Thinking and learning to think - Nathan C. Schaeffer (romantic story to read .txt) 📗
- Author: Nathan C. Schaeffer
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There is an error, on the other hand, into which practical men fall when they object to the technical language of the scientist. There are many things in science which cannot be made plain to the non-scientific mind. The difficulty lies not in the terminology employed, but in the lack of the basal concepts necessary for the advanced thinking which must be employed. Says Robert Galloway, “Words when employed in science, unlike their employment in common use, have a meaning steadily fixed and precisely determined; this precision in the meaning of scientific terms necessarily requires on the part of those who can make proper use of them accurate habits of thought; this is an indispensable qualification for attainment in any science; there is no dispensing with it, consequently one who does not know the language of a science, and who has not been taught to think accurately with respect to it, cannot understand properly what may be told or shown him about the facts or principles of that science.”
From this point of view it is easy to see the use which the teacher should make of technical terms. Circumlocutions and explanatory phrases may be helpful in developing fundamental ideas, but the corresponding technical terms should be associated with the ideas as soon as these assume clear, definite shape. Language is the atmosphere in which thinking lives; technical language is as necessary to the scientific thought as the air we breathe is to the physical life. In one of his letters to a young man whose education had been neglected, De Quincey renders an important service to the science of teaching. “In assigning to the complex notion X the name transcendental, Kant was not simply transferring a word which had previously been used by the school-men to a more useful office; he was bringing into the service of the intellect a new birth; that is, drawing into a synthesis, which had not existed before as a synthesis, parts or elements which exist and come forward hourly in every man’s mind. I urge this upon your attention, because you will often hear such challenges thrown out as this (or others involving the same error): ‘Now, if there be any sense in this Mr. Kant’s writings, let us have it in good old mother English.’ That is, in other words, transfer into the unscientific language of life scientific notions which it is not fitted to express. The challenger proceeds upon the common error of supposing all ideas fully developed to exist in esse in all understandings, ergo, his own; and all that are in his own he thinks we can express in English. Thus the challenger, in his own notions, has you in a dilemma, at any rate; for, if you do not translate it, then it confirms his belief that the whole is jargon; if you do (as, doubtless, with the help of much periphrasis, that will be intelligible to a man who already understands the philosophy), then where was the use of the terminology? But the way to deal with this fellow is as follows: My good sir, I shall do what you ask; but before I do it I beg you will oblige me by (1) translating this mathematics into the language of chemistry; (2) translating this chemistry into the language of mathematics; (3) both into the language of cookery, and, finally, solve me the Cambridge problem, Given the captain’s name, the year of our Lord, to determine the longitude of the ship? This is the way to deal with such fellows.”
Technical terms are very helpful in dealing with that which cannot be imaged or visualized. When Francis Galton began his inquiries into the power possessed by different minds to conceive the breakfast table, to recall vividly the various dishes and the way in which they are placed upon the table, many men of scientific habits of thought declared that there is no such human faculty. On the other hand, the educational reformer whose early training did not make him familiar with the thought-processes of higher mathematics may honestly declare that he cannot conceive an abstract number, and, as a matter of course, he can have no adequate conception of the value of the higher forms of thinking in symbols. Dr. W. T. Harris has well said that the mind can think ideas which cannot be pictorially conceived or made to stand before the mind in thought-images. In thinking this class of ideas, technical terms are indispensable as instruments of thought.
The value of technical terms as instruments of thought is seen in a still clearer light if we try to classify the various uses of the signs and symbols which are employed as aids in thinking. Many of these have no office beyond that of suggesting the things or ideas for which they stand. To this class belong the marks which suggest to the tramp a cross dog or a good meal. As soon as he has seen them, they could be erased; the train of thought which they started in his mind can go on without them. Of a similar character are the devices by which the merchant marks the buying and the selling prices of goods, the red and blue lights used on railways and ocean steamers, the secret signs and signals employed by the signal corps of an army, and the steps, grips, signs, countersigns, and passwords employed by secret societies as a means of identification. Very many of the artificial devices used in systems of mnemonics have no higher function than that of suggesting what otherwise might be forgotten.
