Logical Frameworks for Truth and Abstraction: An Axiomatic Study

Elsevier Science B.V. (1996)
Abstract
This English translation of the author's original work has been thoroughly revised, expanded and updated. The book covers logical systems known as type-free or self-referential . These traditionally arise from any discussion on logical and semantical paradoxes. This particular volume, however, is not concerned with paradoxes but with the investigation of type-free sytems to show that: (i) there are rich theories of self-application, involving both operations and truth which can serve as foundations for property theory and formal semantics; (ii) these theories provide a new outlook on classical topics, such as inductive definitions and predicative mathematics; (iii) they are particularly promising with regard to applications. Research arising from paradoxes has moved progressively closer to the mainstream of mathematical logic and has become much more prominent in the last twenty years. A number of significant developments, techniques and results have been discovered. Academics, students and researchers will find that the book contains a thorough overview of all relevant research in this field.
Keywords Logic, Symbolic and mathematical  Truth
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Call number QA9.C324 1996
ISBN(s) 0444823069   9780444823069
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Eric Thomas Updike (2012). Abstraction in Fitch's Basic Logic. History and Philosophy of Logic 33 (3):215-243.
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