Autor: Liddy, Richard M.: Transforming Light

Buch: Transforming Light

Titel: Transforming Light

Stichwort: Newman, Lonergan, Mathematik, Gewissheit

Kurzinhalt: Gewissheit -> Mathematik; Problem: Einzelnes - Allgemeines; Nominalismus, Induktion - Konzeptualismus, vis cogitativa, Erfassung des Allgemeinen im Einzelnen; Allgemeines - doch nicht abstrakt)

Textausschnitt: Lonergan's concern is the specific question of what in fact happens when we draw mathematical conclusions.
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Both axioms and inferences are 'intuited' in the concrete.
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The truth of the particular is not a consequence of the truth of the general; rather, the general is grasped in the particular.
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Newman says: 'There is a universal which is not abstract, and an abstract which is not universal.
FN: 'The question is whether a universal is merely formed by induction from particulars. A Nominalist must reply in the affirmative. Newman replies in the negative. In principle a universal can be formed from one particular.'