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Widerspr\u00fcche und Unendlichkeit \u2014 Beobachtungen bei Nikolaus von Kues und Georg Cantor"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859604","https://noah.nrw/i3f/v20/3560737/canvas/3859606","https://noah.nrw/i3f/v20/3560737/canvas/3859607","https://noah.nrw/i3f/v20/3560737/canvas/3859609","https://noah.nrw/i3f/v20/3560737/canvas/3859610","https://noah.nrw/i3f/v20/3560737/canvas/3859612","https://noah.nrw/i3f/v20/3560737/canvas/3859613","https://noah.nrw/i3f/v20/3560737/canvas/3859615","https://noah.nrw/i3f/v20/3560737/canvas/3859616"],"ranges":["https://noah.nrw/i3f/v20/3560737/range/3859605","https://noah.nrw/i3f/v20/3560737/range/3859608","https://noah.nrw/i3f/v20/3560737/range/3859611","https://noah.nrw/i3f/v20/3560737/range/3859614"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859603","@type":"sc:Range","label":"1. Georg Cantor \u2014 Vom Glanz und Elendunendlicher Mengen"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859606","https://noah.nrw/i3f/v20/3560737/canvas/3859607"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859605","@type":"sc:Range","label":"1.1 Ein bisschen Mengenlehre"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859609","https://noah.nrw/i3f/v20/3560737/canvas/3859610"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859608","@type":"sc:Range","label":"1.2 Das Aktual-Unendliche"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859612","https://noah.nrw/i3f/v20/3560737/canvas/3859613"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859611","@type":"sc:Range","label":"1.3 Inkonsistenzen \u2014 Cantors absolut Unendliches"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859615","https://noah.nrw/i3f/v20/3560737/canvas/3859616"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859614","@type":"sc:Range","label":"1.4 Cantors theologische Versuche"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859618","https://noah.nrw/i3f/v20/3560737/canvas/3859619","https://noah.nrw/i3f/v20/3560737/canvas/3859621","https://noah.nrw/i3f/v20/3560737/canvas/3859622","https://noah.nrw/i3f/v20/3560737/canvas/3859623","https://noah.nrw/i3f/v20/3560737/canvas/3859625","https://noah.nrw/i3f/v20/3560737/canvas/3859626","https://noah.nrw/i3f/v20/3560737/canvas/3859627","https://noah.nrw/i3f/v20/3560737/canvas/3859628"],"ranges":["https://noah.nrw/i3f/v20/3560737/range/3859620","https://noah.nrw/i3f/v20/3560737/range/3859624"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859617","@type":"sc:Range","label":"2. Nikolaus vom Kues \u2014 Veritas in speculomathematico"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859621","https://noah.nrw/i3f/v20/3560737/canvas/3859622","https://noah.nrw/i3f/v20/3560737/canvas/3859623"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859620","@type":"sc:Range","label":"2.1 Differenzen I \u2014 Mathematik und Theologie im Gef\u00fcgedes Geistes"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859625","https://noah.nrw/i3f/v20/3560737/canvas/3859626","https://noah.nrw/i3f/v20/3560737/canvas/3859627","https://noah.nrw/i3f/v20/3560737/canvas/3859628"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859624","@type":"sc:Range","label":"2.2 Differenzen II \u2014 Inwiefern k\u00f6nnte Mathematik derGotteserkenntnis dienen?"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859630"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859629","@type":"sc:Range","label":"3. 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Die Exponentialfunktion"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859649","https://noah.nrw/i3f/v20/3560737/canvas/3859650","https://noah.nrw/i3f/v20/3560737/canvas/3859651","https://noah.nrw/i3f/v20/3560737/canvas/3859652","https://noah.nrw/i3f/v20/3560737/canvas/3859653"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859648","@type":"sc:Range","label":"3. Die (Weiter-)Entwicklung der Analysis in