Mathematische Linguistik: Eine Einführung
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In der traditionellen Sprachwissenschaft machte man eine wichtige Unterscheidung zwischen "besonderer Grammatik" und "universaler Gram- matik", wobei sich die erste mit den idiosynkratischen Eigenschaften spezifischer Sprachen, die zweite mit den allgemeinen Merkmalen jeder menschlichen Sprache besch�ftigt. In den letzten Jahren ist diese Un- terscheidung erneut in den Vordergrund der Forschung ger�ckt worden, und dieses erneute Interesse fiel mit dem Beginn ernsthafter Forschung auf einem Gebiet der mathematischen Linguistik zusammen, das man manch- mal "algebraische Linguistik" nennt, um es von statistischen Sprach- untersuchungen und vom Studium probilistischer Performanzmodelle zu unterscheiden. Das Zusammenfallen dieser Entwicklungen ist in mancher Hinsicht ganz nat�rlich. Algebraische Linguistik studiert die formalen Eigenschaften nat�rlicher Sprache, indem sie von spezifischen Realisie- rungen in einzelnen Sprachen abstrahiert. So definiert ist sie von der universalen Grammatik gar nicht zu unterscheiden, obwohl es in der Pra- xis eine Arbeitsteilung zwischen den st�rker empirisch orientierten Studien der universalen Grammatik und den streng mathematischen Studien der von der linguistischen Forschung vorgeschlagenen formalen Struktu- ren gegeben hat. Die Existenz dieser Teilung ist einerseits ein Zeichen f�r den unausgereiften Stand der Forschung auf diesem Gebiet, anderer- seits eine Widerspiegelung der differierenden Motivationen und Inter- essen der einzelnen Forscher. Wenn die Teilung inhaltlich eingeschr�nkt werden kann, dann k�nnte eine echte Theorie der mathematischen Lingui- stik entstehen, die rein abstrakt die Klasse der von den Prinzipien der universalen Grammatik definierten Systeme untersucht - die Klasse "m�g- licher menschlicherSprachen".
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