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Unknown Truths and Unknowable Truths

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Article , Preprint , Conference object 01 Jan 2023Embargo end date: 01 Jan 2023 English Publisher:Springer Nature Switzerland
Authors: Jie Fan;

doi: 10.1007/978-3-031-45558-2_7 , 10.48550/arxiv.2310.05777

arXiv: 2310.05777

Unknown Truths and Unknowable Truths

Abstract

Notions of unknown truths and unknowable truths are important in formal epistemology, which are related to each other in e.g. Fitch's paradox of knowability. Although there have been some logical research on the notion of unknown truths and some philosophical discussion on the two notions, there seems to be no logical research on unknowable truths. In this paper, we propose a logic of unknowable truths, investigate the logical properties of unknown truths and unknowable truths, which includes the similarities of the two notions and the relationship between the two notions, and axiomatize this logic.

pages 13

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Keywords

FOS: Computer and information sciences, Computer Science - Logic in Computer Science, FOS: Mathematics, Mathematics - Logic, Logic (math.LO), Logic in Computer Science (cs.LO)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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