The standard semantics of \ Rightarrow ( or of negation ) is often rejected by relevantists in their bid to escape the ` paradoxes of material implication', which are not a problem from the perspective of modelling resources and so not rejected by bunched logic.
22.
The inclusion relation has a natural interpretation in various Boolean algebras : in the subset algebra, the subset relation; in arithmetic Boolean algebra, material implication; in the two-element algebra, the set { ( 0, 0 ), ( 0, 1 ), ( 1, 1 ) }.
23.
It has been argued by several authors that material implication does not fully capture the meaning of " If A then B " ( see the paradoxes of material implication ) . " For every object, x, x is either black or not a raven " is " true " when there are no ravens.
24.
It has been argued by several authors that material implication does not fully capture the meaning of " If A then B " ( see the paradoxes of material implication ) . " For every object, x, x is either black or not a raven " is " true " when there are no ravens.
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