Mathematical Objects Exist

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

    It is by a mathematical point only that we are wise, as the sailor or the fugitive slave keeps the polestar in his eye; but that is sufficient guidance for all our life. We may not arrive at our port within a calculable period, but we would preserve the true course.
    Henry David Thoreau (1817–1862)

    Let the maiden, with erect soul, walk serenely on her way, accept the hint of each new experience, search in turn all the objects that solicit her eye, that she may learn the power and charm of her new-born being, which is the kindling of a new dawn in the recesses of space.
    Ralph Waldo Emerson (1803–1882)

    Things perceived by the senses are immediately perceived by the senses; and things immediately perceived by the senses are ideas; and ideas cannot exist without the mind, their existence therefore consists in being perceived; when therefore they are actually perceived, there can be no doubt of their existence.
    George Berkeley (1685–1753)