Many cognitive processes rely on representations of magnitude, yet these representations are often malleable (H. Helson, 1964; J. Huttenlocher, L. V. Hedges, & J. L. Vevea, 2000; A. Parducci, 1965). It is likely that factors that affect these representations in turn affect the psychological processes that rely on them. The authors conducted 4 experiments to investigate whether language-expressi...

In this paper we introduce the persistent magnitude, a new numerical invariant of (sufficiently nice) graded persistence modules. It is weighted and signed count bars module, in which bar form [a,b) degree d counted with weight (e−a−e−b) sign (−1)d. Persistent magnitude has good formal properties, such as additivity respect to exact sequences compatibility tensor products, interpretations terms...