Could time be infinite? If so, then an infinite amount of time occurred before today. But an infinite can’t be traversed, so how did we get to today?
infinity
Potential vs. Actual Infinity
The idea of infinity is problematic, but what if the problem is all in our heads? Aristotle explores the idea that paradoxes of infinity arise because our minds can repeat an action without any specified limit, not because an actual infinite number of things exist.
Hilbert’s Hotel
Supertasks
The idea of an infinite is paradoxical, but what if we can apply that paradox back on itself? A supertask is an infinite task that’s accomplished in a finite amount of time by dividing that time infinitely. Would that solve all out problems? Or is it cheating?
Infinity and Length
Another paradox from the infamous Zeno.
Zeno: Achilles & Tortoise Paradox
Eleatic philosopher Zeno poses a paradox of how motion is possible at all. His goal is to show that motion isn’t possible, and therefore this world is an illusion. Is he successful?