Full Idea
Recent commentators have noted that Frege's versions of the basic propositions of arithmetic can be derived from Hume's Principle alone, that the fatal Law V is only needed to derive Hume's Principle itself from the definition of number.
Gist of Idea
We can get arithmetic directly from HP; Law V was used to get HP from the definition of number
Source
Penelope Maddy (Naturalism in Mathematics [1997], I.1)
Book Reference
Maddy,Penelope: 'Naturalism in Mathematics' [OUP 2000], p.7
A Reaction
Crispin Wright is the famous exponent of this modern view. Apparently Charles Parsons (1965) first floated the idea.