LEADER 03790nam 2200613Ia 450 001 9910792700603321 005 20200520144314.0 010 $a1-282-60793-6 010 $a9786612607936 010 $a1-4008-2618-7 024 7 $a10.1515/9781400826186 035 $a(CKB)2670000000028553 035 $a(EBL)537651 035 $a(OCoLC)700686802 035 $a(SSID)ssj0000433707 035 $a(PQKBManifestationID)11311337 035 $a(PQKBTitleCode)TC0000433707 035 $a(PQKBWorkID)10390903 035 $a(PQKB)10240773 035 $a(DE-B1597)446449 035 $a(OCoLC)1004871999 035 $a(DE-B1597)9781400826186 035 $a(Au-PeEL)EBL537651 035 $a(CaPaEBR)ebr10394777 035 $a(CaONFJC)MIL260793 035 $a(MiAaPQ)EBC537651 035 $a(PPN)199244685 035 $a(EXLCZ)992670000000028553 100 $a20030430d2004 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 14$aThe birth of model theory$b[electronic resource] $eLo?wenheim's theorem in the frame of the theory of relatives /$fCalixto Badesa ; translated by Michael Maudsley ; revised by the author 205 $aCourse Book 210 $aPrinceton, N.J. ;$aOxford $cPrinceton University Press$dc2004 215 $a1 online resource (255 pages) 300 $aDescription based upon print version of record. 311 $a0-691-05853-9 320 $aIncludes bibliographical references and index. 327 $t Frontmatter -- $tContents -- $tPreface -- $tChapter 1. Algebra of Classes and Propositional Calculus -- $tChapter 2. The Theory of Relatives -- $tChapter 3. Changing the Order of Quantifiers -- $tChapter 4. The Löwenheim Normal Form -- $tChapter 5. Preliminaries to Löwenheim's Theorem -- $tChapter 6. Löwenheim's Theorem -- $tAppendix. First-Order Logic with Fleeing Indices -- $tReferences -- $tIndex 330 $aLöwenheim's theorem reflects a critical point in the history of mathematical logic, for it marks the birth of model theory--that is, the part of logic that concerns the relationship between formal theories and their models. However, while the original proofs of other, comparably significant theorems are well understood, this is not the case with Löwenheim's theorem. For example, the very result that scholars attribute to Löwenheim today is not the one that Skolem--a logician raised in the algebraic tradition, like Löwenheim--appears to have attributed to him. In The Birth of Model Theory, Calixto Badesa provides both the first sustained, book-length analysis of Löwenheim's proof and a detailed description of the theoretical framework--and, in particular, of the algebraic tradition--that made the theorem possible. Badesa's three main conclusions amount to a completely new interpretation of the proof, one that sharply contradicts the core of modern scholarship on the topic. First, Löwenheim did not use an infinitary language to prove his theorem; second, the functional interpretation of Löwenheim's normal form is anachronistic, and inappropriate for reconstructing the proof; and third, Löwenheim did not aim to prove the theorem's weakest version but the stronger version Skolem attributed to him. This book will be of considerable interest to historians of logic, logicians, philosophers of logic, and philosophers of mathematics. 606 $aLogic, Symbolic and mathematical 615 0$aLogic, Symbolic and mathematical. 676 $a511.3092 700 $aBadesa$b Calixto$0726359 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910792700603321 996 $aThe birth of model theory$93752374 997 $aUNINA LEADER 03615nam 2200661 450 001 9910796720503321 005 20230814223037.0 010 $a90-04-36759-4 024 7 $a10.1163/9789004367593 035 $a(CKB)4100000004840441 035 $a(MiAaPQ)EBC5557361 035 $a(OCoLC)1039238068 035 $a(nllekb)BRILL9789004367593 035 $a(EXLCZ)994100000004840441 100 $a20210425d2018 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aHieroglyph, emblem, and Renaissance pictography /$fby Ludwig Volkmann ; translated and edited by Robin Raybould 210 1$aLeiden ;$aBoston :$cBrill,$d2018. 215 $a1 online resource (xxiv, 307 pages) $cillustrations 225 1 $aBrill's studies in intellectual history,$x0920-8607 ;$vvolume 281 225 1 $aBrill's studies on art, art history, and intellectual history ;$vvolume 28 311 $a90-04-36093-X 320 $aIncludes bibliographical references and index. 327 $aFront Matter -- Copyright page -- Translator's Preface -- List of Illustrations -- Author's Introduction -- The Hieroglyphics of the Italian Humanists -- Emblematics and Its Derivatives: Imprese and Devices -- Hieroglyphics North of the Alps -- Resonances from the Seventeenth and Eighteenth Centuries -- Appendix: Hieroglyphs and Emblems in Printers and Publishers Marks (Signeten) -- Back Matter -- Bibliography. 330 $aRobin Raybould's Hieroglyph, Emblem and Renaissance Pictography is the first English translation of Ludwig Volkmann's Bilderschriften der Renaissance , the classic text which promoted the symbol as a defining cultural and literary characteristic of early modern Europe. Volkmann enumerates and describes many of the works which illustrated the contemporary obsession with hieroglyph, emblem and device, particularly those from France and Germany, thus complementing Karl Giehlow's earlier Hieroglyphenkunde on the subject. Volkmann's book highlights both Renaissance theories of the image as language and the symbol as an aid to an understanding of the meaning of life and the nature of God. Raybould's translation has been described as elegant, admirable and impeccable and includes an introduction, extensive notes and several additional essays on topics relevant to the field. 410 0$aBrill's Studies in Intellectual History$vv. 281. 410 0$aBrill's studies in intellectual history.$pBrill's studies on art, art history, and intellectual history ;$vv. 28. 606 $aHieroglyphics$xHistory$y16th century 606 $aEmblems$xHistory$y16th century 606 $aArt, Renaissance$xThemes, motives 606 $aPrinters' marks 606 $aArt, Renaissance$xThemes, motives$2fast 606 $aEmblems$2fast 606 $aHieroglyphics$2fast 606 $aPrinters' marks$2fast 608 $aHistory.$2fast 615 0$aHieroglyphics$xHistory 615 0$aEmblems$xHistory 615 0$aArt, Renaissance$xThemes, motives. 615 0$aPrinters' marks. 615 7$aArt, Renaissance$xThemes, motives. 615 7$aEmblems. 615 7$aHieroglyphics. 615 7$aPrinters' marks. 676 $a709.02/4 700 $aVolkmann$b Ludwig$f1870-1947.$01540737 701 $aRaybould$b Robin$01540738 701 $aVolkmann$b Ludwig$f1870-1947.$01540737 801 0$bNL-LeKB 801 1$bNL-LeKB 906 $aBOOK 912 $a9910796720503321 996 $aHieroglyph, emblem, and Renaissance pictography$93792542 997 $aUNINA