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Statistics in Science

The Foundations of Statistical Methods in Biology, Physics and Economics

  • Roger Cooke
  • Domenico Costantini

Part of the Boston Studies in the Philosophy of Science book series (BSPS, volume 122)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Maria Carla Galavotti, Guido Gambetta
    Pages 27-40
  3. T. Caliński, E. Ottaviano, M. Sari Gorla
    Pages 89-101
  4. Domenico Costantini, Ubaldo Garibaldi
    Pages 167-181
  5. Back Matter
    Pages 183-184

About this book

Introduction

An inference may be defined as a passage of thought according to some method. In the theory of knowledge it is customary to distinguish deductive and non-deductive inferences. Deductive inferences are truth preserving, that is, the truth of the premises is preserved in the con­ clusion. As a result, the conclusion of a deductive inference is already 'contained' in the premises, although we may not know this fact until the inference is performed. Standard examples of deductive inferences are taken from logic and mathematics. Non-deductive inferences need not preserve truth, that is, 'thought may pass' from true premises to false conclusions. Such inferences can be expansive, or, ampliative in the sense that the performances of such inferences actually increases our putative knowledge. Standard non-deductive inferences do not really exist, but one may think of elementary inductive inferences in which conclusions regarding the future are drawn from knowledge of the past. Since the body of scientific knowledge is increasing, it is obvious that the method of science must allow non-deductive as well as deductive inferences. Indeed, the explosive growth of science in recent times points to a prominent role for the former. Philosophers of science have long tried to isolate and study the non-deductive inferences in science. The inevitability of such inferences one the one hand, juxtaposed with the poverty of all efforts to identify them, constitutes one of the major cognitive embarrassments of our time.

Keywords

Survival analysis probability statistics

Editors and affiliations

  • Roger Cooke
    • 1
  • Domenico Costantini
    • 2
  1. 1.Department of MathematicsDelft University of TechnologyThe Netherlands
  2. 2.Institute of StatisticsUniversity of GenoaItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-009-0619-8
  • Copyright Information Springer Science+Business Media B.V. 1990
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-6765-2
  • Online ISBN 978-94-009-0619-8
  • Series Print ISSN 0068-0346
  • Buy this book on publisher's site
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