'Anglican at least means those who follow the formularies and are part of the Anglican Communion – or we are back at Humpty Dumpty defining a word to mean whatever he wants it to mean.'
These words in a comment by Bosco Peters here raise the very interesting question of who is an Anglican these days.
In my understanding there are at least three categories of people and churches to which they belong claiming to be Anglican.
(1) People belonging to chuches which are member churches of the Anglican Communion (most of which churches have the word 'Anglican' in their name, some of which have the word 'Episcopal', and one of which is simply 'the Church of England.'
(2) People belonging to churches which form the Anglican Church of North America (ACNA), a network which is not formally part of the Anglican Communion but which is a complicated entity inasmuch as (2.1) some churches which are part of the network are under the jurisdiction of bishops who are bishops of a member church of the Communion, and (2.2) Archbishop Bob Duncan, presiding bishop of the network, is routinely invited to meetings of Anglican bishops such as GAFCON and Global South conferences.
(3) People belonging to churches in one geographical area which are under the jurisdiction of bishops who are bishops of a member church of the Anglican Communion in another geographical area where that jurisdiction has not been approved by the member church of the Communion in the first geographical area. (Maori Anglicans in Australia are under the jurisdiction of Maori bishops of ACANZP but this is in an approved arrangement with the bishops of the Anglican Church of Australia; whereas members of the AMiA [recently firewalled off from ACNA, though still in some association with ACNA] in the USA are overseen by the Anglican Church of Rwanda in an arrangement not approved by TEC).
But there is also a fourth category of Anglican claimants to consider, namely those claiming to be Anglican (or, on closer inspection, may not claim to be Anglican!) who do not fit any of the three categories above. In mind here are (4.1) members of the Church of England in South Africa (CESA), a now long-standing offshoot of the Anglican Church of Southern Africa - I think, but am not certain, that members of CESA would describe themselves as Anglicans, (4.2) members of various other churches around the world which use the word 'Anglican' or 'Episcopal' or the phrase 'Church of England' in their name, and (4.3) members of the new Anglican Ordinariate in the Roman Catholic Church: what will they describe themselves as?!
A final note, referring back to the cited comment above: I do not think that considering the possibility that all in these four categories may appropriately claim to be Anglican takes us to Humpty-Dumpty or 'Anglican' meaning anything at all. None in these four categories would consider themselves to be Presbyterians. All would claim a common heritage or background or point of origin in the evolving, spreading life of the Church of England. However actual consideration of the possibility will be my concern in my next post or posts on the matter.
If there is a fifth, sixth, etc category, please let me know :)