Synopsis:
 Set Theory: emancipates Mathematics from its traditional domain (numbers)
 Transfinite numbers
 Zeno's Paradoxes: "if space is infinitely divisible in finite points, then_"
 Solutions to Zeno's Paradoxes
 Hume: space and time are composed of indivisible units having magnitude
 Kant: contradictions are immanent in our conceptions of space and time, so space and time are not real
 Hegel: all reasoning leads to contradictions which can only be reconciled in a higher unity
 Cantor's solution to Zeno's Paradoxes
 A onedimensional line is not a sum of an infinite number of infinitely small points, but a settheoretic union of an infinite number of unitsets of zerodimensional points
 What Zeno proved is a general property of space...
 There is no point next to any other point: between any two points there is always an infinite number of points
 The nondenumerable infinity of points in space and of events in time is much larger than the merely denumerable infinity of integers.
 An infinite series of numbers can have a finite sum
