| Description |
1 online resource (xii, 461 pages) : illustrations |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
| Series |
Studies in logic and the foundations of mathematics ; v. 135 |
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Studies in logic and the foundations of mathematics ; v. 135.
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| Summary |
This English translation of the author's original work has been thoroughly revised, expanded and updated. The book covers logical systems known as <IT>type-free</IT> or <IT>self-referential</IT>. 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. |
| Bibliography |
Includes bibliographical references (pages 425-440) and index. |
| Note |
Print version record. |
| Subject |
Logic, Symbolic and mathematical.
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Truth.
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Logique symbolique et mathématique.
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Vérité.
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truth.
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MATHEMATICS -- Infinity.
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MATHEMATICS -- Logic.
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Logic, Symbolic and mathematical
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Truth
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Combinatorische logica.
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Modale logica.
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| Indexed Term |
Mathematical logic |
| Other Form: |
Print version: Cantini, Andrea. Logical frameworks for truth and abstraction. Amsterdam ; New York : Elsevier Science B.V., 1996 0444823069 9780444823069 (DLC) 96004681 (OCoLC)34114796 |
| ISBN |
9780444823069 |
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0444823069 |
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9780080535586 (electronic bk.) |
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0080535585 (electronic bk.) |
| Standard No. |
AU@ 000048130832 |
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CHNEW 001005688 |
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DEBBG BV036962248 |
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DEBBG BV039830116 |
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DEBBG BV042317264 |
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DEBSZ 276893573 |
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DEBSZ 482351837 |
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NZ1 12432730 |
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NZ1 15192827 |
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