Philosophy Dictionary of Arguments

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Sequence, logic: ordering within a set of objects (numbers, statements). See also sequent calculus, natural deduction, satisfaction.
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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 Concept Summary/Quotes Sources

John Lyons on Sequences - Dictionary of Arguments

I 78
Def sequential/Linguistics/Lyons: means a fixed order of words. This is not syntagmatic! Syntagmatically compatible words can be in variable order, e.g. Latin.
General:
Logical form: Differentiation between syntagmatic/sequential (or non-sequential):
Suppose there are two groups of units, X and Y,

X = {a, b}, Y = {p, q}

Italic/spelling : a realizes a, etc.
X, Y: are variable quantities that stand for the realization of the units, Suppose these substantial units cannot occur simultaneously (they can be consonants or vowels), but are arranged sequentially among themselves. Then there are three relevant options
(I): linear order fixed: Example X must occur before Y. I.e. ab, aq, bp, bq are possible, but not pa, qa, pb and qb.
(II): "free": "free" in so far as XY and YX can occur, but XY = YX! ((s), i.e. the sequence is irrelevant. This is different than when it makes a difference, but both forms are allowed). (i.e. non-sequential, but syntagmatic).
(III): fixed or free in another sense: it does not matter, because XY is not equal to YX.
I 80
(= sequential-syntagmatic).


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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. 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.

Ly II
John Lyons
Semantics Cambridge, MA 1977

Lyons I
John Lyons
Introduction to Theoretical Lingustics, Cambridge/MA 1968
German Edition:
Einführung in die moderne Linguistik München 1995


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Ed. Martin Schulz, access date 2024-04-18
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