derIntroductio"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859655","https://noah.nrw/i3f/v20/3560737/canvas/3859656"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859654","@type":"sc:Range","label":"Literaturverzeichnis"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859658","https://noah.nrw/i3f/v20/3560737/canvas/3859659","https://noah.nrw/i3f/v20/3560737/canvas/3859661","https://noah.nrw/i3f/v20/3560737/canvas/3859662","https://noah.nrw/i3f/v20/3560737/canvas/3859663","https://noah.nrw/i3f/v20/3560737/canvas/3859664","https://noah.nrw/i3f/v20/3560737/canvas/3859667","https://noah.nrw/i3f/v20/3560737/canvas/3859668","https://noah.nrw/i3f/v20/3560737/canvas/3859669","https://noah.nrw/i3f/v20/3560737/canvas/3859670","https://noah.nrw/i3f/v20/3560737/canvas/3859671","https://noah.nrw/i3f/v20/3560737/canvas/3859673","https://noah.nrw/i3f/v20/3560737/canvas/3859674","https://noah.nrw/i3f/v20/3560737/canvas/3859675","https://noah.nrw/i3f/v20/3560737/canvas/3859676","https://noah.nrw/i3f/v20/3560737/canvas/3859677","https://noah.nrw/i3f/v20/3560737/canvas/3859678","https://noah.nrw/i3f/v20/3560737/canvas/3859680","https://noah.nrw/i3f/v20/3560737/canvas/3859682","https://noah.nrw/i3f/v20/3560737/canvas/3859683","https://noah.nrw/i3f/v20/3560737/canvas/3859684","https://noah.nrw/i3f/v20/3560737/canvas/3859685","https://noah.nrw/i3f/v20/3560737/canvas/3859686","https://noah.nrw/i3f/v20/3560737/canvas/3859688","https://noah.nrw/i3f/v20/3560737/canvas/3859689","https://noah.nrw/i3f/v20/3560737/canvas/3859690","https://noah.nrw/i3f/v20/3560737/canvas/3859691","https://noah.nrw/i3f/v20/3560737/canvas/3859692","https://noah.nrw/i3f/v20/3560737/canvas/3859693","https://noah.nrw/i3f/v20/3560737/canvas/3859694","https://noah.nrw/i3f/v20/3560737/canvas/3859695","https://noah.nrw/i3f/v20/3560737/canvas/3859696","https://noah.nrw/i3f/v20/3560737/canvas/3859697","https://noah.nrw/i3f/v20/3560737/canvas/3859698","https://noah.nrw/i3f/v20/3560737/canvas/3859700","https://noah.nrw/i3f/v20/3560737/canvas/3859701","https://noah.nrw/i3f/v20/3560737/canvas/3859703","https://noah.nrw/i3f/v20/3560737/canvas/3859704"],"ranges":["https://noah.nrw/i3f/v20/3560737/range/3859660","https://noah.nrw/i3f/v20/3560737/range/3859665","https://noah.nrw/i3f/v20/3560737/range/3859679","https://noah.nrw/i3f/v20/3560737/range/3859699","https://noah.nrw/i3f/v20/3560737/range/3859702"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859657","@type":"sc:Range","label":"III. 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John Venns Klassifikation propositionaler Formen"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859667","https://noah.nrw/i3f/v20/3560737/canvas/3859668","https://noah.nrw/i3f/v20/3560737/canvas/3859669","https://noah.nrw/i3f/v20/3560737/canvas/3859670","https://noah.nrw/i3f/v20/3560737/canvas/3859671","https://noah.nrw/i3f/v20/3560737/canvas/3859673","https://noah.nrw/i3f/v20/3560737/canvas/3859674","https://noah.nrw/i3f/v20/3560737/canvas/3859675","https://noah.nrw/i3f/v20/3560737/canvas/3859676","https://noah.nrw/i3f/v20/3560737/canvas/3859677","https://noah.nrw/i3f/v20/3560737/canvas/3859678"],"ranges":["https://noah.nrw/i3f/v20/3560737/range/3859666","https://noah.nrw/i3f/v20/3560737/range/3859672"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859665","@type":"sc:Range","label":"2. 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William Stanley Jevons und seine \u201eLogische Maschine\u201c"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859682","https://noah.nrw/i3f/v20/3560737/canvas/3859683","https://noah.nrw/i3f/v20/3560737/canvas/3859684","https://noah.nrw/i3f/v20/3560737/canvas/3859685","https://noah.nrw/i3f/v20/3560737/canvas/3859686"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859681","@type":"sc:Range","label":"3.1 Jevons\u2019 Methodenverst\u00e4ndnis"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859688","https://noah.nrw/i3f/v20/3560737/canvas/3859689","https://noah.nrw/i3f/v20/3560737/canvas/3859690","https://noah.nrw/i3f/v20/3560737/canvas/3859691","https://noah.nrw/i3f/v20/3560737/canvas/3859692","https://noah.nrw/i3f/v20/3560737/canvas/3859693","https://noah.nrw/i3f/v20/3560737/canvas/3859694","https://noah.nrw/i3f/v20/3560737/canvas/3859695","https://noah.nrw/i3f/v20/3560737/canvas/3859696","https://noah.nrw/i3f/v20/3560737/canvas/3859697","https://noah.nrw/i3f/v20/3560737/canvas/3859698"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859687","@type":"sc:Range","label":"3.2 