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What remains invariant? (English) Zbl 1184.00024

Summary: Several analogous mathematical constructs from different disciplines are brought together and analyzed within a philosophical framework proposed in general for the contents of a structural analogy. The analysis itself will hopefully be a guiding principle for a search for new phenomena in Nature in which the ‘meanings’ of missing analogues can be sought in different disconnected contexts. The concept of ‘structural invariance’ is proposed.

MSC:

00A79 Physics
00A30 Philosophy of mathematics
01A05 General histories, source books
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