abbreviatory


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See: compact, pithy
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(13) Ernest Sosa has suggested to me that this use of "explains" as relating propositions, regardless of their truth-value, would connect with ordinary usage better if it were regarded as abbreviatory of "would explain".
But for Russell, a phrase of the form (lx)[phi] is not a genuine term; it is an abbreviatory device that permits (provably legitimate) shortcuts in the course of proofs, and the use of pseudo-formulae that are sometimes easier to grasp than the genuine formulae for which they go proxy.
When using their abbreviatory notation, Whitehead and Russell introduce a device for representing the scope of a description: they place a copy of it within square brackets appended to the front of the formula that constitutes its scope.
Russell introduces a second abbreviatory symbol "E!