Substitutional quantification and set theory

Timothy Mccarthy Substitutional Quantification and Set Theory

Our concern in this paper is to defend the use of substitutional quantifi-. cation in set theory as a way of avoiding ontological commitment to sets. Specifically, two objections to this procedure are addressed. (1) Charles Parsons claims that substitutional quantification (at least in set theory) is not ontologically neutral, but rather expresses a bona fide sense of existence-l We argue that ...

Ellipsis and Quantification: A Substitutional Approach

The paper describes a substitutional approach to ellipsis resolution giving comparable results to (Dalrymple et al., 1991), but without the need for order-sensitive interleaving of quantifier scoping and ellipsis resolution. It is argued that the orderindependence results from viewing semantic interpretation as building a description of a semantic composition, instead of the more common view of...

Substitutional Semantics and Natural Language Quantification

FUZZY SOFT SET THEORY AND ITS APPLICATIONS

In this work, we define a fuzzy soft set theory and its related properties. We then define fuzzy soft aggregation operator that allows constructing more efficient decision making method. Finally, we give an example which shows that the method can be successfully applied to many problems that contain uncertainties.

Mixed aleatory and epistemic uncertainty quantification using fuzzy set theory

Article history: Received 17 April 2015 Received in revised form 18 June 2015 Accepted 6 July 2015 Available online 22 July 2015