on smaller number of concepts are more likely to spread. The second term corresponds to the evaluation of the likelihood of the knowledge-like function of individual $j$ on the experiences experienced by individual $i$. Note that for all $e$, $L(e, 0) = \frac{1}{2}$ (corresponding to cases where individual $j$ has not experienced $e$), which decreases individual’s credibility. This means that an individual $i$ considers an individual $j$ less credible if $j$ has not experienced an experience individual $i$ has gone through.

Finally, the constant $c_{\min}$ corresponds to the minimal credibility: if $c_{\min}>0$, individuals with low credibility can still influence other individuals.

If the set $\mathcal E$ contains a finite number of elements the credibility formula reduces to $$\Tilde{c}_{ij} = \frac{1}{1 + \mathds{1}_{\{i\neq j\}}\int_{c \in k_j(X)}\, \mathrm{d}c}\prod_{e \in E}\mathds{1}_{k_i(e)\neq0} L(e,k_j(e)),$$ namely, the second part of the formula is similar to a measure of likelihood in probability theory [@le_gall_2006]. In this formula, associating few experiences with unlikely concepts penalizes credibility a lot.

#### Application to the round *vs.* flat earth example.

Let $\mathcal{E} = \{f_1, f_2, f_3, r_1, r_2\}$ and $\mathcal{C} = \{0,F,R\}$, together with $c_{\min} := 0$. For any $i\in\{1,2,3\}, f_i$ are experiences where the Earth as likely to be flat 