Lennox is right and Atkins is just out of his depth here. I'm not familiar with any position on the ontology of mathematics that treats mathematics as possessing causal capabilities. If I had to argue against mathematics being causal I'd offer up the following argument I just thought of:
Quote:1) An object is a causal agent iff it can be affected.
2) If an object can be causally affected, then that object is mutable.
3) Mathematics are immutable.
4) Therefore mathematics are not a causal agent.
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-George Carlin