Question: Prove that Principle 2 implies that we have infinitely many stages available. Hint. Arguing by contradiction, assume instead that we only have finitely many stages.

Prove that Principle 2 implies that we have infinitely many
stages available.
Hint. Arguing by contradiction, assume instead that we only have finitely
many stages. So repeatedly applying Principle 2 we can form a non ending sequence of stages

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