Mathematical evidence not a mere perception of identity Distinction between Pure and Applied Mathematics LOGIC. CHAPTER I. PSYCHOLOGICAL INTRODUCTION. Intuitions distinguished from Concepts. - Mental Characteristics of Brutes. Relations of Thought to Language. THE HE beginning of all knowledge is in single acts of the Perceptive or Acquisitive faculty, each of which relates immediately to an individual object or event. Such acts are called Intuitions or Presentations; the former is the more generally received appellation. Each Intuition gives us a knowledge of its object so far only as this object is perceived now and here, and also as it is one, or undivided, though not necessarily indivisible. To recognize, or know over again, the object as similar to another thing perceived on a former occasion or in a different place, or to analyze it into its parts or attributes, or to refer it to a class of things previously known, and thereby to give it a common name, requires the aid of a different and higher power of the mind. In receiving Intuitions, the mind exerts no conscious activity whatever; it is passively receptive of any impressions that may be made upon it, and does not in any way consciously react upon or modify those impressions. It is like a mirror reflecting the objects that are held up before it, perhaps giving distorted or unfaithful images of them on account of the imperfections of its own surface, but hav |