Dialetheism and the countermodel problem

Abstract According to some dialetheists, we ought to reject the distinction between object and meta‐languages. Given that dialetheists advocate truth‐value gluts within their object‐language, whether in order to solve the liar paradox or for some other reason, this rejection of the object‐/meta‐language distinction comes with the commitment to use a glutty metatheory. While it has been pointed out that a glutty metatheory brings with it expressive deficiencies, we highlight here another complication arising from the use of a glutty metatheory, this time evidential in nature. According to this countermodel problem , while the thoroughgoing dialetheist who embraces a glutty metatheory can justify their acceptance of a rule of inference's invalidity using countermodels, to justify their renunciation of an unwanted rule they actually require the means to warrant their rejection of the rule's validity —which cannot be supplied by countermodels based on a standard dialetheic semantics. We end by sketching out a possible solution for the thoroughgoing dialetheist using a bilaterialist semantics.

Authors

Publication Details

Journal
Philosophy and Phenomenological Research
Published
2024-10-27
DOI
https://doi.org/10.1111/phpr.13130
Citations
2
Primary Topic
Philosophy and Theoretical Science
Type
article
Field-Weighted Citation Impact
1.02

Funders

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article

Dialetheism and the countermodel problem

Andreas Fjellstad, Ben Martin
2 citations
Philosophy and Phenomenological Research
Philosophy and Theoretical Science
1.02
article

Dialetheism and the countermodel problem

Andreas Fjellstad, Ben Martin
article en
2 citations

Abstract

Abstract According to some dialetheists, we ought to reject the distinction between object and meta‐languages. Given that dialetheists advocate truth‐value gluts within their object‐language, whether in order to solve the liar paradox or for some other reason, this rejection of the object‐/meta‐language distinction comes with the commitment to use a glutty metatheory. While it has been pointed out that a glutty metatheory brings with it expressive deficiencies, we highlight here another complication arising from the use of a glutty metatheory, this time evidential in nature. According to this countermodel problem , while the thoroughgoing dialetheist who embraces a glutty metatheory can justify their acceptance of a rule of inference's invalidity using countermodels, to justify their renunciation of an unwanted rule they actually require the means to warrant their rejection of the rule's validity —which cannot be supplied by countermodels based on a standard dialetheic semantics. We end by sketching out a possible solution for the thoroughgoing dialetheist using a bilaterialist semantics.

Philosophy and Phenomenological ResearchVol. 110(2)
European Commission
Openalex Percentile: Top 21%
Philosophy and Theoretical Science
1.02
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Dialetheism and the countermodel problem — Andreas Fjellstad, Ben Martin · Philosophy and Phenomenological Research (2024) | TGRS Research Map | TGRS