-
Heuser, H.: ¬Das Unendliche in Philosophie, Theologie und Mathematik (1997)
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- Field
- Philosophie
Mathematik
- Source
- Mitteilungen der Deutschen Mathematiker-Vereinigung. 1997, H.3, S.35-38
-
Puppe, D.: ¬Das Zentralblatt für Mathematik und die mathematische Fachinformation (1995)
0.37
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- Field
- Mathematik
- Object
- Zentralblatt für Mathematik
- Source
- Mitteilungen der Deutschen Mathematiker-Vereinigung. 1995, H.1, S.25-33
-
Axelos, C.; Flasch, K.; Schepers, H.; Kuhlen, R.; Romberg, R.; Zimmermann, R.: Allgemeines/Besonderes (1971-2007)
0.37
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- Abstract
- Als Erfinder des «Allgemeinen» gilt, gemäß dem Bericht des Aristoteles und seit diesem Bericht, Sokrates. Er ist es, der nicht mehr danach suchte, woraus ein Ding zu dem geworden ist, was es ist, oder wie es entstanden ist, sondern danach, «was [ein Ding] ist», und somit ist Sokrates der erste gewesen, der die Herausarbeitung des Allgemeinen (?a?????) forderte und mit seinen Fragen seine Gesprächspartner zu dieser Herausarbeitung trieb bzw. lockte; die Definition (???sµ??) war das Ziel des sokratischen Gesprächs, und die sokratische Aporie war das Vehikel.
- Footnote
- DOI: 10.24894/HWPh.5033. Vgl. unter: https://www.schwabeonline.ch/schwabe-xaveropp/elibrary/start.xav#__elibrary__%2F%2F*%5B%40attr_id%3D%27verw.allgemeinesbesonderes%27%5D__1515856414979.
- Source
- Historisches Wörterbuch der Philosophie. Hrsg.: J. Ritter, K. Gründer u. G. Gabriel
-
Ortlieb, C.P.: Heinrich Hertz und das Konzept des mathematischen Modells (200x)
0.34
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- Abstract
- Die Einleitung zu Heinrich Hertz' letztem Werk "Die Prinzipien der Mechanik in neuem Zusammenhange dargestellt" ist ein Meilenstein auf dem langen Weg von Galileis Auffassung, das "Buch der Natur" sei in "geometrischen Zeichen geschrieben", zum modernen Konzept des mathematischen Modells. Hertz scheint der Erste gewesen zu sein, der die Bedeutung der naturwissenschaftlichen Entwicklung des 19. Jahrhunderts für die Rolle der Mathematik in der Naturerkenntnis ins Bewusstsein gehoben und die Konsequenzen deutlich ausgesprochen hat: Es gibt für einen Gegenstandsbereich etwa der Physik verschiedene richtige mathematische Beschreibungen und nicht nur die eine. Deswegen müssen für die Auswahl der "inneren Scheinbilder und Symbole der äußeren Gegenstände" (im heutigen Sprachgebrauch: der mathematischen Modelle) weitere Kriterien hinzu kommen. Hertz nennt als die drei wichtigsten: Richtigkeit, Zulässigkeit, Zweckmäßigkeit. Das damit verbundene Auseinanderfallen von Mathematik und Substanzwissenschaften hat Folgen auch für die Grenzen der Naturerkenntnis, die mehr als hundert Jahre später immer noch oft übersehen werden.
- Content
- Beitrag zur Tagung «Allgemeine Mathematik: Mathematik und Gesellschaft. Philosophische, historische und didaktische Perspektiven», Schloss Rauischholzhausen, 18. - 20. Juni 2015.
- Field
- Mathematik
Philosophie
-
Grötschel, M.; Lügger, J.; Sperber, W.: Wissenschaftliches Publizieren und elektronische Fachinformation im Umbruch : ein Situationsbericht aus der Sicht der Mathematik (1993)
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- Field
- Mathematik
- Source
- Jahrbuch Überblicke Mathematik, 1994
-
Ortlieb, C.P.: "Wesen der Wirklichkeit" oder "Mathematikwahn"? (2015)
0.32
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- Abstract
- SPIEGEL: Herr Professor, wenn ihnen eine gut Fee verspräche, eine beliebige Frage über die Natur unserer Welt zu beantworten, was würden sie fragen? Tegmark: Lassen Sie mich nachdenken. Hm, wahrscheinlich würde ich sie fragen: Welcher Satz von Formeln liefert eine exakte Beschreibung unserer Welt? SPIEGEL: Und Sie sind überzeugt, dass es solche Weltformeln gibt? Tegmark: Ich vermute es. Aber wenn die Fee mit dem Kopf schütteln und sagen würde: "Sorry, solche Formeln gibt es nicht", dann wäre auch das sehr spannend zu wissen. (SPIEGEL vom 4.4.2015, S. 113) In diesem Aufsatz möchte ich die Position der bösen Fee einnehmen und begründen, warum Tegmarks Frage unsinnig ist, um nicht zu sagen: verrückt
- Content
- Beitrag zur Tagung «Allgemeine Mathematik: Mathematik und Gesellschaft. Philosophische, historische und didaktische Perspektiven», Schloss Rauischholzhausen, 18. - 20. Juni 2015.
