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12 ay 1815
Chrest. Tab. II Conclusion

In Algebra distinction between the formal abbreviative, and the
inventive part recognized by Euler and Carnot

It was by an abstract consideration of the nature of the case⊞ ⊞ (i.e. by a metaphysical view of the subject, as some mathematicians would incline to say, is a logical, as it might be more correct to say,)
that that notion of the natural distinctness between the contravening forms
of for abbreviation on the one hand, and the contrivances for the
actual solution of problems, though by with the assistance
afforded by those abbreviative contrivances on the other, were
suggested to the writer of these pages. It was with no
small satisfaction that for this same idea he were found
afterwards a confirmation and a sort of sanction in the
works of two first rate mathematicians, viz. a passage
in Euler, adopted and quoted with applause, by Carnot.
Euler Numere de l'Academie de Berlin, Annie 1754
Réflexions sur la Métaphysique du Calcul infinitésimal
Paris 1818 - p.202

Persons there are says he, in whose view of the matter
Geometry and Algebra (la géométrie et l'analyse)
do not require many reasonings (raisonnements); in their
view the rules (les règles) which these sciences prescribe to us, include
already the points of knowledge (les connaissance)
necessary to conduct us to the solution, so that all
that we have to do is to perform the operations in conformity
to those rules, without troubling ourselves with
the reasonings on which those rules are grounded. This
opinion, if it were well-grounded, would be very strongly
in opposition to that almost general general opinion persuasion,
according to which Geometry and Algebra are regarded
as the most appropriate means instruments for cultivating the mental
faculties powers (l'esprit), and giving exercise to the facult reasoning
faculty or ratiocination (la faculté de raisonner.) Although they the persons in question are
not without a tincture of mathematical learning yet
surely they can have been but little habituated to the solution
of problems in which any considerable degree of
difficulty is involved; for, soon would they have perceived
that

Identifier: | JB/018/099/001 "JB/" can not be assigned to a declared number type with value 18.
Date_1	1815-04-12	Marginal Summary Numbering	or 1, 2
Box	018	Main Headings	chrestomathia
Folio number	099	Info in main headings field	chrest. tab. ii conclusion
Image	001	Titles
Category	text sheet	Number of Pages	1
Recto/Verso	recto	Page Numbering	c1 / d28 / e1
Penner	jeremy bentham	Watermarks
Marginals	jeremy bentham	Paper Producer
Corrections		Paper Produced in Year
Notes public		ID Number	6508
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