On p. 84 of his Enquiry..., Carey finally identifies himself as a particular Baptist:
"If there is any reason for me to hope that I shall have any influence upon any of my brethren, and fellow Christians, probably it may be more especially amongst them of my own denomination. I would therefore propose that such a society and committee should be formed amongst the particular baptist denomination."
He then acknowledges in the next paragraph that God can and will use other groups, non-Calvinists if you will, wishing for their participation in world missions with all of his heart:
"I do not mean by this, in any wise to confine it to one denomination of Christians. I wish with all my heart, that everyone who loves our Lord Jesus Christ in sincerity, would in some way or other engage in it. But in the present divided state of Christendom, it would be more likely for good to be done by each denomination engaging separately in the work, than if they were to embark in it conjointly. There is room enough for us all, without interfering with each other; and if no unfriendly interference took place, each denomination would bear good will to the other, and wish, and pray for its success, considering it as upon the whole friendly to the great cause of true religion."