What should be used to instead of '='mean equal in the order, /numerically equal in value for non numerically identical events in order theory?

10 October 2017 0 3K Report

Suppose one has a numerical order (objective probability) that is to be represented by another numerical order F (subjective probability) .Where the events are ordered pointwise numerically. W

Think of a multi-dimensional objective probability system where events x,y,(which may be distinct ) may be 'tied', in objective probability (have the same numerical objective probability ; both have objective chance/value 1/3) ;.

That is equal in numerical value val(x)=val(y) ( a number)and one holds that they should be assigned numerically equal siubjective probabilities (also a number) F(x)=F(y) (as an if and only if)

val(x)=val(y) iff F(x)=F(y)

val(x)>val(y) iff F(x)>F(y)

val(x)

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