Eodnhoj7 wrote: ↑
Tue Dec 05, 2017 4:09 am
-1- wrote: ↑
Tue Dec 05, 2017 4:01 am
Yeah, but that's not what the postulate said.
Don't break your own rules now....Which one?
This one (lest we forget):
Thomson's Lamp Solution
Post by Eodnhoj7 » Tue Nov 21, 2017 8:59 am
"Consider a lamp with a toggle switch. Flicking the switch once turns the lamp on. Another flick will turn the lamp off. Now suppose that there is a being able to perform the following task: starting a timer, he turns the lamp on. At the end of one minute, he turns it off. At the end of another half minute, he turns it on again. At the end of another quarter of a minute, he turns it off. At the next eighth of a minute, he turns it on again, and he continues thus, flicking the switch each time after waiting exactly one-half the time he waited before flicking it previously. The sum of this infinite series of time intervals is exactly two minutes.
The following question is then considered: Is the lamp on or off at two minutes? Thomson reasoned that this supertask creates a contradiction:
It seems impossible to answer this question. It cannot be on, because I did not ever turn it on without at once turning it off. It cannot be off, because I did in the first place turn it on, and thereafter I never turned it off without at once turning it on. But the lamp must be either on or off. This is a contradiction."
+1- -1/2+ +1/4- -1/8+ +1/16- -1/32+ +1/64- -1/128+ +1/256
60 30 15 7.5 3.75 1.875 .9375 .46875 .234375
60 90 105 112.5 116.25 118.125 119.0625 119.53125 119.765625 .....ad infinitum
At the rate presented the lamp never reaches two minutes, it is a faulty question as the infinite supertask overrides time itself by forming its own seperate time zone.
Considering time is composed strictly of a relation of movements and the relation of the movements of x person expands infinitely in relation to the movements of timer y.
Timer y rings if and only if it reaches two minutes:
∃y ↔ 120
X is a series of movements greater than zero and less than 120 which is equivalent to infinity
x = [0 < a....b < 120] = ∞
X is equivalent to infinite movement, and considering time is movement, x creates a seperate temporal cycle outside of Y.
In one respect: Y never rings, as x is relative to itself as perpetual movement and exists within its own time cycle.
In a seperate respect Y ringing occurs at the lamp being turned on, off, and midway as the "ringing" embodies multiple different respects at the same time.
A dualism occurs, where:
from X, Y never rings, as x exists outside of Y's time zone considering time for x is measured according to its own movements.
from Y, X manifests all possible degrees of movement at one time in seperate respects. This implies, relative to Y, X is propagating multiple time dimensions and a form of "modal realism" can be observed in which the ringing of the clock observes multiple dimensions relative to each other at one time.
A solution to this dualism, would be Y both ringing and non-ringing as an extension of X and Y exists if and only if X. In these respects, Y is merely a gradation of X as: X/Y with X being the potential of Y.
Y can be observed as a deficiency in X and not a thing in itself hence it only rings if and only if X manifests all possible dimensions at one moment.
In order for X to manifest all dimensions at one moment, it must manifest further temporal cycles which relate to eachother through X.
In these respects, multiple time cycles exist relative to Y both ringing and non-ringing.