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The Early Development of Set Theory Stanford Encyclopedia ~ This led him into the ramified type theory that formed the basis of Principia Mathematica 3 volumes Whitehead and Russell 1910–1913 his joint work with Alfred Whitehead Other authors like Zermelo believed that most of those paradoxes dissolved as soon as one worked within a restricted axiomatic system They concentrated on the “settheoretic” paradoxes as we have done above and

Mathematical logic Wikipedia ~ Mathematical logic is a subfield of mathematics exploring the applications of formal logic to mathematics It bears close connections to metamathematics the foundations of mathematics and theoretical computer science The unifying themes in mathematical logic include the study of the expressive power of formal systems and the deductive power of formal proof systems

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Science Wikipedia ~ Science in a broad sense existed before the modern era and in many historical civilizations Modern science is distinct in its approach and successful in its results so it now defines what science is in the strictest sense of the term Science in its original sense was a word for a type of knowledge rather than a specialized word for the pursuit of such knowledge

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