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and cognitive science, such as What are concepts? and What is it to possess a concept? are notoriously difficult to answer. For example, are concepts abstract mind-independent objects in some Platonic or Fregean sense, or are they better understood as mental representations, such as constituents of thoughts? A common view in cognitive science is that thought is based on word-like mental representations; some say that possessing a concept C involves demonstrating some kind of ability with respect to C s. But which ability? Other longstanding issues concern a proper theory of the structure of concepts. These questions are tackled here by Simon Baron-Cohen, Peter Carruthers, and a distinguished cast of other scientists and philosophers