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| Author(s): |
Renato Reis Leme
Total Authors: 1
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| Document type: | Master's Dissertation |
| Press: | Campinas, SP. |
| Institution: | Universidade Estadual de Campinas (UNICAMP). Instituto de Filosofia e Ciências Humanas |
| Defense date: | 2020-12-18 |
| Examining board members: |
Giorgio Venturi;
Rodrigo de Alvarenga Freire;
Bruno Ramos Mendonça
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| Advisor: | Giorgio Venturi |
| Abstract | |
The present work explores genericity phenomena and its connections over three central axis: historical, philosophical and logical. In the historical chapter of this research, the development of the notion of genericity is presented from its origins in Western thought to the emergence of the concept of generic point in algebraic geometry. In the philosophical chapter, based on the Fregean critique of variable objects in mathematics, the relation between genericity and arbitrariness is evaluated. Finally, in the logical chapter, we show the connection between genericity and possibility based on McKinsey-Tarski's topological semantics for the modal calculus S4. (AU) | |
| FAPESP's process: | 19/01580-7 - Origins of generic point in algebraic geometry and mathematical practice |
| Grantee: | Renato Reis Leme |
| Support Opportunities: | Scholarships in Brazil - Master |