Infinity

From Paradox to Cosmos

Infinity is where intuition falters and thought sharpens. In clear, disciplined prose, JD Arden takes you from ancient puzzles to modern frontiers: Zeno’s paradoxes and the epsilon–delta rescue, Cantor’s startling hierarchy of infinities, the stubborn richness of the continuum, and the strange geometry of fractals. Along the way you’ll meet measure-theoretic oddities, the Banach–Tarski shock, and the real physical stakes—cosmology’s question of whether space is endless, black holes that trade volume for surface information, and the divergences in quantum fields that renormalization must tame.

This is not a tour for specialists but for curious teens and adults who want a toolkit for thinking clearly about the infinite. Arden balances rigorous definition with vivid metaphors, gives practical philosophical takeaways, and leaves you with concrete ways to ask better questions when infinity appears in math, physics, or computation.