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Inconsistent Ontology - Mbph.de

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p ∧¬<br />

∧¬ ∧¬p ∧¬<br />

∧¬<br />

Manuel Bremer<br />

Centre for Logic,<br />

Language and<br />

Information<br />

Noneism and Intensional Contexts<br />

• As mentioned above, by (P1) anything can be the object of belief,<br />

<strong>de</strong>sire, fear – any propositional attitu<strong>de</strong> – whether the object is possible<br />

or impossible. The attitu<strong>de</strong> is directed to the object itself, not to its<br />

representation or to the sense of the object's name.<br />

• And given that we have quantifiers at our disposal that carry no<br />

ontological commitment we can freely quantify into intensional<br />

contexts:<br />

(3) Peter thinks of the round square.<br />

(4) (∃x)(Peter thinks of x)<br />

goes through.<br />

• [Note that the failure of substitutivity in intensional contexts still obtains in<br />

noneism: If<br />

(5) The round square is Meinong's famous example for an<br />

impossible object.<br />

we still need not have that (6) is true if (3) is true, given Peter's ignorance:<br />

(6) Peter thinks of Meinong's famous example for an<br />

impossible object.]

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