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[154b-418] Numbers Assumptions
[154b-418]

Numbers

Assumptions

Assumptions /Suppositions/ or Positions assumed

1. A certain community is given (viz: of the community of Paupers or Burthensome Poor maintained at the public expence throughout South Britain such part as is composed of persons of all ages from birth to one and twenty years complete inclusive)

2. A period of 21 years is assumed (viz: from 1 Jan y 1800 to 31 Dec. r 1820 both inclusive) at the commencement of which period, all persons on that day, members of the given community, are to be placed in a certain situation, as likewise all persons successively becoming members thereof during the given period, which persons are to be discharged from the situation in question, on the several days on which they respectively attain the age of 21 years compleat, and /but/ not before.
Similar Items
  • Title: [Title of Accumulation Table Apprentice]
    Description: Title of Accumulation Table

    Apprentice-Accumulation-Table: Shewing the numbers of Pauper Apprentices that would be accumulated in the different Years of a Period of 21 Years from 1 Jan. 1800 to 31 Dec r 1820 inclusive on the following Suppositions viz:

    1. The whole number of Paupers existing in the Country on the 1 Jan: 1800 under the age of 21 to be taken in on that day on the footing of Apprentices.

    2. Every such Infant Pauper to continue on the footing of an Apprentice till his or her arrival at such his or her Age of maturity, and no longer.

    3. Total number that would be received on that footing on the 1 Jan. y 1800 supposing the whole number to be received of Paupers of all ages to be 500

    3. Total number of /to be 500/ Paupers in South Britain for the 1 st & every other year of the period 500,000

    4. N o of Paupers of the respective ages under 21 as in Column 1 of the Table: the same being respectively to the above /being respectively to the/ total of 500000, in a proportion deduced from a Census of 851 Paupers, standing upon the list of /belonging to/ 31 Parishes, as exhibited in [...?] on the Poor 4to Vol.II.& III. London 1797
  • Title: [[154b-420] Numbers Assumptions]
    Description: [154b-420]

    Numbers

    Assumptions

    7. The ratio of the numbers of the different ages taken out of the community by death to the numbers left remaining in it alive, is not the same as between age and age: some of the ages losing from this cause, within a given portion of time more of their numbers than others, in the proportions observed is according to the rate of mortality in France, as reported by D r Hutton in his Mathematical Dictionary.

    8 The number assumed for the total number of the numbers of the given community of all ages is 500,000 supposed for the purpose of calculation to be 500 000.

    9. The proportional numbers as between age and age are those which are exhibited in the ensuing Table now given in Column [\ZS\] the same being respectively the observed numbers observed to be in existence /found existing/ in a total of 851 Paupers, composing the stock of 31 Parishes, according to a Census reported by Sir Frederic Eden in his Book intitled The State of the Poor 3 Vols 4 to London 1797.
  • Title: [[154b-426] Numbers Assumptions]
    Description: [154b-426]

    Numbers

    Assumptions

    Observations

    Whatever error exists in the Assumptions, will exist in equal proportion in whatever Propositions are grounded on them: there is admitted: but in somuch as they approach to the truth insomuch will the propositions /deduced from them/ /so grounded on them/ approach to the truth likewise.

    The population of the feeding community - the country at large is doubtless on the encrease: the quantum of the supplies which it affords year after year in different years to the Pauper community may therefore be expected to receive an increase from this source, over and above any increase they may receive from other sources. If then the number of Paupers be 500,000 and no more in any given year (1800 suppose) in the next (1801) they may be expected to amount to some number greater than the 500,000 - and so on. Of this increase we do not know the rate: but we know this much that it is slow and gradual: and that to such a degree as to leave ample time for making provision for it in the way of Home-Room as well as other requisites.