Reflexivity of isometries

Isometries and Approximate Isometries

Some properties of isometric mappings as well as approximate isometries are studied. 2000 Mathematics Subject Classification. Primary 46B04. 1. Isometry and linearity. Mazur and Ulam [17] proved the following well-known result concerning isometries, that is, transformations which preserve distances. Theorem 1.1. Given two real normed vector spaces X and Y , let U be a surjective mapping from X ...

DIMENSIONS OF REFLEXIVITY by

Optimal Reflexivity in Dutch

Binding principles applied to Dutch reflexives are supplemented with optimality considerations and a general principle of linguistic economy to account for differences in reflexivization strategies of Dutch and English. Dutch SE-reflexives are optimally encoded coreference in contrast to the English ordinary bound pronouns they are translated to. Burzio's stated general dispreference for SE-ref...

Contexts, Biases, and Reflexivity

In a recent, welcome contribution, Predelli (2013) presents a fruitful and powerful framework on how truth-conditional semantics can deal with non-truth-conditional meaning. One of the gifts of Predelli’s contribution is that it presents a unifying theory dealing with seemingly various phenomena often relegated to the pragmatics dustbin. Thus, nicknames, slurs, answering machines/post-its, voca...

Reflexivity in pigeons.

A recent theory of pigeons' equivalence-class formation (Urcuioli, 2008) predicts that reflexivity, an untrained ability to match a stimulus to itself, should be observed after training on two "mirror-image" symbolic successive matching tasks plus identity successive matching using some of the symbolic matching stimuli. One group of pigeons was trained in this fashion; a second group was traine...