Marquis, Jean-Pierre (Author)
From a Geometrical Point of View explores historical and philosophical aspects of category theory, trying therewith to expose its significance in the mathematical landscape. The main thesis is that Klein's Erlangen program in geometry is in fact a particular instance of a general and broad phenomenon revealed by category theory. The volume starts with Eilenberg and Mac Lane's work in the early 1940's and follows the major developments of the theory from this perspective. Particular attention is paid to the philosophical elements involved in this development. The book ends with a presentation of categorical logic, some of its results and its significance in the foundations of mathematics. From a Geometrical Point of View aims to provide its readers with a conceptual perspective on category theory and categorical logic, in order to gain insight into their role and nature in contemporary mathematics. It should be of interest to mathematicians, logicians, philosophers of mathematics and science in general, historians of contemporary mathematics, physicists and computer scientists.
...MoreReview McLarty, Colin (2012) Review of "From a Geometrical Point of View: A Study of the History and Philosophy of Category Theory". Historia Mathematica (pp. 475-479).
Thesis
Welsh, Whitney Elizabeth;
(2011)
Unthinkable: Mathematics and the Rise of the West
(/isis/citation/CBB001560636/)
Article
Jan Halák;
(2022)
Mathematics embodied: Merleau-Ponty on geometry and algebra as fields of motor enaction
(/isis/citation/CBB074170500/)
Article
Sutherland, Daniel;
(2005)
Kant on Fundamental Geometrical Relations
(/isis/citation/CBB000670505/)
Book
Paolo Zellini;
(1999)
Gnomon. Una indagine sul numero
(/isis/citation/CBB253354203/)
Book
Paolo Zellini;
(2010)
Numero e logos
(/isis/citation/CBB843348217/)
Article
Kanovei, Vladimir;
Katz, Mikhail G.;
Mormann, Thomas;
(2013)
Tools, Objects, and Chimeras: Connes on the Role of Hyperreals in Mathematics
(/isis/citation/CBB001320860/)
Chapter
Floridi, Luciano;
(2004)
Mathematical Skepticism: The Debate between Hobbes and Wallis
(/isis/citation/CBB000410901/)
Article
Glas, Eduard;
(2000)
Model-based reasoning and mathematical discovery: The Case of Felix Klein
(/isis/citation/CBB000110929/)
Article
Heis, Jeremy;
(2011)
Ernst Cassirer's Neo-Kantian Philosophy of Geometry
(/isis/citation/CBB001035116/)
Article
Beziau, Jean-Yves;
Read, Stephen;
(2014)
Square of Opposition: A Diagram and a Theory in Historical Perspective
(/isis/citation/CBB001550604/)
Article
Wagner, Roy;
(2009)
For Some Histories of Greek Mathematics
(/isis/citation/CBB000932767/)
Article
Ladislav Kvasz;
(2020)
Cognitive Unity of Thales’ Mathematics
(/isis/citation/CBB542780608/)
Article
Domski, Mary;
(2013)
Kant and Newton on the a priori Necessity of Geometry
(/isis/citation/CBB001320266/)
Article
Mertens, Manuel;
(2014)
Memory and Geometry in Bruno: Some Analogies
(/isis/citation/CBB001201187/)
Essay Review
Michel, Alain;
(2003)
Géométrie et philosophie: De Thābit ibn Qurra à ibn al-Haytham
(/isis/citation/CBB000340511/)
Book
Rashed, Roshdi;
Bellosta, Hélène;
(2000)
Ibrāhīm ibn Sinān. Logique et Géométrie au Xe siècle
(/isis/citation/CBB000111392/)
Book
Marco Panza;
(2021)
Modes de l’analyse et formes de la géométrie
(/isis/citation/CBB887755156/)
Book
Elena Anne Corie Marchisotto;
Francisco Rodriguez-Consuegra;
James T. Smith;
(2021)
The Legacy of Mario Pieri in Foundations and Philosophy of Mathematics
(/isis/citation/CBB763111584/)
Article
Claessens, Guy;
(2009)
Clavius, Proclus, and the Limits of Interpretation: Snapshot-Idealization versus Projectionism
(/isis/citation/CBB000952870/)
Book
Hyder, David Jalal;
(2009)
The Determinate World: Kant and Helmholtz on the Physical Meaning of Geometry
(/isis/citation/CBB001252396/)
Be the first to comment!