The lack of consensus on how to characterize humans' capacity for belief reasoning has
been brought into sharp focus by recent research. Children fail critical tests of belief …

Perceptual representations of objects and approximate magnitudes are often invoked as
building blocks that children combine to acquire the positive integers. Systems of numerical …

On a now orthodox view, humans and many other animals possess a “number sense,” or
approximate number system (ANS), that represents number. Recently, this orthodox view …

The natural numbers may be our simplest, most useful, and best-studied abstract concepts,
but their origins are debated. I consider this debate in the context of the proposal, by Gallistel …

Many experiments with infants suggest that they possess quantitative abilities, and many
experimentalists believe that these abilities set the stage for later mathematics: natural …

How do children as young as 2years of age know that numerals, like one, have exact
interpretations, while quantifiers and words like a do not? Previous studies have argued that …

Ordinary language and scientific language enable us to speak about, in a singular way
(using demonstratives and names), what we recognize not to exist: fictions, the contents of …

This is the third volume of a three-volume set on The Innate Mind. The extent to which
cognitive structures, processes, and contents are innate is one of the central questions …

Over the past 50 years, philosophers and psychologists have perennially argued for the
existence of analog mental representations of one type or another. This study critically …

Empirical discussions of mental representation appeal to a wide variety of representational
kinds. Some of these kinds, such as the sentential representations underlying language use …