- Bioinformatyka i biologia systemów, stacjonarne, pierwszego stopnia
- Informatyka, stacjonarne, pierwszego stopnia
- Matematyka, stacjonarne, pierwszego stopnia
- Bioinformatyka i biologia systemów, stacjonarne drugiego stopnia
- Informatyka, stacjonarne, drugiego stopnia
- Matematyka, stacjonarne, drugiego stopnia
Entitlement theories: a non-evidentialist Epistemology of Mathematics 3800-ET22-S-OG
In a nutshell, entitlement theories introduce a new notion of mathematical justification, which - contrary to our ordinary mathematical justification - is non-evidential. Originally, philosophers developed the idea of entitlement in the context of mainstream epistemology as a response to scepticism about perceptual justification. Since then, entitlement has helped philosophers provide a more fine-grained epistemology of perception. Recently, philosophers started to employ this very notion of entitlement to tackle essential questions in the epistemology of mathematics. The introduction of this additional type of justification helps us have a better, more fine-grained understanding of the epistemology of mathematics, more in harmony with our epistemology of science. Finally, the addition of entitlement opens several crucial philosophical questions: how does entitlement relate to ordinary evidential justification? How does it relate to the possibility of defeaters? Is it rational to believe our entitlements? What is the logic of entitlement? Can entitlements be known? This course aims to introduce entitlement theories and their connection to the original literature by Wright, Pryor, and others to provide the students with the knowledge and understanding needed to tackle these research questions.
Audience: The seminar is open to everyone. However, the course is tailored for advanced philosophy students interested in the philosophy of mathematics or epistemology. Basic knowledge of epistemology and (some) questions in the philosophy of mathematics is helpful but optional. The seminar's topic is philosophical, and the seminar aims to be accessible to those without a strong background in mathematical logic.
Rodzaj przedmiotu
ogólnouniwersyteckie
Efekty kształcenia
Acquired knowledge:
• Know the basic notion involved in entitlement theories in their original context: the
epistemology of perception.
• Understand how entitlement theories work in a mathematical context. Have acquaintance with the relevant literature on mathematical entitlement.
• Know the basic positions concerning the structure of justification: conservativism and liberalism.
• Know the relevant distinctions between closure and transmission of justification across valid arguments.
Acquired skills
• The ability to apply tools and context from pure epistemology to within the context of the philosophy of mathematics.
• The ability to evaluate the epistemic good standing of arguments (from the perspective of transmission)
Acquired social competences:
• Has the ability to work in a team.
• Understands and appreciates the need for training and professional development
Kryteria oceniania
Assessment methods and criteria: a seminar presentation or a submitted essay.
Number of absences: 2
Literatura
Alspector-Kelly, M. (2019). Against knowledge closure. Cambridge University Press Burge, T. (2003). Perceptual entitlement*. Philosophy and Phenomenological Research,
67(3):503–548.
Burge, T. (2020). Entitlement: The basis for empirical epistemic warrant. In Pedersen, N. and Graham, P., editors, Epistemic Entitlement, pages 37–142. Oxford University Press.
Dretske, F. (2005). Is knowledge closed under known entailment? the case against closure. In Steup, M. and Sosa, E., editors, Contemporary Debates in Epistemology, pages 13–26. Blackwell
Fischer, M., Horsten, L., and Nicolai, C. (2019). Hypatia's silence truth justification and entitlement. Noˆus. online first doi: 10.1111/nous.12292.
Horsten, L. (2021). On reflection. The Philosophical Quarterly, 71(4). Jenkins, C. (2007). Entitlement and rationality. Synthese, 157(1):25–45.
Łełyk , M. and Nicolai, C. (2022). A theory of implicit commitment. Synthese, 200(4).
Moore, G. E. (1939). Proof of an external world. Proceedings of the British Academy, 25(5):273
– 300
Pedersen, N. J. (2008). Entitlement, value and rationality. Synthese, 171(3):443–457. Pedersen, N. J. L. L. (2016). Hume's principle and entitlement: On the epistemology of the neo-
fregean programme. In Ebert, P. and Rossberg, M., editors, Abstractionism. Oxford University Press.
Pedersen, N. J. L. L. (2021). Cornerstone epistemology: scepticism, mathematics,non- evidentialism, consequentialism, pluralism. In Pedersen, N. J. L. L. and Moretti , L., editors, Non-Evidentialist epistemology. Brill
Pryor, J. (2000). The skeptic and the dogmatist. Noˆus, 34(4):517–549.
Pryor, J. (2004). What's wrong with Moore's argument. Philosophical Issues, 14:349 – 77.
Shapiro, S. (2004). Foundations of mathematics: Metaphysics, epistemology, structure. The Philosophical Quarterly, 54(214):16–37.
Shapiro, S. (2011). Epistemology of Mathematics: What are the questions? What count as answers? The Philosophical Quarterly, 61(242):130–150.
Smith, M. (2020). Full blooded entitlement. In Pedersen, N. and Graham, P., editors, Epistemic Entitlement, pages 281–296. Oxford University Press.
Wright, C. (2002). (Anti-)sceptics simple and subtle: G.E. Moore and John Mc-Dowell*.
Philosophy and Phenomenological Research, 65(2):330–348.
Wright, C. (2003). Some reflections on the acquisition of warrant by inference. In Nuccetelli, S., editor, New Essays on Semantic Externalism and Self-Knowledge, pages 57–78. MIT Press.
Wright, C. (2004). Warrant for nothing (and foundations for free)? Proceedings of the Aristotelian Society, Supplementary Volumes, 78:167–245.
Wright, C. (2012). Replies part iv: Warrant, transmission and entitlement. In Coliva, A., editor, Mind, Meaning, and Knowledge. Themes from the Philosophy of Crispin Wright, pages 451–486. Oxford University Press.
Wright, C. (2014). On epistemic entitlement (ii): Welfare state epistemology. In Dodd, D. and Zardini, E., editors, Scepticism and Perceptual Justification, pages 213–247. Oxford University Press.
Wright, C. (2016). Abstraction and epistemic entitlement: On the epistemological status of hume's principle. In Ebert, P. A. and Rossberg, M., editors, Abstractionism: Essays in Philosophy of Mathematics, pages 161–185. Oxford University Press.
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- Bioinformatyka i biologia systemów, stacjonarne, pierwszego stopnia
- Informatyka, stacjonarne, pierwszego stopnia
- Matematyka, stacjonarne, pierwszego stopnia
- Bioinformatyka i biologia systemów, stacjonarne drugiego stopnia
- Informatyka, stacjonarne, drugiego stopnia
- Matematyka, stacjonarne, drugiego stopnia
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