Jevons\u2019 Logische Maschine"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859700","https://noah.nrw/i3f/v20/3560737/canvas/3859701"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859699","@type":"sc:Range","label":"4. Booles und Jevons\u2019 Verfahren im Vergleich"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859703","https://noah.nrw/i3f/v20/3560737/canvas/3859704"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859702","@type":"sc:Range","label":"5. Zusammenfassung"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859707","https://noah.nrw/i3f/v20/3560737/canvas/3859708","https://noah.nrw/i3f/v20/3560737/canvas/3859709","https://noah.nrw/i3f/v20/3560737/canvas/3859710","https://noah.nrw/i3f/v20/3560737/canvas/3859712","https://noah.nrw/i3f/v20/3560737/canvas/3859713","https://noah.nrw/i3f/v20/3560737/canvas/3859714","https://noah.nrw/i3f/v20/3560737/canvas/3859715","https://noah.nrw/i3f/v20/3560737/canvas/3859717","https://noah.nrw/i3f/v20/3560737/canvas/3859718","https://noah.nrw/i3f/v20/3560737/canvas/3859719","https://noah.nrw/i3f/v20/3560737/canvas/3859720","https://noah.nrw/i3f/v20/3560737/canvas/3859722","https://noah.nrw/i3f/v20/3560737/canvas/3859723","https://noah.nrw/i3f/v20/3560737/canvas/3859724","https://noah.nrw/i3f/v20/3560737/canvas/3859725","https://noah.nrw/i3f/v20/3560737/canvas/3859726","https://noah.nrw/i3f/v20/3560737/canvas/3859728","https://noah.nrw/i3f/v20/3560737/canvas/3859729","https://noah.nrw/i3f/v20/3560737/canvas/3859730","https://noah.nrw/i3f/v20/3560737/canvas/3859731","https://noah.nrw/i3f/v20/3560737/canvas/3859732","https://noah.nrw/i3f/v20/3560737/canvas/3859733","https://noah.nrw/i3f/v20/3560737/canvas/3859734","https://noah.nrw/i3f/v20/3560737/canvas/3859736","https://noah.nrw/i3f/v20/3560737/canvas/3859737","https://noah.nrw/i3f/v20/3560737/canvas/3859738","https://noah.nrw/i3f/v20/3560737/canvas/3859739","https://noah.nrw/i3f/v20/3560737/canvas/3859740","https://noah.nrw/i3f/v20/3560737/canvas/3859741"],"ranges":["https://noah.nrw/i3f/v20/3560737/range/3859706","https://noah.nrw/i3f/v20/3560737/range/3859711","https://noah.nrw/i3f/v20/3560737/range/3859716","https://noah.nrw/i3f/v20/3560737/range/3859721","https://noah.nrw/i3f/v20/3560737/range/3859727","https://noah.nrw/i3f/v20/3560737/range/3859735"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859705","@type":"sc:Range","label":"IV. Zwischen Algebra und Erlanger Schule. Paul Lorenzens Beitr\u00e4ge zur Beweistheorie"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859707","https://noah.nrw/i3f/v20/3560737/canvas/3859708","https://noah.nrw/i3f/v20/3560737/canvas/3859709","https://noah.nrw/i3f/v20/3560737/canvas/3859710"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859706","@type":"sc:Range","label":"1. Einleitung"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859712","https://noah.nrw/i3f/v20/3560737/canvas/3859713","https://noah.nrw/i3f/v20/3560737/canvas/3859714","https://noah.nrw/i3f/v20/3560737/canvas/3859715"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859711","@type":"sc:Range","label":"2. Klassifikation der Beitr\u00e4ge"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859717","https://noah.nrw/i3f/v20/3560737/canvas/3859718","https://noah.nrw/i3f/v20/3560737/canvas/3859719","https://noah.nrw/i3f/v20/3560737/canvas/3859720"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859716","@type":"sc:Range","label":"3. Beweistheorie in den 50er Jahren \u2013 eine Auswahl"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859722","https://noah.nrw/i3f/v20/3560737/canvas/3859723","https://noah.nrw/i3f/v20/3560737/canvas/3859724","https://noah.nrw/i3f/v20/3560737/canvas/3859725","https://noah.nrw/i3f/v20/3560737/canvas/3859726"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859721","@type":"sc:Range","label":"4. Die Widerspruchsfreiheit der verzweigten Typentheorie (1951)"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859728","https://noah.nrw/i3f/v20/3560737/canvas/3859729","https://noah.nrw/i3f/v20/3560737/canvas/3859730","https://noah.nrw/i3f/v20/3560737/canvas/3859731","https://noah.nrw/i3f/v20/3560737/canvas/3859732","https://noah.nrw/i3f/v20/3560737/canvas/3859733","https://noah.nrw/i3f/v20/3560737/canvas/3859734"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859727","@type":"sc:Range","label":"5. \u201e\u00dcber