From Combinatorics to Philosophy

• Corporate Author: SpringerLink (Online service)
• Other Authors: Damiani, Ernesto (Editor), D’Antona, Ottavio (Editor), Marra, Vincenzo (Editor), Palombi, Fabrizio (Editor)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Springer US, 2009.
• Edition: 1.
• Subjects: Computer science.; Phenomenology.; Algebra.; Ordered algebraic structures.; Geometry.; Probabilities.; Combinatorics.; Computer Science.; Computer Science, general.; Probability Theory and Stochastic Processes.; Order, Lattices, Ordered Algebraic Structures.

From Combinatorics to Philosophy: The Legacy of G. -C. Rota provides an assessment of G. -C. Rota's legacy to current international research issues in mathematics, philosophy and computer science. This volume includes chapters by leading researchers, as well as a number of invited research pape...

Table of Contents:

• Gian-Carlo Rota, the Man
• Gianco, my Brother
• Remembering Gian-Carlo Rota
• Gian-Carlo Rota, the Mathematician
• A Glimpse of Vector Invariant Theory. The Points of View of Weyl, Rota, De Concini and Procesi, and Grosshans
• Partitions of a Finite Partially Ordered Set
• An Algebra of Pieces of Space — Hermann Grassmann to Gian Carlo Rota
• The Eleventh and Twelveth Problems of Rota’s Fubini Lectures: from Cumulants to Free Probability Theory
• Two Examples of Applied Universal Algebra
• On the Euler Characteristic of Finite Distributive Lattices
• Rota, Probability, Algebra and Logic
• A Symbolic Treatment of Abel Polynomials
• Gian-Carlo Rota, the Philosopher
• Ethics in Thought. Gian-Carlo Rota and Philosophy
• Indiscrete Variations on Gian-Carlo Rota’s Themes
• On the Courage Needed to Do Phenomenology. Rota and Analytic Philosophy
• Rota’s Philosophical Insights
• “A Minority View” Gian-Carlo Rota’s Phenomenological Realism.