• quarrk [he/him]@hexbear.net
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    28 days ago

    Let

    t_n = a_n * t
    

    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.