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12 - Axioms and rules

from Part III - Type-free truth

Published online by Cambridge University Press:  05 February 2015

Volker Halbach
Affiliation:
University of Oxford
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Summary

When browsing through various papers on axiomatic theories of truth, one may get the impression that the goal is to find a combination of attractive axioms and rules of inference that can be combined without rendering the system inconsistent, that is, at least when the systems are formulated in classical logic, without rendering the system inconsistent.

The axioms and rules can only be evaluated against the background of a base theory and base logic, and only in combination with the other proposed axioms and rules. I think a holistic approach to judging axiomatic systems for truth is preferable to a piecemeal treatment where one tries to evaluate axioms and rules separately and then tries to combine as many desirable rules and axioms as possible, or where one tries to optimize some kind of degree of desirability where one starts by scoring each proposed truth-theoretic axiom and rule only against a background logic or the background of a certain base theory without other axioms for truth. Only in connection with a specific logic, a specific base theory, and a set of other axioms and rules for truth, can a candidate axiom for truth be evaluated.

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Publisher: Cambridge University Press
Print publication year: 2014

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  • Axioms and rules
  • Volker Halbach, University of Oxford
  • Book: Axiomatic Theories of Truth
  • Online publication: 05 February 2015
  • Chapter DOI: https://doi.org/10.1017/CBO9781139696586.015
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  • Axioms and rules
  • Volker Halbach, University of Oxford
  • Book: Axiomatic Theories of Truth
  • Online publication: 05 February 2015
  • Chapter DOI: https://doi.org/10.1017/CBO9781139696586.015
Available formats
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  • Axioms and rules
  • Volker Halbach, University of Oxford
  • Book: Axiomatic Theories of Truth
  • Online publication: 05 February 2015
  • Chapter DOI: https://doi.org/10.1017/CBO9781139696586.015
Available formats
×