Gruber Alfred Tarski and the "Concept of Truth in Formalized Languages"

A Running Commentary with Consideration of the Polish Original and the German Translation
1. Auflage 2016
ISBN: 978-3-319-32616-0
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 39, 187 Seiten, eBook

Reihe: Logic, Epistemology, and the Unity of Science

This book provides a detailed commentary on the classic monograph by Alfred Tarski, and offers a reinterpretation and retranslation of the work using the original Polish text and the English and German translations. In the original work, Tarski presents a method for constructing definitions of truth for classical, quantificational formal languages.  Furthermore, using the defined notion of truth, he demonstrates that it is possible to provide intuitively adequate definitions of the semantic notions of definability and denotation and that the notion in a structure can be defined in a way that is analogous to that used to define truth. Tarski’s piece is considered to be one of the major contributions to logic, semantics, and epistemology in the 20th century. However, the author points out that some mistakes were introduced into the text when it was translated into German in 1935. As the 1956 English version of the work was translated from the German text, those discrepancies werecarried over in addition to new mistakes. The author has painstakingly compared the three texts, sentence-by-sentence, highlighting the inaccurate translations, offering explanations as to how they came about, and commenting on how they have influenced the content and suggesting a correct interpretation of certain passages. Furthermore, the author thoroughly examines Tarski’s article, offering interpretations and comments on the work.

Zielgruppe

Research

Autoren/Hrsg.

Gruber, Monika

Inhaltsverzeichnis

Part 1. Introduction.- Chapter 1. Remarks on the objective of the dissertation.-  Chapter 2. Remarks on the construction and the content of the dissertation.- Chapter 3. The text versions used in the present dissertation.- Chapter 4. General terminological questions and translational issues.- Chapter 5. Intuition.- Chapter 6. Materially adequate and formally correct definition.- Chapter 7. Sentence vs. Statement.- Chapter 8. Quantification.- Chapter 9. Consistency.- Chapter 10. Articles.- Chapter 11. Metatheory vs. metascience.- Part 2. Commentary.- Chapter 12. Introduction.- Chapter 13. The Concept of True Sentence in Everyday or Colloquial Language.- Chapter 14. Formalized Languages, especially the Language of the Calculus of Classes.- Chapter 15. The Concept of True Sentence in the Language of the Calculus of Classes.- Chapter 16. The Concept of True Sentence in Languages of Finite Order.- Chapter 17. The Concept of True Sentence in Languages of Infinite Order.- Chapter 18. Summary.- Chapter 19. Postscript.- Conclusion.