Philosophers and linguists currently lack the means to reliably identify evaluative concepts and measure their evaluative intensity. Using a corpus-based approach, we present a new method to distinguish evaluatively thick and thin adjectives like ‘courageous’ and ‘awful’ from descriptive adjectives like ‘narrow,’ and from value-associated adjectives like ‘sunny.’ Our study suggests that the modifiers ‘truly’ and ‘really’ frequently highlight the evaluative dimension of thick and thin adjectives, allowing for them to be uniquely classified. Based on these results, we believe our (...) operationalization may pave the way for a more quantitative approach to the study of thick and thin concepts. (shrink)

Douglas Walton’s multitudinous contributions to the study of argumentation seldom, if ever, directly engage with argumentation in mathematics. Nonetheless, several of the innovations with which he is most closely associated lend themselves to improving our understanding of mathematical arguments. I concentrate on two such innovations: dialogue types (§1) and argumentation schemes (§2). I argue that both devices are much more applicable to mathematical reasoning than may be commonly supposed.