Alternative Logical Semantics
Alternative Logical Semantics
Jeroen Groenendijk
teaching assistent:
Salvador Mascarenhas
Course ESSLLI 2008 • week 2 • August 11-15 • Hamburg
ILLC
The aim of the course is to study an alternative logic which is based on the idea hat the semantic content of a sentence is just as much determined by he information it provides as by the issues it raises.
The simplest way to illustrate this is by a disjunction like:
Alf will go the party or Bea will go.
The sentence gives the information that at least one them will go, it excludes the possibility that neither Alf nor Bea will go, but it also raises the issue which of the two will go.
We will introduce you to a simple propositional logic, called inquisitive logic, in which this idea is implemented.
The logical language is that of standard propositional logic, but the way disjunction is interpreted gives it inquisitive force.
All kinds of questions, such as yes/no-questions, alternative questions, conditional questions, can be expressed in the language. In the predicate logical version who-questions and which-questions can also be expressed.
Questions are sentences that do not provide information, only raise an issue. The language also contains sentences that only provide information. Negation is the source of assertions. The example given above is a hybrid sentence.
Grice on disjunction:
A standard (if not the standard) employment of “or” is in the specification of possibilities (one of which is supposed by the speaker to be realized, although he does not know which one), each of which is relevant in the same way to a given topic.
hybrid disjunction