3 papers
math.LO2024
-correct Forcing Axioms
Ben Goodman
I introduce a new family of axioms extending ZFC set theory, the -correct forcing axioms. These assert roughly that whenever a forcing name can be forced by a poset…
cs.CL2017
Stability and Fluctuations in a Simple Model of Phonetic Category Change
Benjamin Goodman, Paul Tupper
In spoken languages, speakers divide up the space of phonetic possibilities into different regions, corresponding to different phonemes. We consider a simple exemplar model of how…
cs.CL2017
Effects of Limiting Memory Capacity on the Behaviour of Exemplar Dynamics
B. Goodman, P. F. Tupper
Exemplar models are a popular class of models used to describe language change. Here we study how limiting the memory capacity of an individual in these models affects the system's…