Logical Introduction to Probability and Induction 1st Edition Franz Huber

Logical Introduction to Probability and Induction – Ebook Instant Download/Delivery ISBN(s): 9780190845384,0190845384

Product details:

• ISBN-10 ‏ : ‎ 0190845384
• ISBN-13 ‏ : ‎ 978-0190845384
• Author(s): Franz Huber

A Logical Introduction to Probability and Induction is a textbook on the mathematics of the probability calculus and its applications in philosophy.

On the mathematical side, the textbook introduces these parts of logic and set theory that are needed for a precise formulation of the probability calculus. On the philosophical side, the main focus is on the problem of induction and its reception in epistemology and the philosophy of science. Particular emphasis is placed on the means-end approach to the justification of inductive inference rules.

In addition, the book discusses the major interpretations of probability. These are philosophical accounts of the nature of probability that interpret the mathematical structure of the probability calculus. Besides the classical and logical interpretation, they include the interpretation of probability as chance, degree of belief, and relative frequency. The Bayesian interpretation of probability as degree of belief locates probability in a subject’s mind. It raises the question why her degrees of belief ought to obey the probability calculus. In contrast to this, chance and relative frequency belong to the external world. While chance is postulated by theory, relative frequencies can be observed empirically.

Table contents:

1. Logic
2. Set Theory
4. Deductive Approaches to Confirmation
5. Probability
6. The Classical Interpretation of Probability
7. The Logical Interpretation of Probability
8. The Subjective Interpretation of Probability
9. The Chance Interpretation of Probability
10. The (Limiting) Relative Frequency Interpretation of Probability
11. Alternative Approaches to Induction
Readings
References
Index

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