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Def Orthographic Coincidence/Predicate/Single-Digit/Multi-Digit/Belief/Field: All the different attributions, e.g. "X believes Russell was bald", "X believes Russell was bald or snow is white", etc. should be regarded as primitive single-digit predicates. - Then we could drop all two-digit predicates, such as "X believes that p", entirely. - Orthographic coincidence: then the fact that the expression "believes that" occurs in both (supposedly) single-digit predicates would be irrelevant, a mere orthographic coincidence. - Similarly, the fact that both contain "Russell was bald". - FieldVs: this cannot be taken seriously, but suppose it were serious: then it would follow that there do not have to be any physical relations between people and propositions. - Then, since we did not speak of a psychological relation, it is clear that there is no realization in which a physical relation would be needed. ((s) Then there must be an infinite number of primitive predicates with complex structure.) - Solution/Field: to avoid the "orthographic coincidence" "X believes that p 0" should be considered as functionally definable for certain sentences p0, in the manner in which it is correct for "X is in pain." - Conclusion: then we need physical properties and possible worlds.
Realism, Mathematics and Modality Oxford New York 1989
Truth and the Absence of Fact Oxford New York 2001
Science without numbers Princeton New Jersey 1980