 From quantitative to qualitative probability While the preceding line of research aims at recovering quantitative probability from qualitative notions, a converse project shows how ubiquitous qualitative patterns might arise naturally within a quantitative probabilistic setting. Building on what is sometimes dubbed the Lockean Thesis, threshold approaches connect probability to logic by stipulating that some \(\varphi\) is to be believed simpliciter if the probability of \(\varphi\) is above some appropriate numerical threshold t. For most choices of threshold t, such translations do not square well with standard logical desiderata, as beliefs will in general not be closed under conjunction. However, in recent work Leitgeb (2017) and Lin and Kelly (2012) have identified conditions under which one can do better. Building on ideas of Skyrms (1977), Leitgeb identifies strong, context-dependent ‘robustness conditions’ on thresholds that guarantee the defined belief operator to satisfy the KD45 axioms after all. Lin and Kelly, on the other hand, work with non-uniform thresholds for transitioning between logical and probabilistic notions of belief, allowing to derive coherence between different forms of belief dynamics on the two sides. For a recent study of the mathematical foundations and limits of these approaches, as well as the conditional logics they generate see Mierzewski (2020).