## The nature of science, and other essays |

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### Contents

Concept Formation and Operational Definition | 15 |

Quantitative Inductive Procedures | 32 |

The Problem of Real Numbers | 66 |

Copyright | |

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### Common terms and phrases

actual analysis analytic statements apodosis applied argument assert attributes axiom of choice axiom system betting system Bridgman Burks C-function calculus Cantor Cantor's Theorem Carnap causality class of rationals classificatory concepts coherent comparative concept computable consists constitute contain counterfactual conditional decimal Dedekind's deductive defined degree of confirmation determined distinction dyadic relation elements empirical constructs equations equivalent example existence expressions fact factual sciences formal sciences formulation Frege Furthermore given hypothesis ideas individual inductive logic inference interpretation logical constants lower segment mathematics means ment method objects observed operational definition operationally original nomological statement Peano Peano axiom phenomena Philosophy possible predicates Principia Mathematica principle Principle of Indifference probability problem procedure properties propositional functions protasis prove Quine rational number rationals less reference regarded Reichenbach's relation rules Russell schema of translation scientific scientist semantical semifactual sentences Symbolic Logic Symmetry Respecting synthetic statements theory tion true truth valid variables