## An introduction to the foundations and fundamental concepts of mathematics |

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#### LibraryThing Review

User Review - divisionbyzer0 - LibraryThingThis is an excellent book tracing the history of deductive procedures and key concepts relevant to the foundation of modern mathematics, specific focus on deductive axiomatics and the utility of ... Read full review

### Contents

One MATHEMATICS BEFORE EUCLID | 1 |

Two EUCLIDS ELEMENTS | 30 |

Four HILBERTS GRUNDLAGEN | 90 |

Copyright | |

8 other sections not shown

### Common terms and phrases

addition and multiplication applied arithmetic assumed assumption axiom of choice axiomatic method binary operation Boolean algebra calculus of propositions called cardinal number circle commutative complex number concept congruent consider consistency construct contains corresponding deductive defined definition denote discourse dyadic relation elementary equal equation established Euclid's Elements Euclidean geometry Euclidean tools example exists finite number following theorems formula given Greek Hilbert hypothesis implied independent infinite integers interpretation intersect inverse line segment Lobachevskian logic mathematical induction mathematicians means natural number system non-Euclidean geometry ordered field ordered pairs parallel postulate perpendicular points positive integers postulate set prime number primitive terms principle Problem projective geometry proof properties prove quadrilateral rational numbers real number system reductio ad absurdum right angles Section set of postulates set theory Show sides space sphere statements straight line subset symbols tautology transformations true truth table upper bound