A Bridge to Advanced Mathematics |
Contents
Preface PART 1 STARTING POINTS | 3 |
Logic Language and Mathematics | 9 |
Logic and Symbolic Logic | 11 |
Copyright | |
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Common terms and phrases
a₁ abstract algebraic assumptions axiom of choice axiom system B₁ calculus called cardinal number chapter claim closed collection compact completeness axiom concept connectedness consider consisting continuous function contradiction correspondence countable countable set Definition denote denumerable discussion equivalence relation Euclidian Euclidian geometry example existence finite function f ƒ is continuous geometry given idea implies infinite sets infinity integer intuitive Lemma Let f limit point logically equivalent mathe mathematicians matics matter meaning natural numbers negation neighborhood non-empty notation number system open interval open set parallel postulate precise problem propositional function prove Question rational numbers reader real numbers reason relative topology result Russell paradox same-number of elements sense sequence set theory statement subset Suppose supremum things tion topological space true truth-value uncountable undefined upper bound usual topology words