Watch on youtube. A big name-drop during the middle of the Russell episode was the sad story of Georg Cantor and his insanity-inducing continuum hypothesis. Anyone unaware of Cantor and his contributions might want to look at this clip from the Dangerous Knowledge BBC documentary. I thought it provided a good visual explanation of higher levels of infinity. But perhaps they Continue Reading …
A Note on Kant’s Conception of Space and Time
Regarding space and time (and responding to Erik at http://partiallyexaminedlife.com/2010/05/14/episode-19-kant-what-can-we-know/): Kant is explicitly worried about the same thing that troubled Leibniz, which is there is a discord between mathematics and the concrete -- what we consciously see and touch in the world "out there." Leibniz was concerned with the paradox of the Continue Reading …