A Quick Reductio (Aquinas IP3 168)

To prove: nothing causes itself (where by "cause" here we mean "is the efficient cause of")

Assume: 1. Something does cause itself.
Call one such thing "A."
So the assumption is: A causes A.
Premise: 2. If x causes y, then x is prior to y.
So: 3. A is prior to A. (1,2)
Premise: 4. Nothing is prior to itself.
So: 5. A is not prior to A. (4)
So: 6. Contradiction! (3, 5)
So: 7. The assumption is false. (1-6, reductio)
I.e., Nothing causes itself.


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Richard Lee, rlee@uark.edu, last modified: 31 August 2004