Dictionary of Arguments

Philosophical and Scientific Issues in Dispute

[german]

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The author or concept searched is found in the following controversies.

Disputed term/author/ism	Author Vs Author	Entry	Reference
Bourbaki	Barrow Vs Bourbaki	Barrow I 63 BarrowVsBourbaki: the simplest conception of mathematics is the assumption that the world is really mathematical in some deep sense. The mathematical concepts exist and are discovered by mathematicians and not invented. The number pi, so to speak, is really hanging in the sky. For the mathematical realist the number seven exists as an intangible idea behind the seven mountains. Mathematical Platonism = realism!	B I John D. Barrow Warum die Welt mathematisch ist Frankfurt/M. 1996 B II John D. Barrow The World Within the World, Oxford/New York 1988 German Edition: Die Natur der Natur: Wissen an den Grenzen von Raum und Zeit Heidelberg 1993 B III John D. Barrow Impossibility. The Limits of Science and the Science of Limits, Oxford/New York 1998 German Edition: Die Entdeckung des Unmöglichen. Forschung an den Grenzen des Wissens Heidelberg 2001

The author or concept searched is found in the following disputes of scientific camps.

Disputed term/author/ism	Pro/Versus	Entry	Reference
Formalism	Versus	Barrow III 58 Bourbaki: per formalism: Math is what mathematicians produce - no discoveries but refinements - Vs: Finding of mathematical structures in nature - III 63 BarrowVsBourbaki: math. structures are discovered, not invented.	Link to abbreviations/authors