Discuss Cantor's hierarchy of infinite sets and the distinction between countable and uncountable infinity. Explain the continuum hypothesis and its independence from ZFC set theory. Compare actual infinity (completed infinities) with potential infinity (infinite processes). How do these different conceptions of infinity impact foundations of mathematics? Consider whether mathematical objects exist independently of human thought (Platonism) or are constructed through human reasoning (constructivism). Provide your perspective on which conception of infinity best aligns with mathematical practice.