Set Theory And Foundations Of Mathematics: An Introduction To Mathematical Logic - Volume I: Set Theory. Douglas Cenzer

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Set Theory And Foundations Of Mathematics: An Introduction To Mathematical Logic - Volume I: Set Theory - Douglas Cenzer

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by Euclid. It was understood that the primitive concept must be that of a set (as opposed to a real number, for example), since the treatment of real numbers can be fairly easily reinterpreted as speaking about sets of a certain specific kind. The need for a careful choice of axioms was accentuated by several paradoxes, of which the simplest and most famous is Russell’s paradox: consider the “set”x of all sets z which are not elements of themselves. Consider the question whether xx or not. If x

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