The 'great struggle' between Cantorians and neo-aristotelians: Much ado about nothing

Grazer Philosophische Studien 76 (1):79-90 (2008)
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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'.

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Citations of this work

A Mereology for the Change of Parts.Pierdaniele Giaretta & Giuseppe Spolaore - 2011 - In Majda Trobok, Nenad Miščević & Berislav Žarnić, Between Logic and Reality: Modeling Inference, Action and Understanding. Dordrecht and New York: Springer. pp. 243--259.
Towards a Formal Account of Identity Criteria.Massimiliano Carrara & Silvia Gaio - 2011 - In Majda Trobok, Nenad Miščević & Berislav Žarnić, Between Logic and Reality: Modeling Inference, Action and Understanding. Dordrecht and New York: Springer. pp. 227--242.
Dynamic logic of propositional commitments.Tomoyuki Yamada - 2011 - In Majda Trobok, Nenad Miščević & Berislav Žarnić, Between Logic and Reality: Modeling Inference, Action and Understanding. Dordrecht and New York: Springer. pp. 183--200.
Logical Consequence and Rationality.Nenad Smokrović - 2011 - In Majda Trobok, Nenad Miščević & Berislav Žarnić, Between Logic and Reality: Modeling Inference, Action and Understanding. Dordrecht and New York: Springer. pp. 121--133.
Informal Logic and Informal Consequence.Danilo Suster - 2011 - In Majda Trobok, Nenad Miščević & Berislav Žarnić, Between Logic and Reality: Modeling Inference, Action and Understanding. Dordrecht and New York: Springer. pp. 101--120.

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