be the objective thought content contained in event n;
Then the total thought content T in N events is given by
T = Σ a_n * t
Suppose the following law is empirically observed: As N tends toward infinity, the sum T approaches proportionality to the number of events N; in other words,
T = aN
where a is a constant, an empirical average amount of thought content for a single event. (The larger the series of events, the more that larger and smaller events “cancel out”.)
The total thought content T can rise for two reasons, since it is a product: either of its factors a or N could increase. The same is true for a decrease in the respective quantities.
Suppose comrade Luisa applies 2T of thinking to a series of N events. How can one explain this?
Possibility A: The proportionality law applies. The actual content of the events is T, but Luisa thought twice as hard as necessary per event.
Possibility B: The proportionality law does not apply, because the number of events is not statistically large. Therefore she happened to observe an uncharacteristic set of events with large thought content
T_observed = Σ a_n * t >> T_average
Your post seems more like Possibility A because that is when the number of events is thought to be overestimated from the applied thought.
Let
t_n = a_n * tbe the objective thought content contained in event
n;Then the total thought content
TinNevents is given byT = Σ a_n * tSuppose the following law is empirically observed: As
Ntends toward infinity, the sumTapproaches proportionality to the number of eventsN; in other words,T = aNwhere
ais a constant, an empirical average amount of thought content for a single event. (The larger the series of events, the more that larger and smaller events “cancel out”.)The total thought content
Tcan rise for two reasons, since it is a product: either of its factorsaorNcould increase. The same is true for a decrease in the respective quantities.Suppose comrade Luisa applies
2Tof thinking to a series ofNevents. How can one explain this?Possibility A: The proportionality law applies. The actual content of the events is
T, but Luisa thought twice as hard as necessary per event.Possibility B: The proportionality law does not apply, because the number of events is not statistically large. Therefore she happened to observe an uncharacteristic set of events with large thought content
T_observed = Σ a_n * t >> T_averageYour post seems more like Possibility A because that is when the number of events is thought to be overestimated from the applied thought.
Holy shit, you actually did it