Probabilističke logike

Jurčec, Mario. (2015). Probabilističke logike. Diploma Thesis. Filozofski fakultet u Zagrebu, Department of Philosophy. [mentor Lauc, Davor].

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Abstract

The main goal of this work is connection between theory of probability and logic (expecially logical deduction). Probabilistic logic are combining the capacity of probability theory with the capacity of deductive logic to exploit the structure. The result is a richer and more expressive formalism with a broad range of possible application areas. In probabilistic logic statements have no value of truth and false, but a series of truths between 0 and 1, where 0 represents an impossible situation, and 1 complete security. Difficulties arising from the probabilistic logic is that they multiply computing complexity and allow non-intuitive results as supporting the theory of probability. Probabilistic logic is divided into two forms : 1. expressions that have the probability associated with tem, and 2. evidential probability that are based on the frequency interpretation of probability. In first chapter I describe some historical connections between logic and theory of probability. The second part is devoted to the problems of probabilistic logic, semantic and syntax, probabilistic argumentation and Bayesian epistemology, as well. In the third part, I solve problem of probabilistic logical networks, expecially on Markov logic netwok (MLN). In coclusion, there will be presented some problems of other philosophical disciplines, such as epistemology, which problems can be solved by probabilistic calculus.

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