The 'Great Struggle' between Cantorians and Neo-Aristotelians: Much Ado about Nothing

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Abstract:

Starting from the generalized concept of syntactically and semantically trivial differences between two formal theories introduced by Arsenijević, we show that two systems of the linear continuum, the Cantorian point-based system and the Aristotelian interval-based system that satisfies Cantor's coherence condition, are only trivially different. So, the 'great struggle' (to use Cantor's phrase) between the two contending parties turns out to be 'much ado about nothing'.

Document Type: Research Article

Publication date: August 1, 2008

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