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標題: Titlebook: Gnomes in the Fog; The Reception of Bro Dennis E. Hesseling Book 2003 Springer Basel AG 2003 Brouwer.Mathematical Intuitionism.Metaphor.eXi [打印本頁]

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Measuring Recognition Vocabulary Sizen that several mathematicians protested, who, by so doing, held views more or less similar to the ones Brouwer was to take later on. This chapter is about these mathematicians. In chronological order, they are: Kronecker, the French semi-intuitionists Borel, Baire and Lebesgue, and Poincaré.
作者: Crater    時間: 2025-3-22 09:39
,Kronecker, the semi-intuitionists, Poincaré,n that several mathematicians protested, who, by so doing, held views more or less similar to the ones Brouwer was to take later on. This chapter is about these mathematicians. In chronological order, they are: Kronecker, the French semi-intuitionists Borel, Baire and Lebesgue, and Poincaré.
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Book 2003and philosophers. A period in the history of mathematics when mathematics and philosophy, usually so far away from each other, seemed to meet. The foundational debate is presented with all its brilliant contributions and its shortcomings, its new ideas and its misunderstandings..
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,The genesis of Brouwer’s intuitionism,writings around the turn of the century. I stop roughly in 1933, since I also treat the foundational debate up until that year.. As a rule, I follow Brouwer’s original descriptions; only occasionally I felt it necessary to provide modern explanations.
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Reactions: logic and the excluded middle,an, therefore Socrates is mortal. Others are not formalised in strict rules and rely on ‘good understanding’. Mathematicians usually agree on what they consider legitimate arguments in a mathematical proof. But is this sufficient? Does this mean that the argumentations mathematicians have employed f
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Alfred Iwainsky,Wolfgang Wilhelmi extension and other characteristics of the foundational crisis, we have to look at four factors. There has to be a group of influential mathematicians who (1) reflect on the mathematical process, (2) express doubts concerning the validity of certain methods or results, and (3) request changes in th
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Lexikon Baufinanzierung von A bis Zan, therefore Socrates is mortal. Others are not formalised in strict rules and rely on ‘good understanding’. Mathematicians usually agree on what they consider legitimate arguments in a mathematical proof. But is this sufficient? Does this mean that the argumentations mathematicians have employed f
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作者: 迅速成長    時間: 2025-3-24 23:51
Alfred Iwainsky,Wolfgang Wilhelmit on, the debate on the foundations of mathematics became more emotional and polemical, as seen among other things in the use of metaphors.. Therefore, I have taken the reactions to Brouwer’s intuitionism as a main indicator of the course of the foundational debate. The overview of the foundational
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https://doi.org/10.1007/978-3-0348-7989-7Brouwer; Mathematical Intuitionism; Metaphor; eXist; form; history of mathematics; logic; mathematics; philo
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Lexikon Baufinanzierung von A bis Zan, therefore Socrates is mortal. Others are not formalised in strict rules and rely on ‘good understanding’. Mathematicians usually agree on what they consider legitimate arguments in a mathematical proof. But is this sufficient? Does this mean that the argumentations mathematicians have employed for centuries are correct?
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,The genesis of Brouwer’s intuitionism,writings around the turn of the century. I stop roughly in 1933, since I also treat the foundational debate up until that year.. As a rule, I follow Brouwer’s original descriptions; only occasionally I felt it necessary to provide modern explanations.
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Dennis E. HesselingReveals a feature of mathematics that is often forgotten or neglected.Shows historical roots of one of the important current philosophies of mathematics
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https://doi.org/10.1007/978-3-658-05879-1nd. Dazu geh?ren im wesentlichen folgende Gruppen: Bakterien, Aktinomyzeten, Pilze, Algen, Protozoen und bedingt auch die Viren, die jedoch keine echten Lebewesen darstellen. Au?er der geringen Gr??e (Tabelle 1) weisen die Mikroorganismen weitere gemeinsame Merkmale auf, durch die sie sich von den h?heren Lebewesen unterscheiden.




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