Pre-amble: Recovering RC (old-school German version no less). Took 30+ years to finally break free and become an atheist, through negative religious experiences, gradual self-reflection and rationalization (I suspect my degree in Math/Computer Science also had something to add).
Now to my paradox. My (and Dawkins', and probably every other atheist's) quest for truth (resulting in atheism) has been fundamentally based on rationalization. But I cannot mentally get past my own following (ironically rational) argument:
- Rationalism is based on logic.
- Logic is ultimately based on set theory (like most math).
- Sets are groupings of like entities.
- No two real entities exist alike (due to Heisenberg uncertainty, or other quantum-level concept).
- So sets cannot exist (except for abstractions).
- So logic has no foundation.
- So rationalism is impossible.
Seriously, this personal paradox is vexing me - someone please help with where my rationale is breaking down!