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Wojciechowski E.

Roczniki Filozoficzne

2012

vol. 60

issue 1

87-103

The paper contains references to a logical construction with two types of negation: an external (~) and internal (¬) one, where the substitution of the dichotomous law of excluded middle (with the αV~α schema) by the trichotomy (α V¬α V±α) is proposed. With reference to an object belonging to a given universe and a given set of predicates some of them apply to it, whereas others do not. There can also exist such predicates which cannot be sensibly said to apply to it – they are indeterminate to it. What is proposed here is transferring these distinctions to a sentence calculus and devising a construction with a functor of weak assertion (+) as its primitive functor. This functor together with the functor of external negation allow an additional interpretation of the sentences falling into the third category described above (indirectness) whenever there is a need to express sentences referring to indirect states between the positive state and its negative counterpart.

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1 Roczniki Filozoficzne

1 Wojciechowski E.

1 2012

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SŁABA ASERCJA