LEADER 05558nam 22006735 450 001 9910349540903321 005 20200629202539.0 010 $a3-030-11527-5 024 7 $a10.1007/978-3-030-11527-2 035 $a(CKB)4100000009523028 035 $a(MiAaPQ)EBC5940311 035 $a(DE-He213)978-3-030-11527-2 035 $a(EXLCZ)994100000009523028 100 $a20191009d2019 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aWeyl and the Problem of Space $eFrom Science to Philosophy /$fedited by Julien Bernard, Carlos Lobo 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (xxvi, 418 pages) $cillustrations 225 1 $aStudies in History and Philosophy of Science,$x0929-6425 ;$v49 311 $a3-030-11526-7 327 $aWeyl and Contemporary Inationary Cosmology: A Methodological and Philosophical Critique (Ryckman) -- From the problem of space to the epistemology of science. Hermann Weyl's reaction on the dimensionality of the world (Bianchi) -- The Argument of the Ball of Plasticine. A Pivot for Weyl's Philosophy of Space (Bernard) -- The changing faces of the Problem of Space (Scholz) -- Logic of gauge (Afriat) -- Hermann Weyl's reading of Gaston Bachelard (Alunni) -- Can I count myself a king of innitesimal space? (Atten) -- Space and manifold of possibilities according to Hermann Weyl (Timmermans) -- Internationalization of Scientic Activity in Spain in the interwar period (Rosell) -- The philosophical residue of the problem of space (Lobo) -- Neighbourhoods and Intersubjectivity Analogies between Weyl's Analyses of the Continuum and Transcendental Phenomenological Theories of Subjectivity (Sieroka) -- Between Phenomenology and intuitionism: the problem of the continuum in Weyl (Pradelle) -- Intuition and conceptual construction in Weyl's analysis of the problem of space (Biagioli) -- Neo-Kantianism and post-Kantianism in Weyl and Poincaré's thought(Audurean) -- Les implications scientiques de l'épistémologie: Weyl et Husserl(Kerszberg) -- Husserl and Weyl on the constitution of space The case of physical space(José da Silva). 330 $aThis book investigates Hermann Weyl?s work on the problem of space from the early 1920s onwards. It presents new material and opens the philosophical problem of space anew, crossing the disciplines of mathematics, history of science and philosophy. With a Kantian starting point Weyl asks: among all the infinitely many conceivable metrical spaces, which one applies to the physical world? In agreement with general relativity, Weyl acknowledges that the metric can quantitatively vary with the physical situation. Despite this freedom, Weyl ?deduces?, with group-theoretical technicalities, that there is only one ?kind? of legitimate metric. This construction was then decisive for the development of gauge theories. Nevertheless, the question of the foundations of the metric of physical theories is only a piece of a wider epistemological problem. Contributing authors mark out the double trajectory that goes through Weyl?s texts, from natural science to philosophy and conversely, always through the mediation of mathematics. Readers may trace the philosophical tradition to which Weyl refers and by which he is inspired (Kant, Husserl, Fichte, Leibniz, Becker etc.), and explore the mathematical tradition (Riemann, Helmholtz, Lie, Klein) that permitted Weyl to elaborate and solve his mathematical problem of space. Furthermore, this volume analyzes the role of the interlocutors with whom Weyl discussed the nature of physical space (Einstein, Cartan, De Sitter, Schrödinger, Eddington). This volume features the work of top specialists and will appeal to postgraduates and scholars in philosophy, the history of science, mathematics, or physics. 410 0$aStudies in History and Philosophy of Science,$x0929-6425 ;$v49 606 $aPhilosophy and science 606 $aHistory 606 $aPhenomenology  606 $aPhysics 606 $aMathematics 606 $aPhilosophy of Science$3https://scigraph.springernature.com/ontologies/product-market-codes/E34000 606 $aHistory of Science$3https://scigraph.springernature.com/ontologies/product-market-codes/731000 606 $aPhenomenology$3https://scigraph.springernature.com/ontologies/product-market-codes/E44070 606 $aHistory and Philosophical Foundations of Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P29000 606 $aHistory of Mathematical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M23009 615 0$aPhilosophy and science. 615 0$aHistory. 615 0$aPhenomenology . 615 0$aPhysics. 615 0$aMathematics. 615 14$aPhilosophy of Science. 615 24$aHistory of Science. 615 24$aPhenomenology. 615 24$aHistory and Philosophical Foundations of Physics. 615 24$aHistory of Mathematical Sciences. 676 $a513.8 676 $a514.3 702 $aBernard$b Julien$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aLobo$b Carlos$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910349540903321 996 $aWeyl and the Problem of Space$92033374 997 $aUNINA