08.-09.12.2010

The exchange of numerical information plays a central role in human interaction. We talk about the number of people in a room, the weight of a bag of grain, or the proportion of the population who supports a particular candidate or proposition.

A crucial aspect of much of the quantity information we exchange is that it is approximate, vague or incomplete. Vagueness may be signaled linguistically via modifiers such as *about* (*about 50 books*) and *roughly* (*roughly 20 people*). Even without modification, seemingly precise numerical expressions may be interpreted approximately; for example, *there were 100 people in the audience *is typically understood to mean ‘about 100’. And most centrally, several highly frequent natural language quantifiers, such as *many*, *few*, *most* and *a lot*, are inherently vague.

The goal of the present workshop is to bring together diverse theoretical perspectives on vague quantities and vague quantifiers, from fields including linguistic semantics and pragmatics, logic (particularly fuzzy logic) and cognitive psychology.

Specific topics to be covered include:

- Linguistic treatments of vague quantifiers
- Granularity models of approximation
- Logics for vague quantity
- Generalized fuzzy quantifiers
- The mental representation and processing of vague or approximate quantity
- Reasoning with vague quantifiers

Vague Quantities and Vague Quantifiers (VQ2) is funded by the European Science Foundation under the auspices of the EuroCORES Programme LogICCC, as a joint networking initiative of the following three collaborative research projects:

- Vagueness, Approximation and Granularity (VAAG)
- Logical Models of Reasoning with Vague Information (LoMoReVI)
- Logic for Interaction (LINT)

Organizers: Uli Sauerland (ZAS Berlin), Stephanie Solt (ZAS Berlin) & Chris Fermüller (Technische Universität Wien)

ESF / DFG, EuroCORES Programme, LogiCCC