date

18 Feb. 1815 Didacologia Ch
18 Feb. 1815

Didacologia

Ch. Art & Science Division

25

IV. Sciences having for their subjects the predicaments of Number, Figure, and Quantity.

Between /Among/ these /the/ three predicaments respectively designated by these three names, the nature and intimacy of the relation that has place, has already been brought to view. Of figure, the modifications are scarcely conceivable, nor, accordingly, clearly expressible, otherwise than by means of number; whilst quantity is a predicament including both, and, therefore, still more abstract than either.

By the Greek-sprung word posology, the science of quantity, may, it is believed, and if so, now for the first time, not inappositely be distinguished.

Melomorphic, or say, morphoscopic, and amelomorphic, having regard to figure, and not having regard to figure; to the one or other of these denominations will the whole contents of the field of posology be found referable.

Of posology, the melomorphic, or morphoscopic branch has found in the word geometry (measurement of the earth) a denomination altogether familiar, but far from being co-extensively expressive. In the practice of measuring the earth may be found the origin of this branch of art and science, as well as one of its great uses. But besides the earth, it is, moreover, employed in the measuring of the rest of the visible universe. Not unfrequently, in the measuring of imaginary and unexemplified extension, i.e. in the measuring of nothing at all; and it is when thus employed, that those, by whom it is cultivated, seem most proud of it.

Oristic, and aoristic, or more expressively, oristicosemeiotic and aoristicosemeiotic, determinately and indeterminately expressed - to one or other of these denominations, will the whole contents of the field of amelomorphic posology be found referable /expressible/.

Of amclomorphic posology, the oristicosemeiotic branch has always had an appellative, no less apposite and expressive, than familiar in the word arithmetic i.e. the art and science which has numbers for its subject - the art of applying numbers to use, including the science of the properties of numbers, the aoristicosemeiotic, in the Arabic-sprung word algebra, an appellative not much less familiar, but altogether inapposite and unexpressive.

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    For the designation of the general term science, as Applied /considered as applying/ to this or that particular portion of the field of science by some persons, and on some occasions, the termination logy, and by others the termination gnosy, is preferred. On other occasions, or by some persons, to give compactness to the appellation, both are discarded, and the termination cs, as designative of an adjective, of which the substantive is subintellected, is preferred. These terminations are all taken from the Greek, the language without which scarcely any new names could, by our barbarism-sprung language, be framed; and consequently scarcely any new views of things taken or expressed, nor, in so far as former ones are either incorrect or incomplete, any true {and adequate} ones be so much as formed.

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    The further we advance, the more clearly does /do/ the convenience of an apposite nomenclature and systematic arrangement, and the inconvenience of inapposite nomenclature and unsystematic arrangement become perceptible.

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    So much for the apposite and systematic nomenclature and arrangement, now as to the inapposite and unsystematic. Of the two composing the inapposite appellative employed to designate physioplastic somatics, the word natural in so far as it went, was apposite and expressive. But when applied to designate the anthropoplastic branch of somatics, instead of being apposite and leading to truth, it leads of itself to error. What it gives you to understand is, that under the branch of science to which it thus gives name, in the observation made on the bodies which are the subjects of it, the state to which the consideration is confined is that into which they have been brought by the hands of nature, whereas the truth is, that the state in which alone they constitute, in a direct way, the subject of anthropoplastic somatology, is the state into which they have been brought, or are capable of being brought by the hand of man.

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    Of deontology the field is either private or public and for the division of the science itself these adjuncts may accordingly be made to serve.

    Intransitive and transitive, to one or other of these denominations will the whole contents of the field of private deontology be found referable. Intransitive, in so far as that individual, and no other, whose agency is, on the occasion in question, the object of consideration, the person for whose guidance the inquiry is made, is the party whose wellbeing is taken into consideration and included in the account. Transitive, in so far as in the account in question, the well being of any other individual or individuals, is considered.

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