Philosophy Dictionary of ArgumentsHome
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| 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. | |||
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Stephen Schiffer on Substitutional Quantification - Dictionary of Arguments
I 206 Substitutional quantification/attribution/belief/Schiffer: we do not ascribe religious properties, but sentences (which are true or false). >Sentences, >Properties. I 288 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 an attenuated sense). >Everyday language, >Quantification._____________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. Translations: Dictionary of Arguments The note [Concept/Author], [Author1]Vs[Author2] or [Author]Vs[term] resp. "problem:"/"solution:", "old:"/"new:" and "thesis:" is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition. |
Schi I St. Schiffer Remnants of Meaning Cambridge 1987 |
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> Counter arguments against Schiffer
> Counter arguments in relation to Substitutional Quantification
Ed. Martin Schulz, access date 2024-04-25