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Workshop on Proof Theory, Modal Logic and Reflection Principles
October 17, 2017 16:40, Moscow, Steklov Mathematical Institute
 


Do we really need Ex Falso? A first reconnaissance

D. de Jongh
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MP4 275.7 Mb

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D. de Jongh


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Abstract: Intuitionistic mathematics has been critized for the use of the Ex Falso principle, directly, or indirectly by disapproval of any use of negation at all. Do we really need it? Not in Heyting Arithmetic, if we agree with interpreting $1=0$ as the falsum. We take some first steps looking around in other systems aided by some work by student Noor Heerkens.

Language: English

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