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Tuesday, February 24, 2015

Peano and Grice on 'the': the inverted iota operator


inverted iotaread as ‘the’; is the inverted iota or description operator and is used in expressions for definite descriptions, such as (inverted iotax)φx (which is read: the x such that φx).
[(inverted iotax)φx]a definite description in brackets; this is a scope indicator for definite descriptions.
E! is defined at *14·02, in the context E!(inverted iotax)φx, to mean that the description (inverted iotax)φx is proper, i.e., there is exactly one φ.

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