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of Mathematics. Long Deductions in Algebra for 
the mod parCare made, not fo much by a~Train of 
Reafoning in the Mind, as by an artificial kind of 
Operation, which is built on a few very fimple 
Principles: But in Geometry we may build one 
Proportion upon another, a third upon that, and fo 
on, without ever coming to a Limit which we can- 
not exceed. The Properties of the more fimple 
figures can hardly be exhaufted, much lefs thofe 
of the more complex ones. 
Sect. 4. Cor oil. 2. 
It may I think be deduced from what hath been above 
faid, That mathematical Evidence is an Evidence Cut 
generis , not competent to any Propofition which does 
not exprefs a Relation of Things meafurable by Lines 
or Numbers. All proper Quantity may be meafured 
by thefe, and improper Quantities muft be meafured 
by thofe that are proper. 
There arc many Things capable of More and Lefs, 
which perhaps are not capable of Menfuration! 
Taftes, Smells, the Senfations of Heat and Cold* 
Beauty, Pleafurc, all the Affections and Appetites 
of the Mind, Wifdom, Folly, and mod Kinds of 
Probability, with many other Things too tedious to 
enumerate, admit of Degrees, but have not yet been 
reduced to Mcafure, nor, as I apprehend, ever can 
be. I lay, mod Kinds of Probability, becaufe one 
Kind of it, viz. the Probability of Chances is pro- 
perly meafurable by Number, as is above obferved. 
Altho Attempts have been made to apply mathe- 
matical Reafoning to fome of thefe Things, and the 
Quantity of Virtue and Merit in Actions has been 
meafured 
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