Some Quotes Exemplifying the Rationalist and Empiricist Positions *

      Here are some quotes that highlight the rationalist and empiricist views of the human mind. Leibniz and Boole illustrate the rationalist position where the mind is regarded as an entity that, like a mathematical system, follows rules that are unique to itself and in a sense independent of the external world. Locke and Hume, speaking from the empiricist position, do not see the mind as independent, but as derivative from the world of experience.

     During the first half of the 20th century, the empiricist position dominated the thinking and research on human reasoning in the United States. During the second half of the century, the argument against this position intensified and the rationalist position has achieved increasing dominance. Much of the impetus for the rationalist position has arisen from the mathematics associated with defining and studying computation as well as from the experience of using computation in everyday life.

(*The quotes below provide only glimpse of these individuals thoughts and works. Where possible I have provided a link to an online version of the original text or to a related writing in case you wish to pursue their ideas further. )


  Gottfried Wilhelm von Leibniz (1646-1716), On reasoning. 1677

      "All our reasoning is nothing but the joining and substituting of characters, whether these characters be words or symbols or pictures, ... if we could find characters or signs appropriate for expressing all our thoughts as definitely and as exactly as arithmetic expresses numbers or geometric analysis expresses lines, we could in all subjects in so far as they are amenable to reasoning accomplish what is done in Arithmetic and Geometry.

     For all inquiries which depend on reasoning would be performed by the transposition of characters and by a kind of calculus, which would immediately facilitate the discovery of beautiful results ..."

 George Boole (1815 - 1864), An Investigation of the Laws of Thought on which are Founded the Mathematical Theories of Logic and Probabilities (London, 1854);

 "Nature and Design of this Work

The design of the following treatise is to investigate the fundamental laws of those operations of the mind by which reasoning is performed; to give expression to them in the symbolical language of a Calculus, and upon this foundation to establish the science of Logic and construct its method; to make that method itself the basis of a general method for the application of the mathematical doctrine of Probabilities; and, finally, to collect from the various elements of truth brought to view in the course of these inquiries some probable intimations concerning the nature and constitution of the human mind."

The Calculus of Logic by George Boole, first published in The Cambridge and Dublin Mathematical Journal, vol. 3 (1848)
 John Locke (1632-1704) on Empiricism from Essay concerning human understanding (1690):
 "2. All ideas come from sensation or reflection. Let us then suppose the mind to be, as we say, white paper, void of all characters, without any ideas:- How comes it to be furnished? Whence comes it by that vast store which the busy and boundless fancy of man has painted on it with an almost endless variety? Whence has it all the materials of reason and knowledge? To this I answer, in one word, from EXPERIENCE. In that all our knowledge is founded; and from that it ultimately derives itself. Our observation employed either, about external sensible objects, or about the internal operations of our minds perceived and reflected on by ourselves, is that which supplies our understandings with all the materials of thinking. These two are the fountains of knowledge, from whence all the ideas we have, or can naturally have, do spring."

 David Hume (1711-1776) from An Enquiry Concerning Human Understanding (1777 edition)

      "Nothing, at first view, may seem more unbounded than the thought of man, which not only escapes all human power and authority, but is not even restrained within the limits of nature and reality. To form monsters, and join incongruous shapes and appearances, costs the imagination no more trouble than to conceive the most natural and familiar objects. And while the body is confined to one planet, along which it creeps with pain and difficulty; the thought can in an instant transport us into the most distant regions of the universe; or even beyond the universe, into the unbounded chaos, where nature is supposed to lie in total confusion. What never was seen, or heard of, may yet be conceived; nor is any thing beyond the power of thought, except what implies an absolute contradiction.
      But though our thought seems to possess this unbounded liberty, we shall find, upon a nearer examination, that it is really confined within very narrow limits, and that all this creative power of the mind amounts to no more than the faculty of compounding, transposing, augmenting, or diminishing the materials afforded us by the senses and experience. When we think of a golden mountain, we only join two consistent ideas, gold, and mountain, with which we were formerly acquainted. A virtuous horse we can conceive; because, from our own feeling, we can conceive virtue; and this we may unite to the figure and shape of a horse, which is an animal familiar to us. In short, all the materials of thinking are derived either from our outward or inward sentiment: The mixture and composition of these belongs alone to the mind and will. Or, to express myself in philosophical language, all our ideas or more feeble perceptions are copies of our impressions or more lively ones.To prove this, the two following arguments will, I hope, be sufficient. First, when we analyse our thoughts or ideas, however compounded or sublime, we always find, that they resolve themselves into such simple ideas as were copied from a precedent feeling or sentiment. Even those ideas, which, at first view, seem the most wide of this origin, are found, upon a nearer scrutiny, to be derived from it. The idea of God, as meaning an infinitely intelligent, wise, and good Being, arises from reflecting on the operations of our own mind, and augmenting, without limit, those qualities of goodness and wisdom. We may prosecute this enquiry to what length we please; where we shall always find, that every idea which we examine is copied from a similar impression."

 Introduction
© Charles F. Schmidt