|Logical necessity: property of statements, of which it is impossible that they are false. There are different types of necessity that differ in their strength e.g. physical, logical, metaphysical necessity, necessity de dicto and necessity de re._____________Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments. |
Mathematics/physics/necessity/Field: e.g. Laplace equation: physical equation - holds not with logical necessity - even if the mathematics is valid.
Solution: separation in a purely mathematical and a purely physical part. - The equation does not have to be preceded by a necessity operator - but probably a by chance operator.
Problem: that still does not allow to preserve Platonic physics._____________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