Mathematics in Philosophy
The systematic mapping of the interplay of ontology and epistemology in the context of present day philosophy of mathematics constitutes an important heuristic goal. In order to achieve it, we must analyze and reinterpret the position of mathematics in philosophy. Lire la suite
The authors we have gathered to do so —philosophers, mathematicians and logicians from across Europe— share a significant expertise in the history and the methodology of science and mathematics. Their complementary perspectives bring to light insights and tools that pave the way for new philosophical conceptualisations of the mathematical knowledge.
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) and Dynamic Being:
Essays in Process-Relational Ontology (Cambridge Scholars Publishing, 2015). Professor Petrov is Executive Director (2015 – 2017) of the International Process Network. Pr. François Beets holds an M.A. (1981) and a Ph.D. in philosophy (1991) from the Université de Liège. He teaches philosophy of logic, philosophy of language, philosophy of the Middle Ages and analytical philosophy. He has published on these subjects as well as the late Whitehead.
Drs. Katie Anderson holds a B.A. in philosophy (2010) from Cambridge University andan M.Sc. in psychology (2013) from the University of East London. She is currently a Ph.D. candidate in psychology at London Southbank University and her thesis draws significantly on Whitehead's process philosophy.
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Spécifications
- Éditeur
- Chromatika
- Auteur
- Katie Anderson, François Beets, Vesselin Petrov,
- Collection
- Phylopraxis
- Langue
- anglais
- BISAC Subject Heading
- PHI000000 PHILOSOPHY
- Code publique Onix
- 06 Professionnel et académique
- CLIL (Version 2013-2019 )
- 3080 SCIENCES HUMAINES ET SOCIALES, LETTRES
- Date de première publication du titre
- 17 mai 2017
- Type d'ouvrage
- Monographie
Livre broché
- Date de publication
- 15 mai 2017
- ISBN-13
- 9782930517506
- Ampleur
- Nombre de pages de contenu principal : 156
- Code interne
- 95072
- Format
- 16 x 24 cm
- Poids
- 260 grammes
- Prix
- 18,00 €
- ONIX XML
- Version 2.1, Version 3
- Details de produit
- 1
- Date de publication
- 15 mai 2017
- ISBN-13
- 9782930517513
- Ampleur
- Nombre de pages de contenu principal : 156
- Code interne
- PDF95072
- ONIX XML
- Version 2.1, Version 3
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Sommaire
Introduction
Vesselin Petrov
Notes
A favourable mathematical point of view
on Aristotelian and Scholastic syllogisms
Pascal Gribomont
1. Introduction
2. A concise introduction to Asyl with modern notation
3. Asyl as a modern theory
4. Conversion rules revisited
5. Venn diagrams
6. Conclusions
Notes
Are there synthetic a priori propositions? The paradigmatic case
of mathematics, from Kant to Frege and Peirce
Bruno Leclercq
Abstract
1. Kant's doctrine of pure intuition and schematism
2. Objections to Kant's doctrine and the rise of the logicist program
3. Ampliative reasoning
4. Abstractive observation: seeing Ideas through Gestalten
5. Taking a step aside in order to evolve what was involved
Notes
Caught in the ACT: Abstract Choice Theory
and the Rationality of Cyclical Preferences
Rosen Lutskanov
Abstract
Notes
The Question of Intuition in Modern Epistemology of Mathematics
and Logic
Stany Mazurkiewicz
Abstract
1. Introduction
2. History of mathematics
3. Kant
6 Contents
4. Hegel
5. Bolzano
6. Conclusion
Notes
The Sense Perceived Continuum of Henri Poincaré
Vesselin Petrov
Abstract
1. Introduction
2. Poincaré’s philosophical views
3. Poincaré and the continuum: Two types of continuum
4. Conclusion
Notes
Sensible and Intellective Geometry.
A Point-Free Geometry from the 10th Century
François Beets
Notes
Mereotopological distributive lattices
Georges Hansoul
1. Introduction
2. Multioperators on lattices
3. Mereotopological lattices
4. Final remarks
Dominants and Limiters in Philosophy of Mathematics
Engelsina Tasseva
Abstract
1. Disciplinary state of philosophy of mathematics
2. Basic problems of philosophy of mathematics as a discipline
3. Recent situation
4. Structural stratification in the field of schools,
trends and conceptions of mathematical philosophy
5. Epistemic roots and their conceptual and instrumental derivatives:
epistemological dominants and limiters
6. Conclusion: Three key points
Notes
Bibliography