90 citations · 152 across the 14 of their papers we have counts for
15 papers
Document Understanding, Measurement, and Manipulation Using Category Theory
Jared Claypoole, Yunye Gong, Noson S. Yanofsky +1
We apply category theory to extract multimodal document structure which leads us to develop information theoretic measures, content summarization and extension, and self-supervised…
Theoretical Computer Science for the Working Category Theorist
Noson S. Yanofsky
Theoretical computer science discusses foundational issues about computations. It asks and answers questions such as "What is a computation?", "What is computable?", "What is effic…
Computability and Complexity of Categorical Structures
Noson S. Yanofsky
We examine various categorical structures that can and cannot be constructed. We show that total computable functions can be mimicked by constructible functors. More generally, wha…
Why Mathematics Works So Well
Noson S. Yanofsky
A major question in philosophy of science involves the unreasonable effectiveness of mathematics in physics. Why should mathematics, created or discovered, with nothing empirical i…
The Role of Symmetry in Mathematics
Noson S. Yanofsky, Mark Zelcer
Over the past few decades the notion of symmetry has played a major role in physics and in the philosophy of physics. Philosophers have used symmetry to discuss the ontology and se…
Mathematics via Symmetry
Noson S. Yanofsky, Mark Zelcer
We state the defining characteristic of mathematics as a type of symmetry where one can change the connotation of a mathematical statement in a certain way when the statement's tru…