Zusammenfassung
Ihr volle wissenschaftstheoretisch-philosophische Tiefe erhält die Statistik erst mit der Betrachtung des allgemeinen Induktionsproblems. Man kann sie sogar als den am weitesten ausgearbeiteten theoretisch fundierten als auch praktisch erfolgreichen Versuch auffassen, jenes zu lösen. Die Formulierung von Tukey deutet bereits an, dass die Statistik nicht eine, sondern ein ganzes Spektrum spezieller Lösungen anbietet. Genauso wenig wie es den Stein der Weisen gibt, existiert ein Induktionsprinzip. Vielmehr gibt es eine ganze Reihe von Ansätzen und verschiedenartige Klassen von Argumenten um Verallgemeinerungen zu rechtfertigen.
Statistics is a broad field, whether or not you define it as ‘The science, the art, the philosophy, and the techniques of making inferences from the particular to the general.’
(Tukey 1961: 144)
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Saint-Mont, U. (2011). Induktion. In: Statistik im Forschungsprozess. Physica-Verlag HD. https://doi.org/10.1007/978-3-7908-2723-1_4
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