Demonstrated

Famous quotes containing the word demonstrated:

    That three times five is equal to the half of thirty, expresses a relation between these numbers. Propositions of this kind are discoverable by the mere operation of thought, without dependence on what is any where existent in the universe. Though there never were a circle or triangle in nature, the truths, demonstrated by Euclid, would for ever retain their certainty and evidence.
    David Hume (1711–1776)

    If parents award freedom regardless of whether their children have demonstrated an ability to handle it, children never learn to see a clear link between responsible behavior and adult privileges.
    Melinda M. Marshall (20th century)

    It can be demonstrated that the child’s contact with the real world is strengthened by his periodic excursions into fantasy. It becomes easier to tolerate the frustrations of the real world and to accede to the demands of reality if one can restore himself at intervals in a world where the deepest wishes can achieve imaginary gratification.
    Selma H. Fraiberg (20th century)