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hermanns werk werd nog hetzelfde jaar door johann bernoulli naar zijn moderne vorm veralgemeend.
jakob hermann was the first to show that a is conserved for a special case of the inverse-square central force, and worked out its connection to the eccentricity of the orbital ellipse.
uiteindelijk overtuigde johann bernoulli paul euler ervan dat zijn zoon leonhard voorbestemd was om een groot wiskundige te worden.
euler was at this point studying theology, greek, and hebrew at his father's urging, in order to become a pastor, but bernoulli convinced paul euler that leonhard was destined to become a great mathematician.
bernoulli loste de paradox in 1738 op door te stellen dat kansen verschillend worden beoordeeld op basis van de morele verwachting of nut.
until the mid twentieth century, the standard term for the expected utility was the moral expectation, contrasted with "mathematical expectation" for the expected value.