You are hereJosé Ferreirós (Sevilla) seminars at COGITO - On the History and Foundations of Set-Theory
José Ferreirós (Sevilla) seminars at COGITO - On the History and Foundations of Set-Theory
José Ferreirós (Universidad de Sevilla) will be visiting COGITO from February the 7th to February the 16th, 2011. ?Ferreirós will deliver two series of related seminars, at basic and advanced level, on the history and foundations of set-theory.
Basic seminars are meant to be accessible also by undergraduate students.
Please find below the complete seminars schedule, together with a list of suggested reading and topics toi be covered.
All seminars will take place in:
Aula Mondolfo
Faculty of Philosophy
University of Bologna
Via Zamboni 38, Bologna
Seminars schedule
Monday 7: 15-18 - advanced seminar 1
Tuesday 8: 15-17 - advanced seminar 2
Wednesday 9: 11-13 - basic seminar 1
Monday 14: 15-18 - advanced seminar 3
Tuesday 15: 11-13 - basic seminar 2
Tuesday 15: 15-17 - advanced seminar 4
Wednesday 16: 11-13 - basic seminar 3
Topics and suggested readings
(some of the readings are available on the COGITO website in electronic format for registered users)
Basic seminars
- Some basics about the number system (especially naturals, rationals, reals)
- The beginning of Dedekind's "Continuity and irrational numbers" (sections 1-3) plus the classical, simple proof of irrationality of √2
- Introduction to Boole's "Mathematical analysis of logic", particularly the first few pages (6 or 7)
- Cantor's short paper (1891) "On an elementary question in the theory of sets".
- Ferreirós, The Labyrinth of Thought: chapters IV, VI, VII, VIII, IX
Advanced seminars
- Discussion of different perspectives on set theory and related open conceptual problems: 1. the early logicist one (Dedekind, Frege, Hilbert), 2. the platonist view of Cantor, 3. Zermelo's work on axiomatizing, 4. the cumulative hierarchy and iterative conception (Zermelo, Goedel).
- Cantor's 1883 "Foundations of a General Theory of Manifolds"
- http://plato.stanford.edu/entries/settheory-early/
- Ferreirós,"The Justification of Set Theory: Between metaphysics and formal axiomatics" (draft)
- Ferreirós, The Labyrinth of Thought: chapters VII, VIII, IX, XI, plus the Epilogue.