- Field
- Mathematik
Philosophie
-
Bühler, A.: Antirealismus und Verifikationismus (1992)
0.32
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- Field
- Philosophie
- Series
- Philosophie und Geschichte der Wissenschaften; Bd.18
- Source
- Wirklichkeit und Wissen: Realismus, Antirealismus und Wirklichkeits-Konzeptionen in Philosophie und Wissenschaften. Hrsg.: H.J. Sandkühler
-
Bulirsch, R.: Nutz und Frommen der Mathematik (1996)
0.32
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- Field
- Mathematik
- Source
- Mitteilungen der Deutschen Mathematiker-Vereinigung. 1996, H.1, S.21-36
-
Tietz, H.: Mathematik und Sprache : oder der Wert von Zweideutigkeiten (1991)
0.32
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- Field
- Mathematik
- Source
- Mitteilungen der Deutschen Mathematiker-Vereinigung. 1991, H.1, S.19-28
-
Mertens, H.-J.; Servos, B.; Stadler, F.: ¬Die Sprache der Mathematik : Das Wortmaterial und seine Beziehung zur Allgemeinsprache (1973)
0.31
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- Field
- Mathematik
-
Neunzert, H.: ¬Die Zukunft der Mathematik : nicht mehr Königin, aber wichtiger Partner von Wissenschaft und Technik (2002)
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- Abstract
- Ich halte es nicht für sinnvoll, darüber zu spekulieren, wie sich eine Wissenschaft in den kommenden Jahrzehnten inhaltlich entwickeln könnte, Neue Theorien tauchen sehr schnell auf, gewinnen höchste Aufmerksamkeit und kehren dann langsam auf ein stabiles, bescheideneres Niveau zurück; man denke etwa an die Katastrophentheorie, an Chaos und Fraktale, an Fuzzy-Logik - vielleicht ist auch die Finanzmathematik schon in einem Normalisierungsprozess. Solche Entwicklungen, insbesondere das Auftreten solcher Phänomene, vorherzusagen, wäre Scharlatanerie. Aber es gibt natürlich auch langwellige Veränderungen des Charakters der Mathematik; so wechseln sich z.B. Phasen, in denen die "innere' Entwicklung der Mathematik dominiert, ab mit Phasen, in denen die Inhalte der Mathematik durch ihre Wechselwirkung mit anderen Wissenschaften bestimmt werden, Solche Phasen sind nie "rein" - immer gab es Mathematiker, die sowohl in reiner wie auch in angewandter Mathematik Bedeutendes leisteten, z.B. B. Riemann, H. Poincare, F. Klein oder N. Wiener. Aber Dominanzen waren unschwer zu erkennen, z.B. die Dominanz der reinen Mathematik im vergangenen Jahrhundert. Ebenso deutlich scheint es mir zu sein, dass wir uns seit wenigen Jahrzehnten im Phasenübergang befinden: Die Mathematik nähert sich wieder den anderen Wissenschaften - nicht nur der Physik, sondern auch der Chemie, Biologie und Medizin; sie nähert sich der Technik, z.B. den Informations- und Kommunikationstechnologien, der Werkstoffwissenschaft, der Robotik usw. Es gilt aber auch das Umgekehrte: Nicht nur Naturwissenschaft und Technik benötigen die Mathematik in steigendem Umfang, selbst Sozial- und Geisteswissenschaften "mathematisieren". Die Disziplinen insgesamt wachsen stärker zusammen: Ist dies vielleicht der Zukunftstrend? Hubert Markl, Präsident der Max-Planck-Gesellschaft, antwortet auf die Frage, ob die Biologie zur "Leitwissenschaft" des 21. Jahrhunderts wird: "Das immer rascher fortschreitende, tiefgründige Zusammenwachsen aller naturwissenschaftlichen Disziplinen, gemeinsam mit der praktischen Mathematik, zu einer einzigen umfassenden Wissenschaft von der Natur, die auch in weite Bereiche von Philosophie, Psychologie, Soziologie und Medizin vordringen wird, dürfte für die Wissenschaftsentwicklung des nächsten Jahrhunderts viel bestimmender sein als ein vermeintlicher Vorrang der Biologie. Erst diese Verbindung von Mathematik, Physik, Chemie und Biologie hat es möglich gemacht und wird weiter immer mehr Grundlage dafür sein, dass die Biowissenschaften sich endlich auch jenen Problemen stellen können, die ihnen ohne disziplinübergreifende Hilfestellung zu schwierig wären - nämlich alle Lebenserscheinungen bis hinein in die molekularen, ursächlichen Einzelheiten aufzuklären. " (aus "Visionen 2000", Brockhaus 1999).
