Let us return to the historical question of Locke’s understanding of infinite power. Locke explicitly rejects the notion that there is an infinite cardinal number. He takes the contention that there is such a number to be absurd. Rather, Locke appears to understand infinite power as unlimited power, consistent with the Aristotelean notion that infinities are “potential” and never completed, as well as with the empiricist idea that infinity is a wholly negative notion. The infinite sets discussed earlier are “actual” or completed infinities. According to one fairly common understanding of unlim...