1 Corinthians 10:29 - Ellicott's Commentary On The Whole Bible

Conscience, I say, not thine own, but of the other. — In the previous verse there is nothing to indicate that the obligation not to eat the meat under such circumstances arises from a consideration of the tenderness of the other’s conscience. Here any danger of mistake as to whose conscience is meant is removed. Of course (says St. Paul) I mean his conscience, not yours. For no other man’s scruples are to bind my conscience. While the opinion or weakness of another is never to make my conscience waver from what it knows to be true, it may often be a reason for our sacrificing in act some personal indulgence.