I remember my mother saying that the koala was related to wombats and that the giant panda was a type of bear, due to their appearance. At the time, the koala was placed in the Family Phalangeridae and the giant panda was placed in the family Procyonidae, but my mother was right and I was wrong. I think this conversation is really a matter of opinion and I can't prove which platyrrhine is most closely related to apes. All I can do is to use a mixture of knowledge and logic.
1. I agree with you in thinking that Nikola meant the most closely related 'extant' taxon, but this was not stated and the websites I looked at suggested that marmosets and tamarins are probably the most primitive extant platyrrhines. Several taxonomists include marmosets, tamarins, capuchins and squirrel monkeys within the Family Cebidae, but platyrrhine taxonomy is very confused.
2. I'm sorry if I've confused you. I meant that Perupithecus was the first platyrrhine monkey to diverge from the common ancestor of platyrrhines and catarrhines.
3. We're agreed on this one.
4. Please can you indicate the origin of your statement "all extant members of a clade are equally related to their last common ancestor, so all platyrrhines are equally related to all catarrhines". I suppose it may depend on which type of cladism you believe in. The clades I've seen show varying degrees of divergence from a common ancestor and strongly imply that the animals that diverge first are more closely related to the common ancestor. This seems to be one of the reasons why cladism is a useful too in taxonomy.
I don't think we're going to agree on this one. I was trying to help Nikola without going out on a complete tangent. In 1920, François de Loys claimed that a large South American primate was a kind of ape, but the photo is so obviously a spider monkey, it is difficult to understand how many people were misled.
Without meaning to sound bullish, this is a question of fact rather than a difference of opinion. What I'm saying is counterintuitive, and you're far from the first to make the mistake, but it's basic phylogenetic taxonomy that "all extant members of a clade are equally related to their last common ancestor, so all platyrrhines are equally related to all catarrhines". There are exceptions to this rule, but they're not relevant to this discussion.
This article saves me time and provides a simple example:
Phylogenetic Trees and Monophyletic Groups | Learn Science at Scitable. Skip to the section "How to Read an Evolutionary Tree" and, for present purposes, imagine A represents the catarrhines and B, C, and D are your pick of platyrrhines (depending on what evolutionary relationship you choose). The second paragraph basically says this, but to reiterate: A can branch all it likes, but everything that branched off A will still be equally closely related to everything in the BCD clade, provided we only look at extant species. Likewise, however early B diverged, it will still be equally closely related to A as C and D are, even though C and D are more closely related to each other than they are to B. So whilst B may be more basal and C and D may be more derived, that's irrelevant in the context of their relationship to A.
Moving onto the callitrichids, as TLD says, they arguably belong to the most recent family. And, although significant controversy surrounds platyrrhine relationships (reviewed by Perez & Rosenberger 2014*), it's rare to see them at the base. However, it doesn't matter whether they were the first or last to diverge, because they would still be equally related to the catarrhines.
As for
Perupithecus, your meaning didn't confuse me, but your interpretation is wrong. Aside from the fact that there never was a monkey common ancestor (at least, not one that excluded apes),
Perupithecus wasn't a platyrrhine common ancestor. It represents the earliest fossil platyrrhine, but the fossil record is incomplete. To put that another way, the platyrrhine founder is unlikely to have lived in Peru!
*Perez, S. I., & Rosenberger, A. L. (2014). The status of platyrrhine phylogeny: A meta-analysis and quantitative appraisal of topological hypotheses.
Journal of human evolution, 76, 177-187. [
https://www.researchgate.net/profil...ypotheses/links/553593750cf20ea35f10daeb.pdf]