5,593 research outputs found

    Canonical truth

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    We introduce and study some variants of a notion of canonical set theoretical truth. By this, we mean truth in a transitive proper class model M of ZFC that is uniquely characterized by some ∈-formula. We show that there are interesting statements that hold in all such models, but do not follow from ZFC, such as the ground model axiom and the nonexistence of measurable cardinals. We also study a related concept in which we only require M to be fixed up to elementary equivalence. We show that this theory-canonicity also goes beyond provability in ZFC, but it does not rule out measurable cardinals and it does not fix the size of the continuum

    Genesis Breyer P-Orridge : Sacred Intent : Conversations with Carl Abrahamsson 1986–2019

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    "Three decades of conversations with Genesis Breyer P-Orridge, provocateur, artist, gender revolutionary and leader of the bands Throbbing Gristle, Psychic TV and more Published for legendary artist and musician Genesis Breyer P-Orridge’s 70th birthday in 2020, Sacred Intent gathers conversations between Breyer P-Orridge and his friend and collaborator, the Swedish author Carl Abrahamsson. From the first 1986 fanzine-based interview about current projects, philosophical insights, magical workings, international travels, art theory and gender revolutions, to 2019’s thoughts on life and death in the the shadow of battling leukaemia, Sacred Intent is a unique journey in which the art of conversation blooms to the highest degree." -- Distributor's website

    Letter from Herbert Babbitt to Carl Hayden

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    Letter from Herbert Babbitt to Carl T. Hayden about grazing cattle in the park boundaries

    Letter from Bernie Zachau to Carl Hayden

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    Letter from Bernie Zachau to Carl Hayden regarding water power in the Grand Canyon

    Letter from Carl Hayden to Harold Greene

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    Letter from Carl Hayden to Harold Greene regarding the progress of the national park bill

    Letter from Arthur Ringland to Carl Hayden

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    Letter from Arthur Ringland to Carl Hayden about road alignment survey through the Buggeln ranch

    On the value group of a model of Peano Arithmetic

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    We investigate IPA-real closed fields, that is, real closed fields which admit an integer part whose non-negative cone is a model of Peano arithmetic. We show that the value group of an IPA-real closed field is an exponential group in the residue field, and that the converse fails in general. As an application, we classify (up to isomorphism) value groups of countable recursively saturated exponential real closed fields. We exploit this characterization to construct countable exponential real closed fields which are not IPA-real closed fields

    Letter from Ed Hamilton to Carl Hayden

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    Letter from Ed Hamilton to Carl Hayden requesting maintenance for the road between Grand Canyon Village and Rowe's Well

    Letter from Alf Dickinson to Carl Hayden

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    Letter from Alf Dickenson to Carl T. Hayden about securing mining permits within the park

    Letter from Carl Hayden to Bernie Zachau

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    Letter from Carl Hayden to Bernie Zachau regarding the national park bill with an enclosed copy of the National Park Service Act
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