|All: part of speech, which picks out all elements of the area under consideration. Problems are circular reasoning, decidability, self-reference, paradoxes.|
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all / Field: the use of "all" without quotes is itself the subject of a reinterpretation. - ((s) there could be a contradictory, yet undiscovered property that should not be included under "all properties" - here the dft-operator would in turn help.) - VsDeflationism: one could simply say "..all .. " is true iff "..any ... "- Vs: in addition you need the dft-operator (definite-Op)_ conditions are requested - but not indicated - Field: ditto for higher level quantification.
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