How many drops fall before we say 'it is raining'?

THE LOGIC STAGE
It is difficult to say at what age, precisely, we should pass from the first to the second part of the Trivium. Generally speaking, the answer is: so soon as the pupil shows himself disposed to pertness and interminable argument. For as, in the first part, the master faculties are Observation and Memory, so, in the second, the master faculty is the Discursive Reason. In the first, the exercise to which the rest of the material was, as it were, keyed, was the Latin grammar; in the second, the key- exercise will be Formal Logic.

It is here that our curriculum shows its first sharp divergence from modern standards. The disrepute into which Formal Logic has fallen is entirely unjustified; and its neglect is the root cause of nearly all those disquieting symptoms which we have noted in the modern intellectual constitution. Logic has been discredited, partly because we have come to suppose that we are conditioned almost entirely by the intuitive and the unconscious. There is no time to argue whether this is true; I will simply observe that to neglect the proper training of the reason is the best possible way to make it true. Another cause for the disfavor into which Logic has fallen is the belief that it is entirely based upon universal assumptions that are either unprovable or tautological. This is not true. Not all universal propositions are of this kind. But even if they were, it would make no difference, since every syllogism whose major premise is in the form "All A is B" can be recast in hypothetical form. Logic is the art of arguing correctly: "If A, then B." The method is not invalidated by the hypothetical nature of A. Indeed, the practical utility of Formal Logic today lies not so much in the establishment of positive conclusions as in the prompt detection and exposure of invalid inference.

Let us now quickly review our material and see how it is to be related to Dialectic. On the Language side, we shall now have our vocabulary and morphology at our fingertips; henceforward we can concentrate on syntax and analysis (i.e., the logical construction of speech) and the history of language (i.e., how we came to arrange our speech as we do in order to convey our thoughts).

Our Reading will proceed from narrative and lyric to essays, argument and criticism, and the pupil will learn to try his own hand at writing this kind of thing. Many lessons--on whatever subject--will take the form of debates; and the place of individual or choral recitation will be taken by dramatic performances, with special attention to plays in which an argument is stated in dramatic form.

Mathematics--algebra, geometry, and the more advanced kinds of arithmetic--will now enter into the syllabus and take its place as what it really is: not a separate "subject" but a sub- department of Logic. It is neither more nor less than the rule of the syllogism in its particular application to number and measurement, and should be taught as such, instead of being, for some, a dark mystery, and, for others, a special revelation, neither illuminating nor illuminated by any other part of knowledge.

History, aided by a simple system of ethics derived from the grammar of theology, will provide much suitable material for discussion: Was the behavior of this statesman justified? What was the effect of such an enactment? What are the arguments for and against this or that form of government? We shall thus get an introduction to constitutional history--a subject meaningless to the young child, but of absorbing interest to those who are prepared to argue and debate. Theology itself will furnish material for argument about conduct and morals; and should have its scope extended by a simplified course of dogmatic theology (i.e., the rational structure of Christian thought), clarifying the relations between the dogma and the ethics, and lending itself to that application of ethical principles in particular instances which is properly called casuistry. Geography and the Sciences will likewise provide material for Dialectic.

But above all, we must not neglect the material which is so abundant in the pupils' own daily life.
There is a delightful passage in Leslie Paul's "The Living Hedge" which tells how a number of small boys enjoyed themselves for days arguing about an extraordinary shower of rain which had fallen in their town--a shower so localized that it left one half of the main street wet and the other dry. Could one, they argued, properly say that it had rained that day on or over the town or only in the town? How many drops of water were required to constitute rain? And so on. Argument about this led on to a host of similar problems about rest and motion, sleep and waking, est and non est, and the infinitesimal division of time. The whole passage is an admirable example of the spontaneous development of the ratiocinative faculty and the natural and proper thirst of the awakening reason for the definition of terms and exactness of statement. All events are food for such an appetite. An umpire's decision; the degree to which one may transgress the spirit of a regulation without being trapped by the letter: on such questions as these, children are born casuists, and their natural propensity only needs to be developed and trained--and especially, brought into an intelligible relationship with the events in the grown-up world. The newspapers are full of good material for such exercises: legal decisions, on the one hand, in cases where the cause at issue is not too abstruse; on the other, fallacious reasoning and muddleheaded arguments, with which the correspondence columns of certain papers one could name are abundantly stocked.

Wherever the matter for Dialectic is found, it is, of course, highly important that attention should be focused upon the beauty and economy of a fine demonstration or a well-turned argument, lest veneration should wholly die. Criticism must not be merely destructive; though at the same time both teacher and pupils must be ready to detect fallacy, slipshod reasoning, ambiguity, irrelevance, and redundancy, and to pounce upon them like rats. This is the moment when precis-writing may be usefully undertaken; together with such exercises as the writing of an essay, and the reduction of it, when written, by 25 or 50 percent.

It will, doubtless, be objected that to encourage young persons at the Pert age to browbeat, correct, and argue with their elders will render them perfectly intolerable. My answer is that children of that age are intolerable anyhow; and that their natural argumentativeness may just as well be canalized to good purpose as allowed to run away into the sands. It may, indeed, be rather less obtrusive at home if it is disciplined in school; and anyhow, elders who have abandoned the wholesome principle that children should be seen and not heard have no one to blame but themselves.

Once again, the contents of the syllabus at this stage may be anything you like. The "subjects" supply material; but they are all to be regarded as mere grist for the mental mill to work upon. The pupils should be encouraged to go and forage for their own information, and so guided towards the proper use of libraries and books for reference, and shown how to tell which sources are authoritative and which are not.