In the standard theory of probability, developed by Kolmogorov, the concept of conditional probability is defined with what is known as the ratio formula: the probability of A given B is the ratio between the probability of A and B and the probability of B, i.e. P(AB)= (P(AB))/(P(B)). Clearly, this ratio is not defined when the probability of the condition, P(B), is 0. According to Popper, this problem, which is known as the zerodenominator problem, shows a serious conceptual shortcoming of the standard Kolmogorovian theory of probability. In order to overcome this shortcoming, Popper developed an alternative axiomatic theory of probability where conditional probability is taken as primitive. It should be noted that this axiomatic probability theory is different than and independent from Popper’s philosophy of probability which is based on the propensity approach. Popper claims that his axiomatic theory is a better fit for the use of probability in the philosophy of science and statistics. Based on this claim, it is often stated that Popper’s theory is conceptually superior to Kolmogorov’s theory. The ultimate aim of this paper is to evaluate this claim by analyzing Popper’s axiomatic theory within the context of the zerodenominator problem.
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Bibtex  @araştırma makalesi { beytulhikme510495,
journal = {Beytulhikme An International Journal of Philosophy},
issn = {},
eissn = {13038303},
address = {Mustafa ÇEVİK},
year = {2018},
volume = {8},
pages = {455  469},
doi = {},
title = {Popper's Axiomatic Probability System and the ValueAssignment Problem},
key = {cite},
author = {Demir, Mehmet Hilmi}
} 
APA  Demir, M . (2018). Popper's Axiomatic Probability System and the ValueAssignment Problem. Beytulhikme An International Journal of Philosophy, 8 (2), 455469. Retrieved from http://dergipark.gov.tr/beytulhikme/issue/42387/510495 
MLA  Demir, M . "Popper's Axiomatic Probability System and the ValueAssignment Problem". Beytulhikme An International Journal of Philosophy 8 (2018): 455469 <http://dergipark.gov.tr/beytulhikme/issue/42387/510495> 
Chicago  Demir, M . "Popper's Axiomatic Probability System and the ValueAssignment Problem". Beytulhikme An International Journal of Philosophy 8 (2018): 455469 
RIS  TY  JOUR T1  Popper's Axiomatic Probability System and the ValueAssignment Problem AU  Mehmet Hilmi Demir Y1  2018 PY  2018 N1  DO  T2  Beytulhikme An International Journal of Philosophy JF  Journal JO  JOR SP  455 EP  469 VL  8 IS  2 SN  13038303 M3  UR  Y2  2019 ER  
EndNote  %0 Beytulhikme An International Journal of Philosophy Popper's Axiomatic Probability System and the ValueAssignment Problem %A Mehmet Hilmi Demir %T Popper's Axiomatic Probability System and the ValueAssignment Problem %D 2018 %J Beytulhikme An International Journal of Philosophy %P 13038303 %V 8 %N 2 %R %U 
ISNAD  Demir, Mehmet Hilmi . "Popper's Axiomatic Probability System and the ValueAssignment Problem". Beytulhikme An International Journal of Philosophy 8 / 2 (Aralık 2018): 455469. 