I 221
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).
TZhis is the wrong question.
Analog: the question if the greatest number is odd/even.
I 228 ultimately physical limits: frequency, energy, switches.
Cf. >
Zeno, >
About Zeno.
I 224
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.
>
Cause, >
Effect, >
Causation, >
Causality, cf. >
Determinism.
How does the arrow know, where it must go? This is no physical problem, row term no solution.
I 235
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 there is no border.
PoundstoneVsLukrez: error, to accept a "something".
I 236
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.
>
Olbers Paradox.
I 237
Multiplicity/ZenonVs: even the shortest line contains an infinite number of points, then the whole universe in a nutshell. - In a 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.