Full Idea
If past moments are seen as abstract (rather than concrete) it doesn't follow that because past objects no longer exist that therefore past times do not exist. The abstractionist needs to say which times are concretely realised.
Gist of Idea
For abstractionists past times might still exist, althought their objects don't
Source
Baron,S/Miller,K (Intro to the Philosophy of Time [2019], 1.7.2)
Book Reference
Baron,S/Miller,K: 'Introduction to the Philosophy of Time' [Polity 2019], p.31
A Reaction
Abstractionists see times as representations of change, rather than as substances.