Philosophia Mathematica 17 (3):313-340 (2009)

Authors
Charlotte Werndl
University of Salzburg
Abstract
This paper addresses the actual practice of justifying definitions in mathematics. First, I introduce the main account of this issue, namely Lakatos's proof-generated definitions. Based on a case study of definitions of randomness in ergodic theory, I identify three other common ways of justifying definitions: natural-world justification, condition justification, and redundancy justification. Also, I clarify the interrelationships between the different kinds of justification. Finally, I point out how Lakatos's ideas are limited: they fail to show how various kinds of justification can be found and can be reasonable, and they fail to acknowledge the interplay among the different kinds of justification
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DOI 10.1093/philmat/nkp006
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References found in this work BETA

Proofs and Refutations (IV).I. Lakatos - 1963 - British Journal for the Philosophy of Science 14 (56):296-342.
Proofs and Refutations.Imre Lakatos - 1980 - Noûs 14 (3):474-478.
Compendium of the Foundations of Classical Statistical Physics.Jos Uffink - 2005 - In Jeremy Butterfield & John Earman (eds.), Handbook of the Philosophy of Physics. Elsevier.
What Are the New Implications of Chaos for Unpredictability?Charlotte Werndl - 2009 - British Journal for the Philosophy of Science 60 (1):195-220.

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Citations of this work BETA

Are Deterministic Descriptions and Indeterministic Descriptions Observationally Equivalent?Charlotte Werndl - 2009 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 40 (3):232-242.
Entropy - A Guide for the Perplexed.Roman Frigg & Charlotte Werndl - 2011 - In Claus Beisbart & Stephan Hartmann (eds.), Probabilities in Physics. Oxford University Press. pp. 115-142.
The Ergodic Hierarchy.Roman Frigg & Joseph Berkovitz - 2011 - Stanford Encyclopedia of Philosophy.

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