Philosophy Lexicon of Arguments

 
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.

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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.

 
Author Item Excerpt Meta data

 
Books on Amazon
I 206
Substitutional quantification/SQ/Attribution/Belief/Schiffer: we do not ascribe religious properties, but sentences (true or false).
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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? - (> substitution quantification in the attenuated sense).


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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.

Schi I
St. Schiffer
Remnants of Meaning Cambridge 1987


> Counter arguments against Schiffer
> Counter arguments in relation to Substitutional Quantification

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Ed. Martin Schulz, access date 2017-09-21