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Readers seeking evidence for a given proposition won't have to wade through stage-setting, explanation, analysis, discussion, and review, which they may not need.
States of affairs are truthmakers for propositions, though Armstrong argues that there may be many such truthmakers for a given proposition, and vice versa.
Kroedel (2012) suggests to avoid the lottery paradox by considering justification a form of permissibility: an agent's high subjective probability for a given proposition is not sufficient for believing this proposition, but merely for the permissibility of believing this proposition.
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For Lewis, no two possible worlds differ with respect to whether a given proposition P is contingent.
Now let \(A\) be a given proposition.
For example, given proposition 13, if Adam exists, then necessarily Adam is father of Cain and Abel as sons, grandfather of their children, great-grandfather of their children, etc., and everything that will ever happen to all of them is already determined.
Some authors take conditional probability measures Pr(·, given -): A×(A\) → ℜ as primitive and define (unconditional) probability measures in terms of them as Pr(A) = Pr(A, given W) for all propositions A in A. See Hájek (2003).
The second half of the course centers on debates in which teams of students will argue for and against a given policy proposition, with the aim of sharpening everyone's arguments on the basis of existing empirical evidence.
If there are more than five highest scoring propositions for a given term, the algorithm removes all propositions for this term.
Different assets will be needed for the cross-functional activities required for effective selling of a given value proposition.
Invoking Proposition 2.1, for a given, the problem (HIE-2).
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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