Paradoxes of the uncaused cause
I have two versions of the paradox of the uncaused cause; one in paradox logic, and one in trilemmas.
Here’s the paradox-logic version:
Paradox of the Origin:
Let the “origin” be the origin of anything, and only those things, that do not originate themselves.
O is the origin of X = X is not the origin of X
Is the origin the origin of itself?
O is the origin of O = O is not the origin of O
Here’s the trilemma version:
The First Cause Trilemma:
There is a first cause;
All causes are caused;
There are no causal loops;
Choose at most two!
Each of the trilemma’s clauses is plausible, but all three cannot be true at once. Therefore the “two thirds rule”:
If any two trilemma clauses are true, then the third must be false.
So if there are no causal loops;
And there is a first cause;
Then not all causes are caused.
And if all causes are caused;
and there are no causal loops;
Then there is no first cause.
And if there is a first cause;
And all causes are caused;
then there are causal loops.
This suggests three worlds, each of which makes two-thirds of the trilemma true:
The Ray: One with an uncaused cause that causes all else;
The Line: One where causation regresses to infinity;
The Loop: One where causation loops.
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