On Algebra Relativisation

Katie Steele and H. Orri Stefánsson argue that, to reflect an agent’s limited awareness, the algebra of propositions on which that agent’s credences are defined should be relativised to their awareness state. I argue that this produces insurmountable difficulties. But the project of relativising the agent’s algebra to reflect their partial perspective need not be abandoned: the algebra can be relativised, not to the agent’s awareness state, but to what we might call their subjective modality.

Publication Details

Journal
PhilPapers (PhilPapers Foundation)
Published
2025-01-01
Primary Topic
Philosophy and Theoretical Science
Type
article
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article

On Algebra Relativisation

PhilPapers (PhilPapers Foundation)
Philosophy and Theoretical Science
article

On Algebra Relativisation

article en

Abstract

Katie Steele and H. Orri Stefánsson argue that, to reflect an agent’s limited awareness, the algebra of propositions on which that agent’s credences are defined should be relativised to their awareness state. I argue that this produces insurmountable difficulties. But the project of relativising the agent’s algebra to reflect their partial perspective need not be abandoned: the algebra can be relativised, not to the agent’s awareness state, but to what we might call their subjective modality.

PhilPapers (PhilPapers Foundation)
Reduced inequalities
Openalex Percentile: Top 44%
Philosophy and Theoretical Science
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On Algebra Relativisation · PhilPapers (PhilPapers Foundation) (2025) | TGRS Research Map | TGRS