Modern Set Theory

Famous quotes containing the words modern, set and/or theory:

    And, in fine, the ancient precept, “Know thyself,” and the modern precept, “Study nature,” become at last one maxim.
    Ralph Waldo Emerson (1803–1882)

    One might get the impression that I recommend a new methodology which replaces induction by counterinduction and uses a multiplicity of theories, metaphysical views, fairy tales, instead of the customary pair theory/observation. This impression would certainly be mistaken. My intention is not to replace one set of general rules by another such set: my intention is rather to convince the reader that all methodologies, even the most obvious ones, have their limits.
    Paul Feyerabend (1924–1994)

    There never comes a point where a theory can be said to be true. The most that one can claim for any theory is that it has shared the successes of all its rivals and that it has passed at least one test which they have failed.
    —A.J. (Alfred Jules)