secret-conviction

Within himself Jack had not the slightest doubt of victory, but it would never do to let this conviction take the form of even unspoken words; it must remain in the state of that inward glow which had inhabited him ever since the retaking of the Africaine, and which had now increased to fill the whole of his heart - a glow that he believed to be his most private secret, although in fact it was evident to everyone aboard from Stephen Maturin to the adenoidal third-class boy who closed the muster-book.