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.
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