eine Erweiterung des finiten methodischen Rahmens\u201c (1955)"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859736","https://noah.nrw/i3f/v20/3560737/canvas/3859737","https://noah.nrw/i3f/v20/3560737/canvas/3859738","https://noah.nrw/i3f/v20/3560737/canvas/3859739","https://noah.nrw/i3f/v20/3560737/canvas/3859740","https://noah.nrw/i3f/v20/3560737/canvas/3859741"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859735","@type":"sc:Range","label":"Literatur"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859744","https://noah.nrw/i3f/v20/3560737/canvas/3859745","https://noah.nrw/i3f/v20/3560737/canvas/3859747","https://noah.nrw/i3f/v20/3560737/canvas/3859749","https://noah.nrw/i3f/v20/3560737/canvas/3859750","https://noah.nrw/i3f/v20/3560737/canvas/3859752","https://noah.nrw/i3f/v20/3560737/canvas/3859753","https://noah.nrw/i3f/v20/3560737/canvas/3859755","https://noah.nrw/i3f/v20/3560737/canvas/3859757","https://noah.nrw/i3f/v20/3560737/canvas/3859758","https://noah.nrw/i3f/v20/3560737/canvas/3859759","https://noah.nrw/i3f/v20/3560737/canvas/3859761","https://noah.nrw/i3f/v20/3560737/canvas/3859763","https://noah.nrw/i3f/v20/3560737/canvas/3859765","https://noah.nrw/i3f/v20/3560737/canvas/3859767","https://noah.nrw/i3f/v20/3560737/canvas/3859768"],"ranges":["https://noah.nrw/i3f/v20/3560737/range/3859743","https://noah.nrw/i3f/v20/3560737/range/3859746","https://noah.nrw/i3f/v20/3560737/range/3859748","https://noah.nrw/i3f/v20/3560737/range/3859754","https://noah.nrw/i3f/v20/3560737/range/3859756","https://noah.nrw/i3f/v20/3560737/range/3859760","https://noah.nrw/i3f/v20/3560737/range/3859762","https://noah.nrw/i3f/v20/3560737/range/3859764","https://noah.nrw/i3f/v20/3560737/range/3859766"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859742","@type":"sc:Range","label":"V. Die Implementierung der EDV in der Kernforschungsanlage J\u00fclich und das Projekt \u201eSupercomputing\u201c"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859744","https://noah.nrw/i3f/v20/3560737/canvas/3859745"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859743","@type":"sc:Range","label":"1. Einleitung"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859747"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859746","@type":"sc:Range","label":"2. Vorbedingung: Die Entstehung der \u201eComputerScience\u201c"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859749","https://noah.nrw/i3f/v20/3560737/canvas/3859750","https://noah.nrw/i3f/v20/3560737/canvas/3859752","https://noah.nrw/i3f/v20/3560737/canvas/3859753"],"ranges":["https://noah.nrw/i3f/v20/3560737/range/3859751"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859748","@type":"sc:Range","label":"2. Aufbauphase des ZAM: Drei Stufen zum Supercomputer"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859752","https://noah.nrw/i3f/v20/3560737/canvas/3859753"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859751","@type":"sc:Range","label":"2.1 Drei Stufen zum Supercomputer"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859755"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859754","@type":"sc:Range","label":"3. Rechnerkopplung"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859757","https://noah.nrw/i3f/v20/3560737/canvas/3859758","https://noah.nrw/i3f/v20/3560737/canvas/3859759"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859756","@type":"sc:Range","label":"4. H\u00f6chstleistungsrechner in der KFA \u2013 Computingals Disziplin"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859761"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859760","@type":"sc:Range","label":"5. Gr\u00fcndung eines H\u00f6chstleistungsrechenzentrums(HLRZ)"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859763"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859762","@type":"sc:Range","label":"6. Beginn des massiv-parallelen