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History and Paradigms of Logic

Rsc 103 History and Paradigms of Logic

Class hours: 21

Credits (ECTS): 3

LM-OTSpecialization in Philosophy

Year: 1st–2nd

Term: 1st
Biennially – a.y. 2022-23

Course held in Italian

Tracing some of the historical phases in the development of logic, the course will examine the necessity – prophetically announced by Husserl – of a new paradigm capable of corresponding to new empirical evidence and to the evolution of scientific theories.
Lessons will be grouped into four modular themes:

  1. The philosophical paradigm: from the origins of logic as a science in Aristotle to the medieval dialectics.
  2. The algebraic paradigm: Leibnitz, Boole, Frege
  3. Paradoxes and crises: Gödel and indecidability. Mereology as the point of departure for a new paradigm. Husserl, Lesniewski.
  4. The present search for an “open”, inductive logic. Logic as formal ontology. The unfolding of a “trinitarian” logic.

Bibliographical references:

  • D’AGOSTINI F., Le ali al pensiero, Paravia Bruno Mondatori, Torino, 2003.
  • COHEN C., Introduzione alla logica, Il Mulino, Bologna 1999.
  • LOLLI G., Da Euclide a Gödel, Mulino, Bologna 2004.

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