Mathematical Objects Exist

Famous quotes containing the words mathematical, objects and/or exist:

    As we speak of poetical beauty, so ought we to speak of mathematical beauty and medical beauty. But we do not do so; and that reason is that we know well what is the object of mathematics, and that it consists in proofs, and what is the object of medicine, and that it consists in healing. But we do not know in what grace consists, which is the object of poetry.
    Blaise Pascal (1623–1662)

    The objects of a financier are, then, to secure an ample revenue; to impose it with judgment and equality; to employ it economically; and, when necessity obliges him to make use of credit, to secure its foundations in that instance, and for ever, by the clearness and candour of his proceedings, the exactness of his calculations, and the solidity of his funds.
    Edmund Burke (1729–1797)

    When we do not know the truth of a thing, it is of advantage that there should exist a common error which determines the mind of man.... For the chief malady of man is restless curiosity about things which he cannot understand; and it is not so bad for him to be in error as to be curious to no purpose.
    Blaise Pascal (1623–1662)