In my opinion:
Peter is a reasonably high functioning person with Asperger's
Syndrome (there's a newer less-well-known name). To quote one
online source:
When you meet someone who has Asperger's syndrome, you might
notice two things right off. He's just as smart as other folks,
but he has more trouble with social skills. He also tends to
have an obsessive focus on one topic or perform the same
behaviors again and again.
In trying to attack formal logic he has bitten off more than he
can chew and tends to drift off into fantasy in self-defense. But
he has had a lifetime of defensive thinking and has developed some
strong self-protections - no matter how self-destructive they seem
to us. Nevertheless he deserves our support rather than our disdain.