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. Continuer

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 Professional and scholarly
CLIL (Version 2013 )
3080 SCIENCES HUMAINES ET SOCIALES, LETTRES
Date de première publication du titre
17 mai 2017
Type d'ouvrage
Monographie

Livre broché


Details de produit
1 Couverture pelliculée
Date de publication
15 mai 2017
ISBN-13
9782930517506
Ampleur
Nombre de pages de contenu principal : 156
Code interne
95072
Format
16 x 24 x cm
Poids
260 grammes
ONIX XML
Version 2.1, Version 3

PDF


Details de produit
1 PDF
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


Extrait