Very different are the signs and symbols which mathematics employs as substitutes for the quantities to be considered. In adding a column in the ledger or in a statistical table the mind thinks the figures without reference to the concrete objects which they denote. In the solution of a problem in algebra the unknown quantities are represented by symbols like x and y, the known quantities by the first letters of the alphabet or by numerical expressions; the relations between the quantities are indicated by equations; there is no thought of the quantities themselves while the mind is engaged in manipulating the symbols according to well-defined rules of operation, and only when the result is to be interpreted do the quantities reappear in the field of consciousness. The substitute symbol is a device for temporarily dropping an idea until it is needed for interpretation; the suggestive symbol is a means of bringing an idea or thought into the domain of consciousness. The latter furnishes or recalls material for the mind to act upon; the former lightens the burden which the mind would otherwise have to carry. The arithmetical solution of an age question in which the mind constantly carries the thought of A’s age and his wife’s age as compared with the algebraic solution of the same question in which A and his wife, as well as their ages, sink temporarily out of sight, shows the value of substitute signs and symbols in mathematical thinking, and explains why algebraic methods are so far superior to the clumsy and involved methods of arithmetical analysis.
Different from either of these is the class of symbols used in expressing ideas. This class includes not only the words of written and spoken language, but also the natural signs of gesture language and the conventional signs of manual language taught to deaf mutes. The language is full of faded metaphors indicating the office of common words. They are said to express meaning, to convey thought, to embody ideas, to enshrine content. They may be likened to window-panes through which one sees what is back of them. Sometimes the window-panes, like spectacles when first worn, attract more attention from the person looking than the objects seen through them,—a parallel to what occurs when the articulate speech, or its rhetorical adornment, attracts more attention than the thought expressed. But if that which is seen through the window-pane is on the order of a Santa Claus loaded with toys and Christmas-gifts, then no notice is taken of the medium through which the object is seen. Hence the very best teaching—that which rivets attention upon the thought conveyed—always fails to teach the spelling of words incidentally. Furthermore, the instruction which frequently stops to draw attention to the grammar of the sentences, the spelling of the words or their mode of utterance, interferes with the formation of logical habits of thinking and divests the words of their function as expressive signs. When the word itself becomes an object of thought the mind is not thinking by means of that word. It has been well said that we may fail to apprehend the meaning of what a person is saying because the tone of his voice arrests our attention through its resemblance to that of some one else in whom we feel an interest; that so far as signs thus attract notice on their own account, they fail to fulfil their function as a means of attending to something other than themselves. For this very pertinent observation credit is due to Mr. G. F. Stout, who (“Mind,” lxii. page 18) has very clearly drawn the distinction between the three classes of signs or symbols used as helps in thinking. He says,—
“Suggestive signs serve only to bring something to mind; they are not a means of minding it when once recalled. An expressive sign, on the contrary, is a means of attending to its signification.... Expressive signs differ from substitutes in a manner exactly the inverse of that in which they differ from suggestive signs. A suggestive sign has fulfilled its purpose and becomes of no further avail so soon as it has suggested its meaning. A substitute sign is a counter which takes the place of its meaning; so long as it fulfils its representative function it renders useless all reference to that which it represents. The counters are manipulated according to certain rules of operation until a certain result is reached, which is then interpreted. The operator may be actually unable to interpret the intermediate steps. Algebraical and arithmetical symbols are to a great extent used as mere substitute signs. The same is true of the symbols employed in formal logic. It is possible to use signs of this kind whenever fixed and definite rules of operation can be derived from the nature of the things symbolized, so as to be applied in manipulating the signs without further reference to their signification. A word is an instrument for thinking about the meaning which it expresses; a substitute sign is a means of not thinking about the meaning which it symbolizes.”
In addition to these three purposes the technical term may serve still another important end. It helps to fix the new concept or notion after it has been developed by skilful instruction. Its association therewith makes it a suggestive sign whenever occasion requires the recurrence of the concept or thought for which it stands. The train of thought is facilitated and made possible by the use of technical terms as expressive signs. And if the idea denoted by it can be accurately defined, so that the definition becomes a triumph of intellect, or if it can be quantified, so as to become a unit of measure
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