LEADER 03779nam 2200541 450 001 9910817569903321 005 20200520144314.0 010 $a3-11-057239-7 010 $a3-11-057245-1 024 7 $a10.1515/9783110572452 035 $a(CKB)4100000007389777 035 $a(MiAaPQ)EBC5158773 035 $a(DE-B1597)489047 035 $a(OCoLC)1030447555 035 $a(DE-B1597)9783110572452 035 $a(Au-PeEL)EBL5158773 035 $a(EXLCZ)994100000007389777 100 $a20180228h20182018 uy| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aMetamathematics and the philosophical tradition /$fWilliam Boos ; edited by Florence S. Boos 205 $aFirst edition. 210 1$aBoston :$cWalter de Gruyter,$d[2018] 210 4$dİ2018 215 $a1 online resource (494 pages) 311 $a3-11-057221-4 320 $aIncludes bibliographical references and index. 327 $tFrontmatter -- $tContents -- $tPreface -- $tEditorial Remarks -- $t1. Introduction: Boundaries of Experience -- $t2. "Was Blind, But Now I See": Ramifications of Plato's "Line" -- $t3. The Stoics, the Skeptics and Aporetic Autonomy: Is "What Is In Our Power" In Our Power? -- $t4. Anselm, Fides Quaerens Interpretationem, and Grenzideen as Generators of Metatheoretic Ascent -- $t5. "Parfaits Miroirs de l'Univers": A "Virtual" Interpretation of Leibnizian Metaphysics -- $t6. Berkeleyan Metalogical "Signs" and "Master Arguments" -- $t7. The Second-order Idealism of David Hume -- $t8. Kantian Ethics and "the Fate of Reason" -- $t9. Metamathematical Interpretations of Free Will and Determinism -- $t10. Time-Evolution in Random "Universes" -- $tBibliography -- $tIndex of Names -- $tMain Index -- $tForeign Words Index 330 $aMetamathematics and the Philosophical Tradition is the first work to explore in such historical depth the relationship between fundamental philosophical quandaries regarding self-reference and meta-mathematical notions of consistency and incompleteness. Using the insights of twentieth-century logicians from Gödel through Hilbert and their successors, this volume revisits the writings of Aristotle, the ancient skeptics, Anselm, and enlightenment and seventeenth and eighteenth century philosophers Leibniz, Berkeley, Hume, Pascal, Descartes, and Kant to identify ways in which these both encode and evade problems of a priori definition and self-reference. The final chapters critique and extend more recent insights of late 20th-century logicians and quantum physicists, and offer new applications of the completeness theorem as a means of exploring "metatheoretical ascent" and the limitations of scientific certainty. Broadly syncretic in range, Metamathematics and the Philosophical Tradition addresses central and recurring problems within epistemology. The volume's elegant, condensed writing style renders accessible its wealth of citations and allusions from varied traditions and in several languages. Its arguments will be of special interest to historians and philosophers of science and mathematics, particularly scholars of classical skepticism, the Enlightenment, Kant, ethics, and mathematical logic. 606 $aPhilosophy 606 $aMetamathematics 606 $aMathematics$xPhilosophy 615 0$aPhilosophy. 615 0$aMetamathematics. 615 0$aMathematics$xPhilosophy. 676 $a121 700 $aBoos$b William$01646991 702 $aBoos$b Florence Saunders$f1943- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910817569903321 996 $aMetamathematics and the philosophical tradition$93994292 997 $aUNINA