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Abstract
Wittgenstein’s pre-occupation with the notion of limit (of thought, sense, and language), was described by Alain Badiou as an aesthetic one. The limit is aesthetic because it is not an object to be theorized nor a concept, but rather, what has to be demonstrated, made to be seen, clearly displayed. In this paper, the conjunction between limits, as highlighted in Wittgenstein’s Tractatus, and the act of aesthetic demonstration is explored, both in the aesthetic tradition and in contemporary thought about art, in order to explain why the limit which is aesthetically set, cannot be crossed.