The Star and the Whole

Gian-Carlo Rota on Mathematics and Phenomenology

Fabrizio Palombi (University of Calabria, Italy)

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English

CRC Press
27 July 2017

Mathematical foundations; Discrete mathematics; Combinatorics & graph theory; Astrophysics; Life sciences: general issues

The Star and the Whole: Gian-Carlo Rota on Mathematics and Phenomenology, authored by Fabrizio Palombi, is the first book to study Rota‘s philosophical reflection. Rota (1932 1999) was a leading figure in contemporary mathematics and an outstanding philosopher, inspired by phenomenology, who made fundamental contributions to combinatorial analysis, and trained several generations of mathematicians in his long career at the Massachusetts Institute of Technology (MIT) and the Los Alamos National Laboratory.

The first chapter of the book reconstructs Rota‘s cultural biography and examines his philosophical style, his criticisms of analytical philosophy, and his reflection on Heidegger‘s thought. The second chapter presents a general picture of Rota‘s re-elaboration of phenomenology examined in the light of the Husserlian notion of Fundierung. This chapter also illustrates how the star-shape becomes a powerful instrument for understanding the properties of Husserl‘s mereology and the critique of objectivism. The third chapter is a theoretical reflection on the nature of mathematical entities, and the fourth examines the complex relation of mathematical research with technological applicability and scientific progress. The foreword of the text is written by Robert Sokolowski.

By: Fabrizio Palombi (University of Calabria Italy)
Imprint: CRC Press
Country of Publication: United Kingdom
Dimensions: Height: 229mm, Width: 152mm,
Weight: 453g
ISBN: 9781138411937
ISBN 10: 1138411930
Pages: 138
Publication Date: 27 July 2017
Audience: College/higher education , General/trade , Primary , ELT Advanced
Format: Hardback
Publisher's Status: Active

Fabrizio Palombi, Professor at the University of Calabria (Italy), was Rota's collaborator and a Visiting Scholar at MIT. He is the editor of Rota's philosophical anthologies Pensieri discreti (Garzanti: 1993), Indiscrete Thoughts (Birkh?er: 1997), and Lezioni Napoletane , (Citt?el Sole: 1999), and coeditor of the proceedings of an international conference dedicated to Rota, From Combinatorics to Philosophy (Springer: 2009). Palombi is the author of two monographs: Il legame instabile (Franco Angeli: 2002), and Jacques Lacan (Carocci: 2009).

Reviews for The Star and the Whole: Gian-Carlo Rota on Mathematics and Phenomenology

This book is a short overview of Gian-Carlo Rota’s life and his work. … In the current climate in which all research seems to be valued proportionately to its economic impact, the last chapter is of particular interest. Rota has argued that mathematics is threatened by ignorance and hostility towards its practitioners. … The last chapter also includes a complete bibliography of all of Rota’s philosophical writings. —David J. Hand, International Statistical Review, 80, 2012 The book gives a deep look into the philosophical views of Gian Carlo Rota. … The first chapter starts with a biography of Rota, which is important to know for understanding the development of his philosophical views. … the author gives an elegant explanation of Rota’s openly negative attitude towards analytic philosophy. … the reader learns about the core of Rota’s philosophical studies. … The author explains that Rota followed the course of most classical philosophical thought in his analysis of mathematics and of its relation with objectivism. … [he also] examines the relation of mathematics to technological applicability and scientific progress. … —Peeler Müürsepp, Mathematical Reviews, 2012e This admirable book by Fabrizio Palombi is an attempt to ‘figure out’ the life, work, and person of Gian-Carlo Rota. … we are indebted to Fabrizio Palombi for sifting through Rota’s memories and writings to help us understand him and his work. —From the Foreword by Robert Sokolowski