The laws of classical mechanics represent a mathematical idealization and should not be assumed to correspond to the real laws of nature. ... We now have to realize that errors are inevitable (..) a discovery that makes strict determinism impossible.
Let me also remind you that zero, like all of mathematics, is fictional and an idealization. It is impossible to reach absolute zero temperature or to get perfect vacuum. Luckily, mathematics is a fairyland where ideal and fictional objects are possible.doron zeilberger
Do we regard language as more public, more ceremonial, than thought? Just as family men condemn the profanity on the stage that they use constantly in conversation, in the same way we may look to written language as an idealization rather than a reflection of ourselves.Edmund White
What in Calvin had been a qualified concession to practical exigencies appeared in some of his later followers as a frank idealization of the life of the trader, as the service of God and the training-ground of the soul. Discarding the suspicion of economic motives, which had been as characteristic of the reformers as of medieval theologians, Puritanism in its later phases added a halo of ethical sanctification to the appeal of economic expediency, and offered a moral creed, in which the duties of religion and the calls of business ended their long estrangement in an unanticipated reconciliation.r. h. tawney