...also a Universal ? The difficulty is solved by the distinction between not require,' he says, ' some pains and skill to form the general idea of a triangle...nor rectangle, neither equilateral, equicrural, nor scalenan : but all and none of these at once. In effect, it is something imperfect, that cannot exist...

...other hand, who was a Conccptualist, says in his Essay (B. IV. c. vii..g 9), "Does it not require some pains and skill to form the general idea of a triangle,...neither oblique nor rectangle, neither equilateral, eqnicrural, nor scalenon ; but all and none of these at once. In effect, it is something imperfect...

...IV. c. vii..§ 9), "Does it not require some pains and skill to form the general idea of a triunglt, [which is yet none of the most abstract, comprehensive,...equicrural, nor scalenon ; but all and none of these at onee. In effect, it is something imperfect that cannot exist [ie, in fact, or actually] ; an idea wharein...

...over abstract ideas. Locke had spoken of our possessing ' the general idea of a triangle ' which " must be neither oblique nor rectangle, neither equilateral,...nor scalenon, but all and none of these at once." Berkeley says : " If any man has the faculty of framing in his mind such an idea of a triangle as is...

...abstractions. What it does prove is that the notion of an image of a triangle "neither oblique nor rectangle, equilateral, equicrural, nor scalenon, but all and none of these at once" is not contradictory, but can be given a straightforward operational definition in an information processing...

...concept. It is true that Locke confused the issue by saying of the general idea of a triangle that 'it must be neither Oblique, nor Rectangle, neither...nor Scalenon; but all and none of these at once'. The first confusing feature is the reference of the pronoun 'it'; we might think that it refers to...

...this problem in connection with the abstract term "triangle." The idea of triangle he thought must be "neither equilateral, equicrural, nor scalenon but all and none of these at once" (p. 509). The abstract idea might be a kind of average of the attributes associated with the individuals...

...triangle by abstracting from the latter all of its particular qualities. The result is a triangle that is "neither equilateral, equicrural, nor scalenon, but all and none of these at once" (ibid., p. 339). Berkeley replied that the mind cannot conceive or imagine any triangle the sides of...

...and do not so easily offer themselves us we are apt to imagine. For example, does it not require some pains and skill to form the General Idea of a Triangle?...yet none of the most abstract, comprehensive, and difHoult); for itmiislbo neither oblique, nor rectangle, neither equilateral, cquicrural, nor scalcnon;...

...Locke over abstract ideas. Locke had spoken of our possessing 'the general idea of a triangle' which "must be neither oblique nor rectangle, neither equilateral,...nor scalenon, but all and none of these at once." Berkeley says: If any man has the faculty of framing in his mind such an idea of a triangle as is here...