Why Is a Valid Inference a Good Inference?

Authors
Sinan Dogramaci
University of Texas at Austin
Abstract
True beliefs and truth-preserving inferences are, in some sense, good beliefs and good inferences. When an inference is valid though, it is not merely truth-preserving, but truth-preserving in all cases. This motivates my question: I consider a Modus Ponens inference, and I ask what its validity in particular contributes to the explanation of why the inference is, in any sense, a good inference. I consider the question under three different definitions of ‘case’, and hence of ‘validity’: the orthodox definition given in terms of interpretations or models, a metaphysical definition given in terms of possible worlds, and a substitutional definition defended by Quine. I argue that the orthodox notion is poorly suited to explain what's good about a Modus Ponens inference. I argue that there is something good that is explained by a certain kind of truth across possible worlds, but the explanation is not provided by metaphysical validity in particular; nothing of value is explained by truth across all possible worlds. Finally, I argue that the substitutional notion of validity allows us to correctly explain what is good about a valid inference.
Keywords validity  case  interpretational  substitutional  value  inference
Categories (categorize this paper)
DOI 10.1111/phpr.12206
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive
Through your library

References found in this work BETA

Logical Pluralism.Jc Beall & Greg Restall - 2005 - Oxford University Press.
Philosophy of Logic.W. V. O. Quine - 1970 - Harvard University Press.
Methods of Logic.W. V. Quine - 1950 - Harvard University Press.
The Ways of Paradox.W. V. Quine - 1966 - New York: Random.

Add more references

Citations of this work BETA

Against the Taking Condition.Conor McHugh & Jonathan Way - 2016 - Philosophical Issues 26 (1):314-331.

Add more citations

Similar books and articles

Logic and Truth.Ken Akiba - 2000 - Journal of Philosophical Research 25:101-123.
What is an Inference Rule?Ronald Fagin, Joseph Y. Halpern & Moshe Y. Vardi - 1992 - Journal of Symbolic Logic 57 (3):1018-1045.
Deflationism and Logic.Christopher Gauker - 1999 - Facta Philosophica (1):167-199.
Reasoning with Truth.Peter Roeper - 2010 - Journal of Philosophical Logic 39 (3):275-306.
Demonstrative Induction and the Skeleton of Inference.P. D. Magnus - 2008 - International Studies in the Philosophy of Science 22 (3):303-315.
Instability, Modus Ponens and Uncertainty of Deduction.Huajie Liu - 2006 - Frontiers of Philosophy in China 1 (4):658-674.
Trying in Some Way.David-Hillel Ruben - 2013 - Australasian Journal of Philosophy 91 (4):719-733.

Analytics

Added to PP index
2015-07-24

Total downloads
252 ( #19,071 of 2,293,896 )

Recent downloads (6 months)
13 ( #36,713 of 2,293,896 )

How can I increase my downloads?

Monthly downloads

My notes

Sign in to use this feature