Full Idea
Abstractionism needs a face-value, existentially committed reading of the terms occurring on the left-hand sides together with sameness of truth-conditions across the biconditional.
Gist of Idea
Abstractionism needs existential commitment and uniform truth-conditions
Source
B Hale / C Wright (The Metaontology of Abstraction [2009], §5)
Book Reference
'Metametaphysics', ed/tr. Chalmers/Manley/Wasserman [OUP 2009], p.188
A Reaction
They employ 'abstractionism' to mean their logical Fregean strategy for defining abstractions, not to mean the older psychological account. Thus the truth-conditions for being 'parallel' and for having the 'same direction' must be consistent.