The first paper, entitled "Archaeology, its Past and its Future Work," was prepared as a lecture to the Society of Antiquaries of Scotland. This was done with a care and elaboration which are not always associated with such efforts; and, whether in indicating the object and end of the archaeological student's pursuits,--sketching the past progress of the study,--and specifying the lines of research from which Scottish inductive archaeology may be expected to derive additional data and facts,--nothing more thoroughly practical could be desired; while in his resume of the difficulties and enigmas peculiar to Scottish antiquities, he may be said to have left none of them untouched, his passing allusions being, in many instances, suggestive of their solution. The paper on "An old Stone-roofed Cell or Oratory in the Island of Inchcolm" affords an instance of the author's careful observation, and his fertility of illustration. The humble structure in question, which, at the time when it first attracted Sir James Simpson's notice, was used as a pig-stye, had few external features to suggest the necessity of farther inquiry; but after his eye had become accustomed to the architecture of the early monastic cells in Ireland, its real character flashed upon him, and he found that his conclusions coincided with the facts of the early history of the island. These he gleaned from many sources, but in grouping them into a picture he enriched his narrative with various instructive notes; as on the "Mos Scotticum" of our early buildings; a comparison of the ruin with the Irish oratories; notices of other Island Retreats of Saints, and of the Saints themselves. In one of these he gives an instructive reference to a passage in the original Latin text of Boece about the round tower of Brechin, which had been overlooked by his translator Bellenden, and so was now quoted for the first time. A copy of this paper on Inchcolm having been sent to his friend Dr. Petrie of Dublin, author of the well-known essay on the "Early Ecclesiastical Architecture and Round Towers of Ireland," it was returned after a time, enriched with many notes and illustrations. In now reprinting the paper these have been added, and are distinguished from the author's notes by having the letter P annexed to them. The subject of the Inchcolm oratory was one about which this great man felt much interest, and on which he could speak from the abundance of his knowledge and experience. The notes are therefore of special value, as furnishing the latest views of the author on mooted points of Celtic Ecclesiology, while they are conspicuous for the modesty and candour which were combined with Dr. Petrie's vast learning on the subject.