The sorites paradox has been understood as a failure of classical logic and a way out can be found by choosing a non classical logic (fuzzy logic, for instance). We understand the sorites not as a problem of logic but of ontology, so we preserve classical logic and submit the premisses of the argument to a deeper analysis. As a result we obtain two theories for soritical arguments and enlighten the kind of structure requested by these arguments. The former theory has a lattice theoretic flavor and is fitted for paradoxes like `the heap' and `the bald man'; the latter is group theoretic in character and can manage paradoxes based on observational predicates like `tall', `red' and so on. In both cases the contradiction is derived from a larger set of hypotheses than in usual analysis and some of these hypotheses are good candidates for the reduction ad absurdum.
Il sorite come teoria formale
NEGRI, Maurizio
2010-01-01
Abstract
The sorites paradox has been understood as a failure of classical logic and a way out can be found by choosing a non classical logic (fuzzy logic, for instance). We understand the sorites not as a problem of logic but of ontology, so we preserve classical logic and submit the premisses of the argument to a deeper analysis. As a result we obtain two theories for soritical arguments and enlighten the kind of structure requested by these arguments. The former theory has a lattice theoretic flavor and is fitted for paradoxes like `the heap' and `the bald man'; the latter is group theoretic in character and can manage paradoxes based on observational predicates like `tall', `red' and so on. In both cases the contradiction is derived from a larger set of hypotheses than in usual analysis and some of these hypotheses are good candidates for the reduction ad absurdum.File | Dimensione | Formato | |
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