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Seminar XXIV Final Sessions 1 - Lacan in Ireland

Seminar XXIV Final Sessions 1 - Lacan in Ireland

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You see that here I cut doubly through the green l<strong>in</strong>e, I cut the torus. If wejo<strong>in</strong> these two cuts with the help of a stretched plane, we get a Moebiusstrip. That <strong>in</strong>deed is why that is here (1) and on the other hand what is here(2) constitutes a double Moebius strip. I say double, what does that mean?That means a Moebius strip which is redoubled; and a Moebius strip whichis redoubled has as property – as I already showed you the last time – has asproperty, not of be<strong>in</strong>g two Moebius strips, but be<strong>in</strong>g a s<strong>in</strong>gle Moebius stripwhich looks like this, - let us try to do better – which looks <strong>in</strong> this way likethe result of the double cut of the torus. [double Moebius strip andMoebius strip]The question is the follow<strong>in</strong>g: is this double Moebius strip <strong>in</strong> this shape orthat one. In other words, does it go – I am speak<strong>in</strong>g about one of the loops –does it pass <strong>in</strong> front of the follow<strong>in</strong>g loop, or does it pass beh<strong>in</strong>d? It issometh<strong>in</strong>g which is obviously not unimportant from the moment that we26

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