In this talk, I will present the notion of Scales, which was introduced to generalize the usual notions of dimension in order to describe spaces exhibiting different growth behaviors, enabling, in particular, a refined study of infinite-dimensional spaces. Several versions of scales will be introduced, including Hausdorff, packing, box, local, and quantization scales. We will establish general theorems comparing them and apply these results to characterize the largeness of ergodic decompositions and functional spaces, as well as to analyze the behavior of the Wiener measure. Additionally, we will explore toy examples demonstrating the existence of spaces of arbitrary size in this precise context.