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Thomson's lamp/Poundstone: light turns on for 1/2 minutes, then off for 1/4 minutes, then 1/8 on ... Total: 1 - question: is it on or off after 1 min? (Sum of infinite elements) -
wrong question - analog: if the greatest number is odd/even.
I 228 ultimately physical limits: frequency, energy, switches.
Zenon/Achilles/Poundstone: Solution: overtaking after 111,111 ... cm - the "infinity" lies in Zeno's analysis, not in physics - Arrow paradox: even in the relativity theory the moment remains vague - here we also believe in cause and effect: the present determines the future - how does the arrow know, where it must go? - No physical problem, row term no solution.
Infinity/border/Lukrez: wanted to prove infinity of the space: if someone hurls an arrow towards the border, it will either fly over the border, or something stops it - so no border - PoundstoneVsLukrez: error, to accept a "something".
Olbers Paradox: four times the area balances like four times weaker radiation - it would heat up on earth to the average temperature of stars - solution: shift of red.
Multiplicity/ZenonVs: even the shortest line contains an infinite number of points, then the whole universe in a nutshell - also hierarchy of even smaller particles - containing mostly nothing, so there was nothing in 99.99% ... - solution/Poundstone: Blur effect by electrons - we needed X-ray vision, which would be switched on only when straightforward connection - then myriads of electrons and quarks - because you cannot see an infinitly small point, everything would be invisible.
I W. Poundstone Im Labyrinth des Denkens, Reinbek 1995