholars Publishing, 2015) and Mathematics in Philosophy (Les Editions Chromatika, 2017).
Professor Petrov has been the Executive Director (2015-2017) of the International Process Network. He is Editor-in-chief of the international periodical Balkan Journal of Philosophy