Comparison of dual orderings in time

Abstract

In the direction of recent researches on formalization in social sciences, several papers were devoted to analysing the dual interplay between cultural components (categories of words) and actual practices (welfare treatments, programs...). Hence, a first analysis of the description of relief treatments by words was already undertaken in a recent joint work to investigate their institutional logic, by making use of the abilities of Galois lattices to analyse the duality treatments × word categories. The aim of this note is to refine the analysis along three directions. First, to screen the source data with the basic tools of lattice analysis (orders on words, treatments, Galois lattice...). Then, to make use of extra tools for elaborating more synthetic views of the data source structures (basis of implications, canonical splits that express incompatibilities between words and treatments, and Galois lattice ungluing into regular intervals). The third direction completes these synchronic views by comparing the findings in 1888 and 1917, and addressing the question of what was either stable, or different between these two points in time.