Prázdné možné světy a individua v limbu neexistují

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Title in English There Are No Empty Possible Worlds and Individuals in Limbo
Authors

RACLAVSKÝ Jiří

Year of publication 2007
Type Article in Periodical
Magazine / Source Pro-Fil
MU Faculty or unit

Faculty of Arts

Citation
web http://profil.muni.cz/01_2007/raclavsky_prazdne_mozne_svety.pdf
Field Philosophy and religion
Keywords possible worlds; properties; partiality; individuals
Description V. Svoboda has recently propsed a theory based on Tichý's conception of possible worlds as determination systems. According to Svoboda there exists such a distribution of propreties among individuals that all extensions of such properties is empty set, i.e. no individual holds any of these properties. Such a possible world he called 'empty possible world' and individuals which have all properties that have in empty possible world are called 'individuals in limbo'. Well, I explore both stages of his theory, but also better variation of his theory used a demand which is not acceptable because to any property that has empty extension there exists 'complementary property' that has maximal extension, so it is instatntiated by every individual. Thus Svoboda's empty possible world is simply impossible. I suggest more appropriate conception of empty possible world which avoid of that drawback and which emptyness is based on partiality, i.e. undefinedness of (non-trivial) properties in that world. Because these properties are defined in other world, an individual is in limbo only if it instantiates only that properties which instantiates in this empty possible world. However after inspection of combinatorics of properties I make out observation that every possible world is in every time moment equally empty as in any other time moment; thus to predicate emptiness to any possible world is misplaced. Further investigation leads to observation that every individual is in every possible world in every time moment in the same limbo as any other individual; thus the predicate "being in limbo" is misplaced too.
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