THINKING ABOUT RANDOM EVENTS FROM A LOGICAL POINT OF VIEW

The purpose of this essay is to identify a meaningful property of random events by using a theorem introduced in an unconventional symbolic language, which we shall call ℒu. More precisely, we attempt to show that every random event must occur at least once. The method, which we use, consists in def...

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Bibliographic Details
Main Author: Rosario D'Amico
Format: Article
Language:English
Published: Accademia Peloritana dei Pericolanti 2013-06-01
Series:Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali
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Online Access:http://dx.doi.org/10.1478/AAPP.91S2A2
Description
Summary:The purpose of this essay is to identify a meaningful property of random events by using a theorem introduced in an unconventional symbolic language, which we shall call ℒu. More precisely, we attempt to show that every random event must occur at least once. The method, which we use, consists in defining, by means of sentences of the language ℒu, the concept of random event, after showing that some statements about the structural proprieties of the sentences of ℒu can be translated into sentences of the language ℒu itself. Thanks to this peculiar feature of ℒu, we achieve an important gain in facilitating the identification of the propriety looked for. In fact, it is easier to deal with sentences of a formal system, free of concealed assumptions and possibly misleading associations of meaning, than with true and false statements.
ISSN:0365-0359
1825-1242