Of a totally different orientation from_the_"Old_Formalist_School"_of_Richard_Dedekind">Dedekind,__ Julius_Wilhelm_Richard_Dedekind__(6_October_1831_–_12_February_1916)_was_a_German_mathematician_who_made_important_contributions_to_number_theory,_abstract_algebra_(particularly_ring_theory),_and the__axiomatic_foundations_of_arithmetic._His__... from_the_"Old_Formalist_School"_of_Richard_Dedekind">Dedekind,_Georg_Cantor">Cantor_ Julius_Wilhelm_Richard_Dedekind__(6_October_1831_–_12_February_1916)_was_a_German_mathematician_who_made_important_contributions_to_number_theory,_abstract_algebra_(particularly_ring_theory),_and the__axiomatic_foundations_of_arithmetic._His__... _ A_cantor_or_chanter_is_a_person_who_leads_people_in_singing_or_sometimes_in_prayer._In_formal_Jewish_worship,_a_cantor_is_a_person_who_sings_solo_verses_or_passages_to_which_the_choir_or_congregation_responds. In_Judaism,_a_cantor_sings_and_lead_...
The introduction of natural numbers
The pre-intuitionists, as defined byThe principle of complete induction
This sense of definition allowed Poincaré to argue withArguments over the excluded middle
It was for this assertion, among others, that Poincaré was considered to be similar to the intuitionists. ForOther pre-intuitionists
The above examples only include the works of Poincaré, and yetSee also
*Notes
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