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TABLE OF CONTENTS
Table of Contents
17th Centuries:the Founding 19th and Early actual infinite Ancient Greece argument Aristotle Aristotle’s arithmetical assertion atomists atoms axiom body Bois-Reymond Bolzano Brentano Brouwer Cantor composed conceived considered constructive continuous function coordinates corresponding curve Dedekind defined definition Democritus determination Discrete in Ancient Divergent Conceptions divided domain Early 20th Centuries elements Epicurus equal Euler excluded middle existence extension fact Figure finite follows function given Hegel idea indecomposable indivisible infinite number infinitely divisible infinitely small Infinitesimal Calculus infinity intensive quantity intuition intuitionistic intuitionistic logic Kant law of excluded Leibniz Leucippus limit logic manifold maps mathematical mathematicians matter monads motion Mutakallemim natural numbers Newton object philosophers physical points possible presheaf principle properties quantities Quoted ibid rational numbers real numbers regarded Russell Russell’s segment sense sequence smooth infinitesimal analysis straight line subsets suppose tangent theory things topological space triangle unity variable Weyl whole Zeno’s zero