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Material conditional/paradoxes of the material implication/Jackson/Field: best solution: (Jackson, 1979): Thesis: Contraintuitive conclusions are unacceptable here: the conclusions cannot be asserted, but nevertheless true - there is a conventional implication for that if we assert "if A then B", not only the probability is high (A > B) , but also the conditional probability P (A > B I A). - N.B./Field: the demand that P (A > B I A) should be high is equivalent to the demand of the nonfactualist that P (B I A) is high. - "surface logic": has to do with assertibility- "depth logic": says what is truth-maintaining.
Factualism: has then to distinguish between levels of total unacceptability (i.e., on the surface) and acceptability at a deep level.
Deflationism: in the same way the deflationism can distinguish between nonfactualism and factualism without using the terms "true" or "fact". Factualism: the factualism does not accept any contraintive conclusions - nonfactualism: seems committed to it.
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