Formal Models at the Core.

The grammatical paradigm used to be a model for entire areas of cognitive science. Its primary tenet was that theories are axiomatic-like systems. A secondary tenet was that their predictions should be tested quickly and in great detail with introspective judgments. While the grammatical paradigm now often seems passé, we argue that in fact it continues to be as efficient as ever. Formal models are essential because they are explicit, highly predictive, and typically modular. They make numerous critical predictions, which must be tested efficiently; introspective judgments do just this. We further argue that the grammatical paradigm continues to be fruitful. Within linguistics, implicature theory is a recent example, with a combination of formal explicitness, modularity, and interaction with experimental work. Beyond traditional linguistics, the grammatical paradigm has proven fruitful in the study of gestures and emojis; literature ("Free Indirect Discourse"); picture semantics and comics; music and dance cognition; and even reasoning and concepts. We argue, however, that the grammatical paradigm must be adapted to contemporary cognitive science. Computational methods are essential to derive quantitative predictions from formal models (Bayesian pragmatics is an example). And data collection techniques offer an ever richer continuum of options, from introspective judgments to large-scale experiments, which makes it possible to optimize the cost/benefit ratio of the empirical methods that are chosen to test theories.

The capacity for music: what is it, and what's special about it?

We explore the capacity for music in terms of five questions: (1) What cognitive structures are invoked by music? (2) What are the principles that create these structures? (3) How do listeners acquire these principles? (4) What pre-existing resources make such acquisition possible? (5) Which aspects of these resources are specific to music, and which are more general? We examine these issues by looking at the major components of musical organization: rhythm (an interaction of grouping and meter), tonal organization (the structure of melody and harmony), and affect (the interaction of music with emotion). Each domain reveals a combination of cognitively general phenomena, such as gestalt grouping principles, harmonic roughness, and stream segregation, with phenomena that appear special to music and language, such as metrical organization. These are subtly interwoven with a residue of components that are devoted specifically to music, such as the structure of tonal systems and the contours of melodic tension and relaxation that depend on tonality. In the domain of affect, these components are especially tangled, involving the interaction of such varied factors as general-purpose aesthetic framing, communication of affect by tone of voice, and the musically specific way that tonal pitch contours evoke patterns of posture and gesture.