The topics in medieval logic

The topics is a theory of argumentation based upon topoi or in Latin loci. The medieval logicians used works by Aristotle and Boethius as their sources for this doctrine, but they developed it in a rather original way. The topics became a higher-level analysis of arguments which are non-valid from a purely formal point of view, but where it is none the less legitimate to infer the conclusion from the premiss(es). In this connection the topics give rise to a number of discussions about the form and the matter of arguments. Further the topic contribute to the elaboration of the important doctrine of the second intentions, i.e. higher-level concepts of the particular things. In some respects the topics may be said to form a link between formal and informal logic. The topics vanished as a part of logic at the end of the Middle Ages, perhaps because the medieval logicians never got rid of Boethius' claim to have compiled a complete list of the loci, which was an unlucky one. The topics does not have an exact parallel in modern formal logic, but some reflections on non-formal argumentation by recent authors contain certain resemblances to it.     

Gregory of Nyssa and Divine Simplicity: A Conceptualist Reading

Andrew Radde‐Gallwitz probes Gregory of Nyssa on divine simplicity, a topic that Radde‐Gallwitz treated earlier in a book‐length monograph and takes further here in response to critics. As he notes, the Cappadocians and their opponents shared belief in divine simplicity. But for Gregory, simplicity functions as part of affirming the co‐equal divinity of the Father and Son, against his opponents. Radde‐Gallwitz lists six negative claims that Gregory’s understanding of divine simplicity supports: (1) God is immaterial; (2) God is without parts; (3) God does not possess any perfection “by acquisition”; (4) God does not possess any perfection “by participation”; (5) in God, there is no mixture or conflux of qualities, especially opposite qualities; (6) in God, there are no degrees of more or less. Yet with regard to positive statements about God’s perfections—for example the relation of God’s goodness to God’s wisdom—things are more difficult, as Radde‐Gallwitz shows. Interpreters of Gregory have differed sharply on this issue, in part because Gregory does not make his position crystal clear. Radde‐Gallwitz himself earlier held that Gregory considers God to have real but non‐definitive perfections distinct from the divine essence. Indebted to Richard Cross, however, Radde‐Gallwitz here adjusts his view, distinguishing more firmly between the divine essence itself and our limited concepts. He draws upon the Platonic distinction between natural and conventional naming, which differ in their accounts of what makes words meaningful. Arguing that Gregory is a “naturalist,” he reads Gregory’s texts on divine simplicity in this light.     

The Analytic Truth and Falsity of Disjunctions

Disjunctive inferences are difficult. According to the theory of mental models, it is because of the alternative possibilities to which disjunctions refer. Three experiments corroborated further predictions of the mental model theory. Participants judged that disjunctions, such as Either this year is a leap year or it is a common year are true. Given a disjunction such as Either A or B, they tended to evaluate the four cases in its ‘partition’: A and B, A and not‐B, not‐A and B, not‐A and not‐B, as ‘possible’ or ‘impossible’ in ways that bore out the difference between inclusive disjunctions (‘or both’) and exclusive disjunctions (‘but not both’). Knowledge usually concerns what is true, and so when participants judge that a disjunction is false, or contingent, and evaluate the cases in its partition, they depend on inferences that yield predictable errors. They tended to judge that disjunctions, such as follows: Either the food is cold or else it is tepid, but not both, are true, though in fact they could be false. They tended to infer ‘mirror‐image’ evaluations that yield the same possibilities for false disjunctions as those for true disjunctions. The article considers the implications of these results for alternative theories based on classical logic or on the probability calculus.     

Information Integration in Modulation of Pragmatic Inferences During Online Language Comprehension

Upon hearing a scalar adjective in a definite referring expression such as “the big…,” listeners typically make anticipatory eye movements to an item in a contrast set, such as a big glass in the context of a smaller glass. Recent studies have suggested that this rapid, contrastive interpretation of scalar adjectives is malleable and calibrated to the speaker's pragmatic competence. In a series of eye‐tracking experiments, we explore the nature of the evidence necessary for the modulation of pragmatic inferences in language comprehension, focusing on the complementary roles of top–down information ‐ (knowledge about the particular speaker's pragmatic competence)  and bottom‐up cues  (distributional information about the use of scalar adjectives in the environment). We find that bottom‐up evidence alone (e.g., the speaker says “the big dog” in a context with one dog), in large quantities, can be sufficient to trigger modulation of the listener's contrastive inferences, with or without top‐down cues to support this adaptation. Further, these findings suggest that listeners track and flexibly combine multiple sources of information in service of efficient pragmatic communication.