Frames and rationality: Response to commentators.

The thoughtful and rewarding peer commentaries on my target article come from a broad range of disciplinary perspectives. I engage with the commentaries in three groups. First, I discuss the commentaries that apply my basic approach to new cases not considered in the target article.

Rational framing effects: A multidisciplinary case.

Frames and framing make one dimension of a decision problem particularly salient. In the simplest case, frames <i>prime</i> responses (as in, e.g.

The number sense does not represent numbers, but cardinality comparisons.

Against Clarke and Beck's proposal that the approximate number system (ANS) represents natural and rational numbers, I suggest that the experimental evidence is better accommodated by the (much weaker) thesis that the ANS represents cardinality comparisons. Cardinality comparisons do not stand in arithmetical relations and being able to apply them does not involve basic arithmetical concepts and operations.