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Quine's Criterion versus Quine's Criterion

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Pasniczek J.

Przegląd Filozoficzny. Nowa Seria

2008

vol. 17

issue 4(68)

163-170

The author claims that it was Quine's criterion of ontological presuppositons rather than the criterion of ontological commitments commonly associated with his name that essentially shaped contemporary ontology and logic. Undoubtedly both criteria led to a better understanding of the connections between the content of a theory and its existential claims. It seems crucial, however, that Quine emphasized referential status of variables and the role of quantifiers. This aspect of his philosophy inspired interesting discussions and had a strong impct on contemporary logic.

W.V.O. Quine's Philosophy of Mathematics Confronted with Henkin and Boolos Quantifiers

75%

Wojtowicz K.

Przegląd Filozoficzny. Nowa Seria

2008

vol. 17

issue 4(68)

281-293

The article contains a brief presentation of Quine's arguments in favor of metamathematical realism and raises the problem of the dependence of ontological commitments of a theory on 'ideological' assumptions concerning the range of logical concepts. The problem is discussed by reference to Henkin and Boolos quantifiers. If these quantifiers are chosen and introduced as semantically primitive terms, fully understandable without recourse to set theoretical semantics and paraphrases presented as logical sentences with function variables and set variables, the resulting theory makes different ontological commitments from those that are made by Quine. The difference is illustrated by discussing a theory proposed by Hellman

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2 Przegląd Filozoficzny. Nowa Seria

1 Pasniczek J.

1 Wojtowicz K.

2 2008

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Quine's Criterion versus Quine's Criterion

W.V.O. Quine's Philosophy of Mathematics Confronted with Henkin and Boolos Quantifiers