We must look more closely into the procedure of that old metaphysic.
In the first place it never went beyond the province of the analytic
understanding. Without preliminary inquiry it adopted the abstract
categories of thought and let them rank as predicates of truth. But in
using the term thought we must not forget the difference between finite
or discursive thinking and the thinking which is infinite and rational.
The categories, as they meet us _prima facie_ and in isolation, are
finite forms. But truth is always infinite, and cannot be expressed
or presented to consciousness in finite terms. The phrase _infinite
thought_ may excite surprise, if we adhere to the modern conception
that thought is always limited. But it is, speaking rightly, the very
essence of thought to be infinite. The nominal explanation of calling
a thing finite is that it has an end, that it exists up to a certain
point only, where it comes into contact with, and is limited by, its
other. The finite therefore subsists in reference to its other, which
is its negation and presents itself as its limit. Now thought is always
in its own sphere; its relations are with itself, and it is its own
object. In having a thought for object, I am at home with myself.
The thinking power, the 'I,' is therefore infinite, because, when it
thinks, it is in relation to an object which is itself. Generally
speaking, an object means a something else, a negative confronting me.
But in the case where thought thinks itself, it has an object which
is at the same time no object: in other words, its objectivity is
suppressed and transformed into an idea. Thought, as thought, therefore
in its unmixed nature involves no limits; it is finite only when it
keeps to limited categories, which it believes to be ultimate. Infinite
or speculative thought, on the contrary, while it no less defines,
does in the very act of limiting and defining make that defect vanish.
And so infinity is not, as most frequently happens, to be conceived as
an abstract away and away for ever and ever, but in the simple manner
previously indicated.
Public-domain text, read in full here on John Shaqi.
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