Answer:
anterograde amnesia
Explanation:
Here, Greg is not being able to recall new memories but remembers his old memories. This is a case of anterograde amnesia.
People who have anterograde amnesia lose their explicit memory (declarative memory) but retain their procedural memory.
Procedural memory is the memory which is in the background of a person's conciousness. For example, writing your signature is considered as procedural memory.