## The Foundations of Science |

### From inside the book

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### Contents

Authors Preface to the Translation | 3 |

Introduction by Royce | 9 |

Number and Magnitude | 31 |

Copyright | |

38 other sections not shown

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### Common terms and phrases

absolute acceleration action analogous astronomers body called celestial mechanics chance complete induction consequently conservation of energy continuous function contradiction contrary deduce defined definition demonstration displaced distance earth electric electrons elements energy enunciation equal equations ether Euclid's postulate Euclidean Euclidean geometry example experiment experimental fact finger force function geometer geometry give happen Hertz hypothesis induction infinite intuition kinetic theory less light logic longer Lorentz magnetic mass mathematical physics mathematicians mean measure mechanics ments milky mind minor planets molecules motion movements muscular sensations nature necessary Newton's law non-Euclidean non-Euclidean geometry object observed ourselves phenomena phenomenon physical continuum physicist planets position possible postulate precisely principle principle of relativity probability question reason regard relations relative remain result rigor rôle scientific scientist sense simple speak stars straight suffice suppose theorem theory three dimensions tion to-day true velocity vis viva whole numbers word