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27 July 1814
Logic
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Ch.3.III. Operations
'.6.V. Subjects many
Designation
Denomination (collective)
Methodization
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2. Denomination - or say common, collective, or generic denomination. In so far as the sort of operation thus described and denominated has place, the same sign is made to designate and upon occasion render present to the mind, two or any greater number of individual objects: two or any greater number of individual objects, by which so ever of the two faculties, the memory or the imagination rendered present to it.
Thus while the human species contained but one individual, viz. Adam, individual designation was the only operation of this class which an intelligent and conversing being such as an Angel or a Devil, having occasion to designate him could have occasion to employ in the designation of him. But no sooner had Eve, when detached from his side, received a separate existence than the occasion for denomination, i.e. collective designation or denomination, came into existence: a name such as should be capable of designating the species which by the addition of this second individual was now formed. One species was then already in actual existence: at the same time, two sort[?] of subordinate species, or rather two species at once, viz. the two species formed together by the difference in respect of sex, received already a sort of potential existence. At the birth of Cain, the species constituted [by] the male sex received an actual existence: Adam and Cain, the individuals: on the birth of Cain's eldest sister, the species corresponding to the female sex, received the like existence: Eve and her unnamed daughter whoever she were, the individuals.
Continue this subject under the head of Language, to which make reference.
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Title: [6 Aug. 1814 Logic 3]Description: 6 Aug. 1814 Logic 3 Ch. │ │ Methodization '. │ │ Subalternation 3 Had Adam and Eve remained childless, the human species would never have received, at least from human lips, a common name. On that supposition himself and Eve would have been all the human beings whom Adam could have had need to speak of: herself and Adam all that Eve could have had need to speak of: for any common name including these two still less for a common name including other human beings in an indefinite number could either of these our first parents have had any use. In the language of the modern Hebrews and even in the language of the Hebrew Scriptures, the same word which is employed to designate the earliest individual of the human species, man, is employed to designate the species likewise. A name employed constantly by Adam for designating himself to the exclusion of Eve could never have been employed or pitched upon for designating both of them together. 293
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Title: [14 Oct. 1814 Logic 1]Description: 14 Oct. 1814 Logic 1 Ch.3.III. Operations '.6.V. Subjects many Designation Denomination - Collective 3 Methodization 14 3 3. Methodization, or Arrangement. Of this operation, as will more particularly be seen further on under a separate head thus denominated, there are two distinguishable modes: for the designation of one of which the words collective {or cumulative,} of the other the word lineal may be employed: or instead of the lineal mode of methodization, the term methodization by means of precedence may be employed. To collective or cumulative methodization: {the use of} one of the operations above designated by the term denomination, viz. collective denomination, seems to be an altogether indispensable requisite. A general name is the common - the necessary - tie, by which a number of general or abstract ideas are fixed and fastened together in the mind. In what respect then is collective methodization distinct from collective denomination? In this only, that where the word methodization is employed, a multitude of groupes or collections of general ideas are considered as being at the same time formed or brought together, and at the same time so constituted and disposed that two or more, each having its collective name or denomination, are connected together by and comprehended within some common name, some name which, being common to them both and not applied to any other, serves at the same time to distinguish them from all objects to which different names have been applied:- the new and larger groupes thus formed being at the same time, in company with some other groupe or groupes formed in the same manner, formed into some still more capacious multitudinous groupe; and so on through any number of processes of ulterior aggregation.
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Title: [10 Dec. 1815 Chrestom. or Language]Description: 10 Dec. 1815 Chrestom. or Language 1 '. Noun substantive 3. Number Number. Every proposition in which the noun is in the plural number, is a complex one; and, as such, resolvable, at least in its origin, into a multitude of propositions, according to the number of the persons or things which occupy in it the station of subject or predicate, to which soever it be that that number is attributed. When the number of these objects is determinate, the number of the simple propositions included in the complex one thus formed, will be exactly equal to the number of these objects, and so far no abstraction will necessarily have had place. When the number of these objects is altogether indeterminate, so, of consequence, must be the number of the simple propositions requisite to the constituting one equivalent to the supposed plural one. Take the state of things when the primeval society consists of four persons, Cain and Abel being born to Adam and Eve. Applied to persons, - They are asleep, addressed by Eve to Adam, will have for its equivalent these two simple propositions, Cain is asleep - Abel is asleep. A sister, suppose, is born to them; - the numbers of simple propositions capable of being included in a pronoun-substantive of the first person, is now increased from two to three. As soon as the plural becomes indefinite, abstraction is performed, the idea of a class is formed, an aggregate of which the individual elements are susceptible of continual change. 32
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