Coppock, Elizabeth2022-04-292022-04-292021-12-31E. Coppock. 2021. "Challenge Problems for a Theory of Degree Multiplication." https://journals.linguisticsociety.org/proceedings/index.php/SALT. Semantics and Linguistic Theory (SALT). Brown University, 2021-05-07 - 2021-05-09. https://doi.org/10.3765/salt.v31i0.5071https://hdl.handle.net/2144/44318This paper offers a theory of degree multiplication in natural language semantics. Motivation for the development such a theory comes from proportional readings of quantity words and rate expressions such as miles per hour. After laying out a set of ‘challenge problems’ that any good theory of degree multiplication should be able to handle, I set about solving them, borrowing mathematical tools from quantity calculus. These algebraic foundations are integrated into a compositional Montagovian framework, yielding a system that can solve, or partially solve, some of the problems.en-USCopyright (c) 2022 Elizabeth Coppock.Conference materials10.3765/salt.v31i0.5071713355