|Quantities, philosophy: quantity is an expression for the set of countable objects, which is referred to in a statement, or correspondingly the expression for the mass of an uncountable material substance about which a statement is. Today, quantity is no longer regarded fundamentally as a category, as it was the case in the traditional philosophy since Aristotle. See also qualities, categories, mass terms, problem of quantities._____________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. |
Problem of quantities/Field: e.g. definition of distance with congruence and "between" but without numbers - not "distance three times as large as ...". - E.g. acceleration: not - "twice as much as".
Problem of quantities/relationism: e.g. takes a whole bunch of infinite families of comparative acceleration predicates. - That is the reformulated version -> Movement.
_____________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