§ 98. Abstraction too may be performed upon attributes as well as
substances. Thus, having by abstraction already arrived at the notion
of triangle, square, and so on, we may fix our attention upon what
these have in common, and so rise to the higher abstraction of
'figure.' As thought becomes more complex, we may have abstraction on
abstraction and attributes of attributes. But, however many steps may
intervene, attributes may always be traced back to substances at
last. For attributes of attributes can mean at bottom nothing but the
co-existence of attributes in, or in connection with, the same
substances.
§ 99. We have said that abstract terms are so called, as being arrived
at by abstraction: but it must not be inferred from this statement
that all terms which are arrived at by abstraction are abstract. If
this were so, all names would be abstract except proper names of
individual substances. All common terms, including attributives, are
arrived at by abstraction, but they are not therefore abstract terms.
Those terms only are called abstract, which cannot be applied to
substances at all. The terms 'man' and 'human' are names of the same
substance of which Socrates is a name. Humanity is a name only of
certain attributes of that substance, namely those which are shared by
others. All names of concrete things then are concrete, whether they
denote them individually or according to classes, and whether directly
and in themselves, or indirectly, as possessing some given attribute.
§ 100. By a 'concrete thing' is meant an individual Substance
conceived of with all its attributes about it. The term is not
confined to material substances. A spirit conceived of under personal
attributes is as concrete as plum-pudding.
§ 101. Since things are divided exhaustively into substances and
attributes, it follows that any term which is not the name of a thing
capable of being conceived to exist by itself, must be an abstract
term. Individual substances can alone be conceived to exist by
themselves: all their qualities, actions, passions, and
inter-relations, all their states, and all events with regard to them,
presuppose the existence of these individual substances. All names
therefore of such things as those just enumerated are abstract
terms. The term 'action,' for instance, is an abstract term. For how
could there be action without an agent? The term 'act' also is equally
abstract for the same reason. The difference between 'action' and
'act' is not the difference between abstract and concrete, but the
difference between the name of a process and the name of the
corresponding product. Unless acts can be conceived to exist without
agents they are as abstract as the action from which they result.
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