NON-WESTERN COLLECTIONS

Non-Western Logic

It is believed in the West that logic began with Aristotle, and that logic is universal. The core of Western thought—including present-day formal mathematics and the philosophy of science—is premised on the belief that logical truths are universal, that they are necessary truths, and that logical deduction is certain and infallible. These beliefs about logic however are untenable, both historic...

the development of islamic collections in western europe and north america

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Dense non-reflection for stationary collections of countable sets

We present several forcing posets for adding a non-reflecting stationary subset of Pω1 (λ), where λ ≥ ω2. We prove that PFA is consistent with dense non-reflection in Pω1 (λ), which means that every stationary subset of Pω1 (λ) contains a stationary subset which does not reflect to any set of size א1. If λ is singular with countable cofinality, then dense non-reflection in Pω1 (λ) follows from ...

DivergentSet: picking non-redundant sequences from large sequence collections

Graph rigidity reveals non-deformable collections of chromosome conformation constraints

Motivation: The physical structure of chromatin is associated with a variety of biological phenomena including long-range regulation, chromosome rearrangements, and somatic copy number alterations. Chromosome conformation capture is a recent experimental technique that results in pairwise proximity measurements between chromosome locations in a genome. This information can be used to construct ...