## Elementary logic of science and mathematics |

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### Contents

Chapter One Logic and the Sciences | 1 |

Chapter Two The Propositional Calculus | 12 |

Chapter Three The Functional Calculus | 64 |

Copyright | |

12 other sections not shown

### Common terms and phrases

1-identical arithmetic mean asserted axiom schemata axiomatic d.s. axiomatic system BAH2 Boolean Algebra Boolean polynomial brackets Calculus called categorical proof categorically provable column concepts constructed Deduction Theorem definition Demonstration denoted Dimensional Analysis equal event example facts false finite follows formulae frequency function generalisations geometry Hence hypothesis implies indexed family induction integers integral domain length Math mathematical Mathematical Induction mathematician measurements mercury Modus Ponens nature negation notation objects observation obtained occurrence one-one correspondence ordered pairs ordered samples PCWR Peano-Russell Peano-Russell notation Peirce phenomena population positive integers possible prime number principle probability theory proof number proof structure properties proposition Propositional Calculus quantity quantity-types rational numbers real number relation rules of deduction schema scientific laws section of order Show simply-consistent standard statistics subsequent step subset Suppose suppositional method symbols tautologous term variables tion true truth table uq ex valid