ideas that a general name comes to signify any particular thing.  Whereas, in truth, there is no such thing as one precise and definite signification annexed to any general name, they all signifying indifferently a great number of particular ideas.  All which doth evidently follow from what has been already said, and will clearly appear to anyone by a little reflexion.  To this it will be objected that every name that has a definition is thereby restrained to one certain signification.  For example, a triangle is defined to be A plain surface comprehended by three right lines, by which that name is limited to denote one certain idea and no other.  To which I answer, that in the definition it is not said whether the surface be great or small, black or white, nor whether the sides are long or short, equal or unequal, nor with what angles they are inclined to each other; in all which there may be great variety, and consequently there is no one settled idea which limits the signification of the word triangle.  It is one thing for to keep a name constantly to the same definition, and another to make it stand everywhere for the same idea; the one is necessary, the other useless and impracticable.

19.  Secondly, But, to give a farther account how words came to produce the doctrine of abstract ideas, it must be observed that it is a received opinion that language has no other end but the communicating our ideas, and that every significant name stands for an idea.  This being so, and it being withal certain that names which yet are not thought altogether insignificant do not always mark out particular conceivable ideas, it is straightway concluded that they stand for abstract notions.  That there are many names in use amongst speculative men which do not always suggest to others determinate, particular ideas, or in truth anything at all, is what nobody will deny.  And a little attention will discover that it is not necessary (even in the strictest reasonings) significant names which stand for ideas should, every time they are used, excite in the understanding the ideas they are made to stand for—­in reading and discoursing, names being for the most part used as letters are in algebra, in which, though a particular quantity be marked by each letter, yet to proceed right it is not requisite that in every step each letter suggest to your thoughts that particular quantity it was appointed to stand for.[Note.]

[Note:  Language has become the source or origin of abstract general ideas on account of a twofold error.—­(1.) That every word has only one signification. (2.) That the only end of language is the communication of our ideas—­Ed.]