The Syntax and Semantics of Infinitary Languages

Implicit definability and compactness in infinitary languages.- Some remarks on the model theory of infinitary languages.- Remarks on the theory of geometrical constructions.- Note on admissible ordinals.- An algebraic proof of the barwise compactness theorem.- Formulas with linearly ordered quantifiers.- Some problems in group theory.- Choice of infinitary languages by means of definability criteria; Generalized recursion theory.- Definability, automorphisms, and infinitary languages.- The hanf number for complete sentences.- Quantified algebras.- Normal derivability in classical logic.- A determinate logic.- (?1, ?) properties of unions of models.

List of contents

Implicit definability and compactness in infinitary languages.- Some remarks on the model theory of infinitary languages.- Remarks on the theory of geometrical constructions.- Note on admissible ordinals.- An algebraic proof of the barwise compactness theorem.- Formulas with linearly ordered quantifiers.- Some problems in group theory.- Choice of infinitary languages by means of definability criteria; Generalized recursion theory.- Definability, automorphisms, and infinitary languages.- The hanf number for complete sentences.- Quantified algebras.- Normal derivability in classical logic.- A determinate logic.- (?1, ?) properties of unions of models.

Product details

• Assisted by: Jo Barwise (Editor), Jon Barwise (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 29.06.2009
• EAN: 9783540042426
• ISBN: 978-3-540-04242-6
• No. of pages: 270
• Dimensions: 157 mm x 237 mm x 13 mm
• Weight: 442 g
• Illustrations: VI, 270 p.
• Series: Lecture Notes in Mathematics; Lecture Notes in Mathematics
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Basic principles