|Substitutional Quantification: the substitutional quantification is concerned with the determination of whether linguistic expressions can be formed for a situation. E.g. "There is a true sentence that ...". In contrast, the referential quantification - the form of quantification normally used in predicate logic - tells us something about objects. E.g. "There is at least one object x with the property ..." or "For all objects x applies ...". The decisive difference between the two types of quantification is that, in the case of the possible replacement of a linguistic expression by another expression, a so-called substitution class must be assumed which cannot exist in the case of objects since the everyday subject area is not classified into classes is. E.g. you can replace a table by some box, but you cannot replace the word table by any available word. See also referential quantification, quantification, substitution, inference, implication, stronger/weaker, logic, systems, semantic rise._____________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. |
Substitutional quantification/SQ/Attribution/Belief/Schiffer: we do not ascribe religious properties, but sentences (true or false).
Substitutional quantification/SQ/Schiffer: problem: sentences that we accept as true, although we would say that the corresponding open sentence has no true substitution instance. - E.g. there are properties, nobody will ever think of - E.g. there are truths that we cannot detect. - Solution/Schiffer: neither referential quantification, nor substitution quantification - It is simply an extension of our everyday language. - Why should it take into account the subtleties of quantification? - (> Substitutional quantification in the attenuated sense)._____________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. The note [Author1]Vs[Author2] or [Author]Vs[term] is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition.
Remnants of Meaning Cambridge 1987