Quantification in ordinary language
Logic
2011-07-12 v1
Abstract
We firstly show that the standard interpretation of natural quantification in mathematical logic does not provide a satisfying account of its original richness. In particular, it ignores the difference between generic and distributive readings. We claim that it is due to the use of a set theoretical framework. We therefore propose a proof theoretical treatment in terms of proofs and refutations. Thereafter we apply these ideas to quantifiers that are not first order definable like "the majority of".
Keywords
Cite
@article{arxiv.1107.1883,
title = {Quantification in ordinary language},
author = {Michele Abrusci and Christian Retoré},
journal= {arXiv preprint arXiv:1107.1883},
year = {2011}
}
Comments
14TH Congress of Logic, Methodology and Philosophy of Science, Nancy : France (2011)