The Subjective Probability of Conditionals and Its Formalizations
DOI: https://doi.org/10.26333/sts.xxxvii1.04 The aim of the paper is to discuss the problem of the assignment of the degree of belief to conditional sentences by a rational agent. After presenting the general methodological framework, we analyze two possible approaches. In both cases we assume tha...
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| Format: | Article |
| Language: | English |
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Polskie Towarzystwo Semiotyczne / The Polish Semiotic Society
2023-12-01
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| Series: | Studia Semiotyczne |
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| Online Access: | http://studiasemiotyczne.pts.edu.pl/index.php/Studiasemiotyczne/article/view/260 |
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| author | Anna Wójtowicz Krzysztof Wójtowicz |
| author_facet | Anna Wójtowicz Krzysztof Wójtowicz |
| author_sort | Anna Wójtowicz |
| collection | DOAJ |
| description | DOI: https://doi.org/10.26333/sts.xxxvii1.04
The aim of the paper is to discuss the problem of the assignment of the degree of belief to conditional sentences by a rational agent. After presenting the general methodological framework, we analyze two possible approaches. In both cases we assume that we have a non-conditional probabilistic system of beliefs expressed in a language L0, and modeled in some initial probability space S, which allows us to assign probabilities to sentences from L0. Our aim is to extend this system of beliefs to a given class of sentences Φ containing conditionals.
The first approach is what we call the “credence-like” approach: for a given class Φ, we define credence as a function defined directly on linguistic objects. The second approach consists in assuming the existence of a standard probability space, in which the sentences from the set Φ are interpreted as events. In this case, the degree of belief of α is defined as the probability of the corresponding event in the probability space SΦ. We present both of these approaches, indicating what their advantages and disadvantages are. The thesis of the article is that the probabilistic approach to the analysis of degrees of belief of sentences containing the conditional connective is by far the more universal one and preferable method, particularly in the context of more complex conditionals.
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| format | Article |
| id | doaj-art-3e8d2bfe03a9404890e75ba1f9e9afba |
| institution | Kabale University |
| issn | 0137-6608 2544-073X |
| language | English |
| publishDate | 2023-12-01 |
| publisher | Polskie Towarzystwo Semiotyczne / The Polish Semiotic Society |
| record_format | Article |
| series | Studia Semiotyczne |
| spelling | doaj-art-3e8d2bfe03a9404890e75ba1f9e9afba2024-12-06T04:06:44ZengPolskie Towarzystwo Semiotyczne / The Polish Semiotic SocietyStudia Semiotyczne0137-66082544-073X2023-12-01371The Subjective Probability of Conditionals and Its FormalizationsAnna Wójtowicz0Krzysztof Wójtowicz1University of Warsaw, Faculty of PhilosophyUniversity of Warsaw, Faculty of PhilosophyDOI: https://doi.org/10.26333/sts.xxxvii1.04 The aim of the paper is to discuss the problem of the assignment of the degree of belief to conditional sentences by a rational agent. After presenting the general methodological framework, we analyze two possible approaches. In both cases we assume that we have a non-conditional probabilistic system of beliefs expressed in a language L0, and modeled in some initial probability space S, which allows us to assign probabilities to sentences from L0. Our aim is to extend this system of beliefs to a given class of sentences Φ containing conditionals. The first approach is what we call the “credence-like” approach: for a given class Φ, we define credence as a function defined directly on linguistic objects. The second approach consists in assuming the existence of a standard probability space, in which the sentences from the set Φ are interpreted as events. In this case, the degree of belief of α is defined as the probability of the corresponding event in the probability space SΦ. We present both of these approaches, indicating what their advantages and disadvantages are. The thesis of the article is that the probabilistic approach to the analysis of degrees of belief of sentences containing the conditional connective is by far the more universal one and preferable method, particularly in the context of more complex conditionals. http://studiasemiotyczne.pts.edu.pl/index.php/Studiasemiotyczne/article/view/260conditionalsprobability of conditionalscredence of conditionalsMarkov graphsPCCP |
| spellingShingle | Anna Wójtowicz Krzysztof Wójtowicz The Subjective Probability of Conditionals and Its Formalizations Studia Semiotyczne conditionals probability of conditionals credence of conditionals Markov graphs PCCP |
| title | The Subjective Probability of Conditionals and Its Formalizations |
| title_full | The Subjective Probability of Conditionals and Its Formalizations |
| title_fullStr | The Subjective Probability of Conditionals and Its Formalizations |
| title_full_unstemmed | The Subjective Probability of Conditionals and Its Formalizations |
| title_short | The Subjective Probability of Conditionals and Its Formalizations |
| title_sort | subjective probability of conditionals and its formalizations |
| topic | conditionals probability of conditionals credence of conditionals Markov graphs PCCP |
| url | http://studiasemiotyczne.pts.edu.pl/index.php/Studiasemiotyczne/article/view/260 |
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