is fully aware of its many defects. It is necessary, in the first place, to indicate precisely the extent of the subject with which we propose to deal; and with this end in view to give a definition of the three words, '_mediæval, economic, teaching_.' SECTION 2.--EXPLANATION OF THE TITLE § 1. _Mediæval_. Ingram, in his well-known book on economic history, following the opinion of Comte, refuses to consider the fourteenth and fifteenth centuries as part of the Middle Ages.[1] We intend, however, to treat of economic teaching up to the end of the fifteenth century. The best modern judges are agreed that the term Middle Ages must not be given a hard-and-fast meaning, but that it is capable of bearing a very elastic interpretation. The definition given in the _Catholic Encyclopædia_ is: 'a term commonly used to designate that period of European history between the Fall of the Roman Empire and about the middle of the fifteenth century. The precise dates of the beginning, culmination, and end of the Middle Ages are more or less arbitrarily assumed according to the point of view adopted.' The eleventh edition of the _Encyclopædia Britannica_ contains a similar opinion: 'This name is commonly given to that period of European history which lies between what are known as ancient and modern times, and which has generally been considered as extending from about the middle of the fifth to about the middle of the fifteenth centuries. The two dates adopted in old text-books were 476 and 1453, from the setting aside of the last emperor of the west until the fall of Constantinople. In reality it is impossible to fix any exact dates for the opening and close of such a period.' [Footnote 1: _History of Political Economy_, p. 35.]