Natürlich steht es mir nicht an, weiter über Biologie zu reden, aber die Einschätzung der künftigen Rolle der Mathematik, in enger Zusammenarbeit mit anderen Wissenschaften an der "Aufklärung" und Gestaltung der Welt zu arbeiten - diese Einschätzung teile ich vollkommen: Die Mathematik wird also weder "Königin der Wissenschaften" sein noch ihre Sklavin; sie wird, wie es sich für ein demokratisches Gemeinwesen gehört, ihre Aufgabe und ihren Sinn hauptsächlich als gleichberechtigter Partner von Informatik, Naturwissenschaften, Technik, von Wirtschafts- und Sozialwissenschaften finden. Das spiegelt sich auch in einer sehr aktuellen Diskussion um den Bedarf an "Computerexperten" wider; die Debatte, die mit unscharfen Begriffen (was ist schon ein "Computerexperte"?) operiert und von geringem Fachwissen (wer von den Diskutanten hat sich je in Indien umgesehen oder wenigstens mit Indern ausführlich gesprochen?) beeinträchtigt wird, zeigt trotzdem, dass wir sowohl schnell auszubildende Softwareprogrammierer wie eben auch sogenannte MINT-Professionals brauchen. MINT - ich habe den Ausdruck in der Industrie gehört - heißt Mathematik + Informatik + Naturwissenschaft + Technik; solche Professionals werden wir nur selten im Ausland "einkaufen" können - sie sind auch dort rar und nicht nur in Deutschland Mangelware, Wir müssen solche MINT-Professionals schon selbst ausbilden - ich komme am Ende auf diese Ausbildungsfrage zurück.
- Field
- Mathematik
-
Göbel, S.: 80-jähriges Jubiläum des Zentralblattes für Mathematik : Einblicke in die Geschichte des Zentralblattes (2011)
0.30
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- Field
- Mathematik
- Object
- Zentralblatt für Mathematik
- Source
- Mitteilungen der Deutschen Mathematiker-Vereinigung. 2011, H.4, S.223-227
-
Wegner, B.; Dennis, R.K.: ¬Die Erfassung der mathematischen Literatur von 1868 bis 1942 (1996)
0.29
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- Abstract
- Kurzbericht über ein Projekt der Mathematical Reviews und des Zentralblattes für Mathematik, das Jahrbuch über die Fortschritte der Mathematik als Datenbank aufzubereiten
- Field
- Mathematik
- Source
- Mitteilungen der Deutschen Mathematiker-Vereinigung. 1996, H.2, S.55
-
Göbel, S.; Sperber, W.: Bibliographische Klassifikationen in der Mathematik : Werkzeuge der inhaltlichen Erschließung und für das Retrieval (2010)
0.28
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- Field
- Mathematik
- Source
- Forum der Berliner Mathematischen Gesellschaft. 12(2010) S.77-99
-
Rheinwald, R.: ¬Der Schluß auf die beste Erklärung und das Induktionsproblem : Votum zu Werner Diederich (1992)
0.28
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- Field
- Philosophie
- Series
- Philosophie und Geschichte der Wissenschaften; Bd.18
- Source
- Wirklichkeit und Wissen: Realismus, Antirealismus und Wirklichkeits-Konzeptionen in Philosophie und Wissenschaften. Hrsg.: H.J. Sandkühler
-
Läsker, L.: Votum zu Gerhard Roth und Helmut Schwegler (1992)
0.27
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- Wirklichkeit und Wissen: Realismus, Antirealismus und Wirklichkeits-Konzeptionen in Philosophie und Wissenschaften. Hrsg.: H.J. Sandkühler
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Tetens, H.: Votum zu Gerhard Roth und Helmut Schwegler (1992)
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Boenke, M.: Votum zu Gerhard Roth und Helmut Schwegler (1992)
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Diederich, W.: Probleme und Grenzen des Anti-Realismus (1992)
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Beckermann, A..: Wie real sind intentionale Zustände? : Dennett zwischen Fodor und den Churchlands (1992)
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- Wirklichkeit und Wissen: Realismus, Antirealismus und Wirklichkeits-Konzeptionen in Philosophie und Wissenschaften. Hrsg.: H.J. Sandkühler
