Categorical Abstract Algebraic Logic: Referential π-Institutions

Wójcicki introduced in the late 1970s the concept of a referential semantics for propositional logics. Referential semantics incorporate features of the Kripke possible world semantics for modal logics into the realm of algebraic and matrix semantics of arbitrary sentential logics. A well-known theorem of Wójcicki asserts that a logic has a referential semantics if and only if it is selfextensional. Referential semantics was subsequently studied in detail by Malinowski and the concept of selfextensionality has played, more recently, an important role in the field of abstract algebraic logic in connection with the operator approach to algebraizability. We introduce and review some of the basic definitions and results pertaining to the referential semantics of π-institutions, abstracting corresponding results from the realm of propositional logics

Outlook-based semantics

This paper presents and advocates an approach to the semantics of opinion statements, including matters of personal taste and moral claims. In this framework, 'outlook-based semantics', the circumstances of evaluation are not composed of a possible world and a judge (as in 'world-judge relativism'); rather, outlooks replace possible worlds in the role of circumstance of evaluation. Outlooks are refinements of worlds that settle not only matters of fact but also matters of opinion. Several virtues of the framework and advantages over existing implementations of world-judge relativism are demonstrated in this paper. First, world-judge relativism does not actually explain the 'disagreement' of 'faultless disagreement', while a straightforward explanation suggests itself in outlook-based semantics. Second, outlook-based semantics provides an account of subjective attitude verbs that can capture lack of opinionatedness. Third, outlook-based semantics unproblematically explains the connection-building role of aesthetic discourse and the group-relevance of discretionary assertions, while capturing the same effects in world-judge relativism obviates the purpose of the judge parameter. Finally, because the proposed circumstances of evaluation (outlooks) are entirely analogous to possible worlds, the framework is easy to use and extend.https://link.springer.com/article/10.1007/s10988-017-9222-yAccepted manuscriptPublished versio

The role of Vorstellung in literary semantics

In spite of the current panoply of approaches to literary semantics, this paper argues that the discipline suffers from one scandalous absence: the theorization of Vorstellung, or 18perceptual modification. 19 The paper traces the trajectory of the elimination of Vorstellung in language semantics from Frege to Saussure and to the demise of the signified in the post-Saussurean tradition. Alternative perspectives are introduced that promise the rehabilitation of the perceptual ingredients of language, such as cognitive linguistics (Lakoff) and corporeal pragmatics (Ruthrof), approaches that could be used to revive literary semantics by granting Vorstellung its proper role in the theorization of literary meaning

"The Predication Semantics Model: The Role of Predicate: Class in Text Comprehension and Recall"

This paper presents and tests the predication semantics model, a computational model of text comprehension. It goes beyond previous case grammar approaches to text comprehension in employing a propositional rather than a rigid hierarchical tree notion, attempting to maintain a coherent set of propositions in working memory. The authors' assertion is that predicate class contains semantic information that readers use to make generally accurate predictions of a given proposition. Thus, the main purpose of the model-which works as a series of input and reduction cycles-is to explore the extent to which predicate categories play a role in reading comprehension and recall. In the reduction phase of the model, the propositions entered into the memory during the input phase are decreased while coherence is maintained among them. In an examination of the working memory at the end of each cycle, the computational model maintained coherence for 70% of cycles. The model appeared prone to serial dependence in errors: the coherence problem appears to occur because (unlike real readers) the simulation docs not reread when necessary. Overall, the experiment suggested that the predication semantics model is robust. The results suggested that the model emulates a primary process in text comprehension: predicate categories provide semantic information that helps to initiate and control automatic processes in reading, and allows people to grasp the gist of a text even when they have only minimal background knowledge. While needing refinement in several areas presenting minor problems-for example, the lack of a sufficiently complex memory to ensure that when the simulation of the model goes wrong it does not, as at present, stay wrong for successive intervals-the success of the model even at the current restrictive level of detail demonstrates the importance of the semantic information in predicate categories.