Philosophy of Probability Foundations, Epistemology, and Computation

Por • 26 sep, 2017 • Sección: Filosofía

Sylvia Wenmackers

Earth was always strange and new to herself. . . . She loved the risk, the randomness, the lottery probability of a winner. . . . This planet that seems so obvious and inevitable is the jackpot. Earth is the blue ball with the winning number on it. Jeanette Winterson—‘Weight’ (2005)

The topics discussed in this dissertation are all related to the philosophy of probability: we discuss the foundations of probability theory—a special topic in the philosophy of mathematics—and the epistemology of probabilistic information. Whereas epistemology traditionally deals with beliefs of only a single agent, we will also apply probability theory to describe the beliefs of groups of interacting agents (social epistemology). Section 1.1 gives the rationale for this dissertation and makes its structure explicit. In section 1.2, we will define the branches of philosophy to which this dissertation belongs: formal philosophy and computational philosophy. In section 1.3, we give an overview of the foundations of probability and randomness. This section also describes the author’s position on the interpretation of probability, which is an epistemic one. Section 1.4 gives an overview of the mathematics and philosophy of the concept of infinity.

https://www.sylviawenmackers.be/documents/SWenmackersPhDThesis2011.pdf

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