Résumé : Par des suites de choix, nous comprenons des suites qui ne sont pas déterminées complètement par une loi arithmétique. Elles sont des objets caractéristiques de l'intuitionnisme de Brouwer. Nous prétendons qu'à partir de 1927, l'utilisation par Brouwer de suites de choix particulières n'est pas reconnu comme tel. Nous prétendons que l'utilisation de ces suites dans la méthode du sujet créatif, après la seconde guerre mondiale, n'a pas à être mis en relation avec l'utilisation de celles-ci dans les années vingt et qu'elles sont mal interprétées. Nous montrons où se trouvent ces suites de choix dans l'oeuvre de Brouwer et comment elles doivent être traitées.Abstract: Choice sequences are sequences not completely determined by an algorithmic law. We maintain that the introduction of particular choice sequences by Brouwer in the late twenties was not recognised as such. We claim that their later use in the method of the creative subject was not traced back to this original usage and has been misinterpreted. We show where these particular choice sequences appear in the work of Brouwer and we show how they should be handled.
Abstract. Brouwer's papers after 1945 are characterized by a technique, known as the method of the creating subject. It has been supposed that the method was radically new in his work, since Brouwer seems to introduce an idealized mathematician into his mathematical practice. A newly opened source, the unpublished text of a lecture of Brouwer from 1934, fully supports the conclusions of our analysis that: -There is no idealized mathematician involved in the method.-The method was not new at all.-Brouwer uses an incomplete sequence, also known as choice sequence, in this method, which is special. The method does not take its place in the standard works on choice sequences.
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