iii. Consequences and Applications of the New Principles (sect. 85-156). In this portion of the Treatise, the New Principles, already guarded against objections, are applied to enlighten and invigorate final faith, often suffering from the paralysis of the scepticism produced by materialism; also to improve the sciences, including those which relate to Mind, in man and in God. They are applied:— 1. To the refutation of Scepticism as to the reality of the world (sect. 85-91) and God (sect. 92-96); 2. To the liberation of thought from the bondage of unmeaning abstractions (sect. 97-100); 3. To the purification of Natural Philosophy, by making it an interpretation of ideas of sense, simply in their relations of coexistence and sequence, according to which they constitute the Divine Language of Nature (sect. 101-116); 4. To simplify Mathematics, by eliminating infinites and other empty abstractions (sect. 117-134); 5. To explain and sustain faith in the Immortality of men (sect. 135-144); 6. To explain the belief which each man has in the existence of other men; as signified to him in and through sense-symbolism (sect. 145); 7. To vindicate faith in God, who is signified in and through the sense-symbolism of universal nature (sect. 146-156). It was only by degrees that Berkeley’s New Principles attracted attention. A new mode of conceiving the world we live in, by a young and unknown author, published at a distance from the centre of English intellectual life, was apt to be overlooked. In connexion with the _Essay on Vision_, however, it drew enough of regard to make Berkeley an object of interest to the literary world on his first visit to London, three years after its publication. Dedication TO THE RIGHT HONOURABLE THOMAS, EARL OF PEMBROKE(472), &c. KNIGHT OF THE MOST NOBLE ORDER OF THE GARTER, AND ONE OF THE LORDS OF HER MAJESTY’S MOST HONOURABLE PRIVY COUNCIL MY LORD,