The above comparison of the domain R of rational numbers with a straight line has led to the recognition of the existence of gaps, of a certain incompleteness or discontinuity of the former, while we ascribe to the straight line completeness, absence of gaps, or continuity. In what then does this continuity consist? Everything must depend on the answer to this question, and only through it shall we obtain a scientific basis for the investigation of all continuous domains.
Richard DedekindRelated topics
above absence answer certain completeness continuity discontinuity everything incompleteness led line question straight whileRelated quotes
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Charles Evans Hughes
What I affirm is the intuition that where God's presence is no longer a tenable supposition and where His absence is no longer a felt, indeed overwhelming weight, certain dimensions of thought and creativity are no longer attainable. And I would vary Yeats's axiom so as to say: no man can read fully, can answer answeringly to the aesthetic, whose "nerve and blood" are at peace in sceptical rationality, are now at home in immanence and verification. We must read as if.
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