The Continuum: A Critical Examination of the Foundation of Analysis
This classic text deals with the conceptual problem posed by the continuum — the set of all real numbers. Chapter 1 deals with the logic and mathematics of set and function, while Chapter 2 focuses on the concept of number and the continuum. Advanced-level mathematical landmark will interest anyone working in foundational analysis. Bibliography. Originally published 1918.
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1st level 2nd level afﬁliated algebraic apply arguments arises arithmetic axioms basic categories Bibliography binary domain binary relation CALCULUS cardinal number category natural number category of object Chapter circulus vitiosus Classic concept of set consists construction continuous functions continuum David Hilbert deﬁned delimited derived domain of rational example existence express extensionally ﬁeld ﬁgures ﬁll ﬁlled ﬁlling ﬁnite ﬁrst follows fractions geometry given Hermann Weyl holds Husserl hyperanalysis immediately impredicative individual constant introduction intuition judgment schemes least n elements least upper bound logical mathematical process means one-dimensional sets physics precisely primitive principle of substitution principles of deﬁnition problems properties and relations proposition pure number theory quantum quantum mechanics rational numbers real number rela relations-in-extension satisﬁes sense sentence matrix sequence set and function set of natural set theory signiﬁcance spans sphere of operation subject-ordered surface-points system of elements time-points tion U(xy unit interval variables vector version of analysis Weyl’s