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Vine's Expository Dictionary of NT Words [1]

1: Ζήτησις (Strong'S #2214 — Noun Feminine — zetesis — dzay'-tay-sis )

denotes, firstly, "a seeking" (zeteo, "to seek"), then, "a debate, dispute, questioning,"  Acts 15:2,7 (some texts have suzetesis, "reasoning," in both verses), RV, "questioning," for AV, "disputation" and "disputing;" for   John 3:25;  Acts 25:20;  1—Timothy 1:4;  6:4;  2—Timothy 2:23;  Titus 3:9 , see Question , Questioning.

2: Διαλογισμός (Strong'S #1261 — Noun Masculine — dialogismos — dee-al-og-is-mos' )

is translated "disputations" in  Romans 14:1 . See below.

Charles Buck Theological Dictionary [2]

Religious, is the agitation of any religious question, in order to obtain clear and adequate ideas of it. The propriety of religious disputation or controversial divinity has been a matter of doubt with many. Some artfully decry it, in order to destroy free inquiry. Some hate it, because they do not like to be contradicted. Others declaim against it, to save themselves the disgrace of exposing their ignorance, or the labour of examining and defending their own theses. There are others who avoid it, not because they are convinced of the impropriety of the thing itself, but because of the evil temper with which it is generally conducted. The propriety of it, however, will appear, if we consider that every article of religion is denied by some, and cannot well be believed without examination, by any. Religion empowers us to investigate, debate, and controvert each article, in order to ascertain the evidence of its truth. The divine writings, many of them, are controversial; the book of Job, and Paul's epistles, especially. The ministry of our Lord was a perpetual controversy, and the apostles came at truth by much disputing,  Acts 15:7;  Acts 17:17;  Acts 19:8 . To attend, however, to religious controversy with advantage, the following rules should be observed;

1. the question should be cleared from all doubtful terms and needless additions.

2. The precise point of enquiry should be fixed.

3. That the object aimed at be truth, and not the mere love of victory.

4. Beware of a dogmatical spirit, and a supposition that you are always right.

5. Let a strict rein be kept on the passions when you are hard pushed. Vide Robinson's Claude, p. 245, vol. ii; Watts on the Mind, chap. 10; Beattie on Truth, 347, &c; Locke on the Understanding, chap. 10. vol. 3:

Webster's Dictionary [3]

(1): ( v. i.) The act of disputing; a reasoning or argumentation in opposition to something, or on opposite sides; controversy in words; verbal contest respecting the truth of some fact, opinion, proposition, or argument.

(2): ( v. i.) A rhetorical exercise in which parties reason in opposition to each other on some question proposed.

King James Dictionary [4]

Disputation n. L.

1. The act of disputing a reasoning or argumentation in opposition to something, or on opposite sides controversy in words verbal contest, respecting the truth of some fact, opinion, proposition or argument. 2. An exercise in colleges, in which parties reason in opposition to each other, on some question proposed.

International Standard Bible Encyclopedia [5]

dis pū̇ tā´shun  Acts 15:2 suzḗtēsis  Romans 14:1 diakrı́seis dialogismō̇n