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The social epistemologist renders no normative judgment about how these belief relations between members and groups play out.
The neural network then analyzes these distances to determine what are the matching belief relations among the points of the distinct maps.
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Propositions are still relata of the belief relation.
The relevant attitudinal object ("proposition") won't be my standing in the belief relation to certain individuals and properties, but rather there being some agent of kind A standing in the belief relation to these things.
The next axiom is really what makes it possible to determine a comparative belief relation from an agent's preferences.
Before we can investigate the relation between various beliefs and degrees of belief, we have to get clear about the relata of the (degree of) belief relation.
For example, to have the belief that Norman shot Susan is to stand in the belief relation towards the proposition <<Norman, Susan>, being shot by>.
To state Savage's definition, let \(\wcbrel\) be a weak comparative belief relation, defined on the set \ \bS\) of states of the world.
Savage showed that whenever these six axioms are satisfied, the comparative belief relation can be represented by a unique probability function.
The truth of (17) and (7) require that Sally stand in the belief relation to a singular proposition involving Bill himself as a direct constituent.
In an attempt to defend the theory of direct reference, Shier (1996) argues that that-clauses do not provide relata for the belief relation but nonetheless designate propositions.
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Justyna Jupowicz-Kozak
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