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The phrase "a logic of knowledge" is correct and usable in written English.
It can be used when discussing frameworks, theories, or systems that govern the acquisition and organization of knowledge.
Example: "In her thesis, she proposed a logic of knowledge that emphasizes the interconnectedness of various disciplines."
Alternatives: "a framework of understanding" or "a system of knowledge".
Exact(2)
Likewise there could be more than one version of \ \Box\), as in a logic of knowledge with multiple knowers this too doesn't make for any essential differences.
They suggest that a logic of knowledge should formalize not just statements of the form '\ \phi\) is knowable by agent \(i\)' but also ones of the form '\ \phi\) is known by agent \(i\) on the basis of evidence \(t\)'.
Similar(58)
So ⊢ Kjr → r would hold in any system augmented with a faithful logic of knowledge.
Not only bimodal, but multimodal (also called polymodal) logics, are standard in the literature: a typical case is the logic of knowledge (or epistemic logic), usually endowed with modal operators K1, K2,…, Km representing the knowledge of m agents (or "knowers").
The presupposition of ACC is always ⊤. Epistemic logic, the logic of knowledge, is a branch of modal logic where the modality 'i knows that' is studied (compare the entries: epistemic logic, logic of belief revision).
The modal approach to the logic of knowledge is, in a sense, built around the universal quantifier: \(X\) is known in a situation if \(X\) is true in all situations indistinguishable from that one.
The ultimate goal of this paper is to further assess the logic of knowledge and commitments (CTLKC+) from a new perspective (i.e., the soundness and completeness).
Much of the interdisciplinary work in applications of the logic of knowledge is reported in the proceedings of a series of conferences initiated in 1986 with Halpern 1986.
Dynamic Epistemic Logic (DEL) is the logic of knowledge change; it is not about one particular logical system, but about a whole family of logics that allow us to specify static and dynamic aspects of knowledge and beliefs of agents (cf. Van Ditmarsch et al. 2007).
Modern treatments of the logic of knowledge and belief grow out of the work of a number of philosophers and logicians writing from 1948 through the 1950s.
It is in this sense that the word logic is to be taken in such designations as "epistemic logic" (logic of knowledge), "doxastic logic" (logic of belief), "deontic logic" (logic of norms), "the logic of science," "inductive logic," and so on.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.
Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com