Equivocation
is classified as both a formal and informal logical** fallacy**.
It is the misleading use of a term with more than one meaning or sense (
by glossing over which meaning is intended at a particular time).
So at the “particular time” that the Bible was written; what was the meaning of the word “church”?
**The term Church in Greek εκκλησια, occurs for the first time in Matthew 16:18. The word simply means an assembly or congregation, the nature of which is to be understood from connecting circumstances; for the word εκκλησια, as well as the terms congregation and assembly, may be applied to any concourse of people, good or bad; gathered together for lawful or unlawful purposes. **
Hence, it is used, Acts 19:32, for the mob, or confused rabble, gathered together against Paul, εκκλησια συγκεχυμενη, which the town-clerk distinguished, Acts 19:39, from a lawful assembly, εννομω εκκλεσια.
**The Greek word εκκλησια seems to be derived from εκκαλεω, to call out of, or from, i.e. an assembly gathered out of a multitude; and must have some other word joined to it, to determine its nature: viz. the Church of God; the congregation collected by God, and devoted to his service. **
The Church of Christ: the whole company of Christians wheresoever found; because, by the preaching of the Gospel, they are called out of the spirit and maxims of the world, to live according to the precepts of the Christian religion. This is sometimes called the Catholic or universal Church, because constituted of all the professors of Christianity in the world, to whatever sects or parties they may belong: and hence the absurdity of applying the term Catholic, which signifies universal, to that very small portion of it, the Church of Rome.
In primitive times, before Christians had any stated buildings, they worshipped in private houses; the people that had been converted to God meeting together in some one dwelling-house of a fellow-convert, more convenient and capacious than the rest; hence the Church that was in the house of Aquila and Priscilla, Romans 16:3, Romans 16:5, and 1 Corinthians 16:19, and the Church that was in the house of Nymphas, Colossians 4:15.
Now, as these houses were dedicated to the worship of God, each was termed κυριου οικος kuriou oikos, the house of the Lord; which word, in process of time, became contracted into κυριοικ kurioik, and κυριακη, kuriake; and hence the kirk of our northern neighbors, and kirik of our Saxon ancestors, from which, by corruption, changing the hard Saxon c into ch, we have made the word church. This term, though it be generally used to signify the people worshipping in a particular place, yet by a metonymy, the container being put for the contained, we apply it, as it was originally, to the building which contains the worshipping people.
In the proper use of this word there can be no such thing as The church, exclusively; there may be A church, and the Churches, signifying a particular congregation, or the different assemblies of religious people: and hence, the Church of Rome, by applying it exclusively to itself, abuses the term.*
bible.cc/matthew/16-28.htm