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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._____________Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution.
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