Epistemology. A priori knowledge, definitions, and mathematical knowledge (a.a. 2018/19)
After introducing the basic concepts of analytic epistemology, we will explore some essential features of a priori knowledge, and investigate how mathematical and logical knowledge can be obtained. The role of definitions in the acquisition of such kinds of knowledge will be emphasized, and a crucial kind of definitions – definitions by abstraction – will be discussed, also in their relation with metaphysical notions such as grounding.
January 15th , 14-17
January 22nd, 14-17
January 23rd, 11-13 & 14-16
- Sources and kinds of knowledge
- The traditional JTB definition of knowledge: origins and main features
- Gettier counterexamples to the JTB definition and alternative definitions of knowledge
- The causal theory of knowledge
- Essential problems for mathematical knowledge and the Integration Challenge
- Benacerraf's Dilemma
- Non-conservative responses to Benacerraf's Dilemma (main features and examples)
- Frege's Logicism and Neo-Logicism (especially the role of Hume's Principle)
- Pritchard, D. (2018), What is This Thing Called Knowledge?, Routledge;Chapter 1, 3.
- Linnebo, Ø. (2018), Philosophy of Mathematics, Princeton University Press, Chapters I-II.
- Panza, M., Sereni, A. (2013), Plato's Problem. An Introduction to Mathematical Platonism, §§ 3.2-3.3.
Further optional readings
- Benacerraf, P. (1973), “Mathematical Truth”.
- Panza, M., Sereni, A. (2013), Plato's Problem. An Introduction to Mathematical Platonism, § 2.1 and § 5.1
- Gettier, E. (1963), “Is Justified True Belief Knowledge”; Analysis:http://www-bcf.usc.edu/~kleinsch/Gettier.pdf
- Benacerraf, P. (1973), “Mathematical Truth,”, The Journal of Philosophy 70:19, 1973, pp. 661-679, anche in Benacerraf e Putnam (1964), pp. 403-420
- Hale, B., Wright, C., (2002), “Benacerraf’s Dilemma Revisited”, European Journal of Philosophy.
The evaluation will be based on an oral exam.
Professore Associato di Filosofia e Teoria dei linguaggi
Ciclo : XXXIV
Tipologia corso : Tipo a
Periodo: Semestre I
Anno accademico: 2018-2019
Durata : 10 ore