Excluded

ppl. a. [f. prec. + -ED¹.] In senses of the verb. Also absol.

1672.  in Essex Papers (1890), I. 27. I lately believd … that they would of themselves have readmitted their excluded Alderman.

1717.  Lady M. W. Montague, Lett., II. xliv. 24. It is easy to see in her manner, that she has lived excluded from the world.

1860.  Mill, Repr. Govt. (1865), 22/2. The interest of the excluded is always in danger of being overlooked.

1879.  Green, Readings fr. Eng. Hist., xvii. 83. The excluded monks.

  b.  Excluded middle, third: (see quots.)

1837–8.  Sir W. Hamilton, Logic (1860), I. 83. The principle of Excluded Third or Middle—viz. between two contradictories—enounces that condition of thought, which compels us, of two repugnant notions, which cannot both coexist, to think either the one or the other as existing.

1849.  Abp. Thomson, Laws Th., 295.

1884.  trans. Lotze’s Metaph., Introd. 10. Every physical enquiry employs the logical principles of Identity and Excluded Middle for the attainment of its results.