Computings"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859765"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859764","@type":"sc:Range","label":"Res\u00fcmee"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859767","https://noah.nrw/i3f/v20/3560737/canvas/3859768"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859766","@type":"sc:Range","label":"Literatur"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859771","https://noah.nrw/i3f/v20/3560737/canvas/3859772","https://noah.nrw/i3f/v20/3560737/canvas/3859774","https://noah.nrw/i3f/v20/3560737/canvas/3859775","https://noah.nrw/i3f/v20/3560737/canvas/3859777","https://noah.nrw/i3f/v20/3560737/canvas/3859778","https://noah.nrw/i3f/v20/3560737/canvas/3859779","https://noah.nrw/i3f/v20/3560737/canvas/3859781","https://noah.nrw/i3f/v20/3560737/canvas/3859783","https://noah.nrw/i3f/v20/3560737/canvas/3859784","https://noah.nrw/i3f/v20/3560737/canvas/3859785","https://noah.nrw/i3f/v20/3560737/canvas/3859786","https://noah.nrw/i3f/v20/3560737/canvas/3859788","https://noah.nrw/i3f/v20/3560737/canvas/3859789","https://noah.nrw/i3f/v20/3560737/canvas/3859790","https://noah.nrw/i3f/v20/3560737/canvas/3859792","https://noah.nrw/i3f/v20/3560737/canvas/3859793","https://noah.nrw/i3f/v20/3560737/canvas/3859794","https://noah.nrw/i3f/v20/3560737/canvas/3859796","https://noah.nrw/i3f/v20/3560737/canvas/3859797"],"ranges":["https://noah.nrw/i3f/v20/3560737/range/3859770","https://noah.nrw/i3f/v20/3560737/range/3859773","https://noah.nrw/i3f/v20/3560737/range/3859776","https://noah.nrw/i3f/v20/3560737/range/3859780","https://noah.nrw/i3f/v20/3560737/range/3859782","https://noah.nrw/i3f/v20/3560737/range/3859787","https://noah.nrw/i3f/v20/3560737/range/3859791","https://noah.nrw/i3f/v20/3560737/range/3859795"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859769","@type":"sc:Range","label":"VI. The duality of space and function, and category-theoretic dualities"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859771","https://noah.nrw/i3f/v20/3560737/canvas/3859772"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859770","@type":"sc:Range","label":"1. Introduction"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859774","https://noah.nrw/i3f/v20/3560737/canvas/3859775"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859773","@type":"sc:Range","label":"2. Two Kinds of Duality"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859777","https://noah.nrw/i3f/v20/3560737/canvas/3859778","https://noah.nrw/i3f/v20/3560737/canvas/3859779"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859776","@type":"sc:Range","label":"3. From \u201cclassical\u201d to category-theoretic dualities"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859781"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859780","@type":"sc:Range","label":"4. Mac Lane and \u201cfunctional\u201d vs. \u201caxiomatic\u201dduality"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859783","https://noah.nrw/i3f/v20/3560737/canvas/3859784","https://noah.nrw/i3f/v20/3560737/canvas/3859785","https://noah.nrw/i3f/v20/3560737/canvas/3859786"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859782","@type":"sc:Range","label":"5. Buchsbaum, Grothendieck, and duality inhomological algebra"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859788","https://noah.nrw/i3f/v20/3560737/canvas/3859789","https://noah.nrw/i3f/v20/3560737/canvas/3859790"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859787","@type":"sc:Range","label":"6.\r Grothendieck, spaces and functions, and theepistemic gain"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859792","https://noah.nrw/i3f/v20/3560737/canvas/3859793","https://noah.nrw/i3f/v20/3560737/canvas/3859794"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859791","@type":"sc:Range","label":"7. Conclusions"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859796","https://noah.nrw/i3f/v20/3560737/canvas/3859797"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859795","@type":"sc:Range","label":"Bibliography"},{"canvases":["https://noah.nrw/i3f/v20/3560737/canvas/3859799"],"@id":"https://noah.nrw/i3f/v20/3560737/range/3859798","@type":"sc:Range","label":"Adressen der 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