 Most discussions of the Lockean thesis have in mind the strong thesis. More recent work, especially Leitgeb (2017), adopts the weaker thesis. The strong thesis leaves the correct threshold unspecified. Of course, for every \(s\in(\frac{1}{2},1)\) we can formulate a specific thesis \(\text{SLT}^s\) in virtue of which the strong thesis is true. For example, \(\text{SLT}^{.51}\) is a very permissive version of the thesis, whereas \(\text{SLT}^{.95}\) and \(\text{SLT}^{.99}\) are more stringent. It is also possible to further specify the weak thesis. For example, Leitgeb (2017) believes that the contextually-determined threshold should be equal to the degree of belief assigned to the strongest proposition that is fully believed. In light of deductive cogency, that corresponds to the orthographically ungainly \(\text{WLT}^{\Pr(\cap \Bel)}\).