A paraphrase of Section 10 of the Sutra of 42 Sections, a Chinese text.
The function just found cannot, it is true, express rigorously the probabilities of the errors: for since the possible errors are in all cases confined within certain limits, the probability of errors exceeding those limits ought always to be zero, while our formula always gives some value. However, this defect, which every analytical function must, from its nature, labor under, is of no importance in practice, because the value of our function decreases so rapidly... that it can safely be considered as vanishing. Besides, the nature of the subject never admits of assigning with absolute rigor the limits of error.carl friedrich gauss
One of the most important axioms is, that as the quantity of any commodity, for instance, plain food, which a man has to consume, increases, so the utility or benefit derived from the last portion used decreases in degree. The decrease in enjoyment between the beginning and the end of a meal may be taken as an example.william stanley jevons
How can anyone think so insanely that the human life has the same value and mankind, the same morality, independent of numbers? It is lucid to me that everytime a new child is born, the value of every human in world decreases slightly. It is obvious to me that the morality of the population explosion is wholly unlike than when man was a sparse, noble species in its beginning.pentti linkola
" the merchant had observed that the marginal utility of daughters decreases with surprising rapidity."joan robinson
When inward life dries up, when feeling decreases and apathy increases, when one cannot affect or even genuinely touch another person, violence flares up as a daimonic necessity for contact, a mad drive forcing touch in the most direct way possible.rollo may