|Platonism: Platonism in the narrower sense is the thesis in modern philosophy that some ideas and mental objects, especially ideas, are attributed reality. Various authors are Platonists with respect to e.g. numbers, mathematical entities, or universals. In contrast, e.g. intuitionism of mathematics assumes that numbers are not objects. This distinction has a significant effect on the logical formalisability of statements of mathematics. See also nominalism, mathematical entities, theoretical entities, completeness, evidence, fictions._____________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.|
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Platonism/Boer: (Boer pro) considers the realm of the actual properties and relations as a whole, i.e. we assume that any property or relation that exists, exists necessarily. (Quantity/(s) contains all elements necessarily).
N.B.: from this follows -given principle E! - that the indistinguishability of identity also applies to properties and relations. (See below chapter 4: but we define their identity differently).
"Only possible"/property/relation/Boer: thus we are determined on the thesis that there are no "merely possible" properties or relations, but there could be merely possible individuals._____________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.
Steven E. Boer
Thought-Contents: On the Ontology of Belief and the Semantics of Belief Attribution (Philosophical Studies Series) New York 2010
Steven E. Boer
Knowing Who Cambridge 1986