 BonJour’s account also raises another general issue. The third criterion stipulates that the degree of coherence increases with the number of inferential connections between different parts of the system. Now as a system grows larger the probability that there will be relatively many inferentially connected beliefs is increased simply because there are more possible connections to be made. Hence, one could expect there to be a positive correlation between the size of a system and the number of inferential connection between the beliefs contained in the system. BonJour’s third criterion, taken at face value, entails therefore that a bigger system will generally have a higher degree of coherence due to its sheer size. But this is at least not obviously correct. A possible modified coherence criterion could state that what is correlated with higher coherence is not the number of inferential connections but rather the inferential density of the system, where the latter is obtained by dividing the number of inferential connections by the number of beliefs in the system.