Matches in SemOpenAlex for { <https://semopenalex.org/work/W2947550200> ?p ?o ?g. }
- W2947550200 abstract "The article attempts to reconsider the relationship between Leibniz's and Kant's philosophy of geometry on the one hand and the nineteenth century debate on the foundation of geometry on the other. The author argues that the examples used by Leibniz and Kant to explain the peculiarity of the geometrical way of thinking are actually special cases of what the Jewish-German mathematician Felix Hausdorff called transformation principle, the very same principle that thinkers such as Helmholtz or Poincare applied in a more general form in their celebrated philosophical writings about geometry. The first two parts of the article try to show that Leibniz's and Kant's philosophies of geometry, despite their differences, appear to be preoccupied with the common problem of the impossibility to grasp conceptually the intuitive difference between two figures (such as a figure and its scaled, displaced or mirrored copy). In the third part, it is argued that from the perspective of Hausdorff' s philosophical-geometrical reflections, this very same problem seems to find a more radical application in Helmholtz' s or Poincare' s thought experiments on the impossibility of distinguishing distorted copies of our universe from the original one. I draw the conclusion that in Hausdorff s philosophical work, which has received scholarly attention only recently, one can find not only an original attempt to frame these classical arguments from a set-theoretical point of view, but also the possibility of considering the history of philosophy of geometry from an uncommon perspective, where especially the significance of Kant's infamous appeal to intuition can be judged by more appropriate standards." @default.
- W2947550200 created "2019-06-07" @default.
- W2947550200 creator A5023517828 @default.
- W2947550200 date "2010-01-01" @default.
- W2947550200 modified "2023-09-26" @default.
- W2947550200 title "Urbild und Abbild. Leibniz, Kant und Hausdorff über das Raumproblem The Original and the Copy. Leibniz, Kant and Hausdorff on the Problem of Space" @default.
- W2947550200 cites W1480267407 @default.
- W2947550200 cites W1492277382 @default.
- W2947550200 cites W1492295035 @default.
- W2947550200 cites W1509073307 @default.
- W2947550200 cites W1511502357 @default.
- W2947550200 cites W1523172351 @default.
- W2947550200 cites W1548042637 @default.
- W2947550200 cites W1564219040 @default.
- W2947550200 cites W1564448568 @default.
- W2947550200 cites W1588550414 @default.
- W2947550200 cites W1590774370 @default.
- W2947550200 cites W1594665220 @default.
- W2947550200 cites W1604392671 @default.
- W2947550200 cites W1640423998 @default.
- W2947550200 cites W1687595144 @default.
- W2947550200 cites W1704242448 @default.
- W2947550200 cites W1821793137 @default.
- W2947550200 cites W1968716599 @default.
- W2947550200 cites W1991001266 @default.
- W2947550200 cites W1992481253 @default.
- W2947550200 cites W1992484416 @default.
- W2947550200 cites W1992585013 @default.
- W2947550200 cites W1994213657 @default.
- W2947550200 cites W1999922096 @default.
- W2947550200 cites W2009350044 @default.
- W2947550200 cites W2028503775 @default.
- W2947550200 cites W203257018 @default.
- W2947550200 cites W2035217839 @default.
- W2947550200 cites W2038052461 @default.
- W2947550200 cites W2045805845 @default.
- W2947550200 cites W2055599545 @default.
- W2947550200 cites W2062763281 @default.
- W2947550200 cites W2069040981 @default.
- W2947550200 cites W2090834549 @default.
- W2947550200 cites W2095180801 @default.
- W2947550200 cites W2126305220 @default.
- W2947550200 cites W2171325228 @default.
- W2947550200 cites W2172831369 @default.
- W2947550200 cites W2212769459 @default.
- W2947550200 cites W2322459089 @default.
- W2947550200 cites W2326105238 @default.
- W2947550200 cites W2483322337 @default.
- W2947550200 cites W2486702935 @default.
- W2947550200 cites W2496901757 @default.
- W2947550200 cites W2564486762 @default.
- W2947550200 cites W3143241482 @default.
- W2947550200 cites W3149536977 @default.
- W2947550200 cites W3187184362 @default.
- W2947550200 cites W568967349 @default.
- W2947550200 cites W578693964 @default.
- W2947550200 cites W580843535 @default.
- W2947550200 cites W583937599 @default.
- W2947550200 cites W588039121 @default.
- W2947550200 cites W591717640 @default.
- W2947550200 cites W603509493 @default.
- W2947550200 cites W623137244 @default.
- W2947550200 cites W646803500 @default.
- W2947550200 cites W776649500 @default.
- W2947550200 cites W2556879666 @default.
- W2947550200 cites W605913485 @default.
- W2947550200 hasPublicationYear "2010" @default.
- W2947550200 type Work @default.
- W2947550200 sameAs 2947550200 @default.
- W2947550200 citedByCount "0" @default.
- W2947550200 crossrefType "journal-article" @default.
- W2947550200 hasAuthorship W2947550200A5023517828 @default.
- W2947550200 hasConcept C111472728 @default.
- W2947550200 hasConcept C12713177 @default.
- W2947550200 hasConcept C138885662 @default.
- W2947550200 hasConcept C17744445 @default.
- W2947550200 hasConcept C191399826 @default.
- W2947550200 hasConcept C199539241 @default.
- W2947550200 hasConcept C202444582 @default.
- W2947550200 hasConcept C2524010 @default.
- W2947550200 hasConcept C2776261394 @default.
- W2947550200 hasConcept C33923547 @default.
- W2947550200 hasConceptScore W2947550200C111472728 @default.
- W2947550200 hasConceptScore W2947550200C12713177 @default.
- W2947550200 hasConceptScore W2947550200C138885662 @default.
- W2947550200 hasConceptScore W2947550200C17744445 @default.
- W2947550200 hasConceptScore W2947550200C191399826 @default.
- W2947550200 hasConceptScore W2947550200C199539241 @default.
- W2947550200 hasConceptScore W2947550200C202444582 @default.
- W2947550200 hasConceptScore W2947550200C2524010 @default.
- W2947550200 hasConceptScore W2947550200C2776261394 @default.
- W2947550200 hasConceptScore W2947550200C33923547 @default.
- W2947550200 hasLocation W29475502001 @default.
- W2947550200 hasOpenAccess W2947550200 @default.
- W2947550200 hasPrimaryLocation W29475502001 @default.
- W2947550200 hasRelatedWork W1965735029 @default.
- W2947550200 hasRelatedWork W1978572109 @default.
- W2947550200 hasRelatedWork W1999427644 @default.
- W2947550200 hasRelatedWork W2016904434 @default.
- W2947550200 hasRelatedWork W2055360841 @default.