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« Bea Wain, "You Go to My Head" | Main | The New York School Diaspora (Part Fifty-Four): Kevin Thomason [by Angela Ball] »

June 27, 2023

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You continue to amaze.

Great stuff!!!

I find it illuminating to know something about Zorn's Lemma. The primary relationship to the film is that Zorn based it on partial orders. That's what Frampton explores, these tree-like structures. Zorn's Lemma states that if every rising branch of a tree is bounded (lies entirely under some arbitrary height), then the entire tree is bounded. That sounds quite reasonable, even in the context of infinite trees. However, it can't be proved or falsified starting with the axioms of set theory. There are a lot of statements that are in this category, most famously the axiom of choice. The axiom of choice says that if you have an infinite collection of sets, you can form a new set by picking one item from each of the sets. It turns out that most of these statements that can't be proved or falsified are equivalent to the axiom of choice, including Zorn's Lemma.

This is what Frampton meditated on, creating metaphors for the mathematical structures. He faced the challenge of depicting infinite sets. His solutions to this are probably what people find most poetic about this transcendent film.

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That Ship Has Sailed
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"Lively and affectionate" Publishers Weekly

Radio

I left it
on when I
left the house
for the pleasure
of coming back
ten hours later
to the greatness
of Teddy Wilson
"After You've Gone"
on the piano
in the corner
of the bedroom
as I enter
in the dark


from New and Selected Poems by David Lehman

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