Page:An Investigation of the Laws of Thought (1854, Boole, investigationofl00boolrich).djvu/145

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CHAP. VIII.]
OF REDUCTION.
129

nearly all disappear, and we have only left (5)

[errata 1];

whence

furnishing the interpretation. Wherever the property is found, either the property or the property will be found with it, but not both of them together.

From the equation (5) we may readily deduce the result arrived at in the previous investigation by the method of arbitrary constant multipliers, as well as any other proposed forms of the relation between , , and ; e.g. If the property is absent, either and will be jointly present, or will be absent. And conversely, If and are jointly present, will be absent. The converse part of this conclusion is founded on the presence of a term with unity for its coefficient in the developed value of .


  1. Correction: should be amended to : detail