Thinking about the notion of function in logic in the twentieth century (1900-1950)
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Abstract
Do the understanding of a notion and the ability to define it necessarily suppose to grasp the nature of the object that this notion designates? Some concepts fail to be defined for themselves, and some objects also fail to be understood without a context. If we consider a notion denoting an object usually understood for what it does more than for what it is, these difficulties both converge. Such a notion will occupy us in this article: the notion of function in logic in the 20th century. By setting a link between the works of Frege, Schönfinkel and Church, I indentify some ways that show a possible manner to define the notion of function.
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Original in French.
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