the following abstract is quite good :Primates: cladistic diagnosis and relationships
... Euprimates, the group including living primates and their closest common ancestor, ... <snip> ... Plesiadapiformes, the group of archaic primates generally held to be the sister group to Euprimates, is not demonstrably monophyletic ... <snip> ... The Superorder Archonta (primates, tree shrews, bats, and colugos) is the only higher-level grouping including Euprimates that is based on uniquely derived morphological characters ... <snip> ... Because the higher-level affinities of Euprimates are not well resolved, we advocate equating the Order Primates with the taxon Euprimates.
so in essence what used to be counted as primates is made up of the currently living primates, and a diverse bunch that probably don't form a natural group
it does, however, the problem of what to do with the Plesiadapiformes, since under the new system they then become various basal Archonta
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