from The Century Dictionary.
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In the seventeenth and eighteenth centuries, mathe - matics was so fascinated with its newly developing raw operational skills, that, in its ebullience, it hid from itself the necessity of attending to some basic con - ceptual (ideative) subtleties, mostly involving infinity, the discovery and pursuit of which had been a hallmark of the mathematics of the Greeks.
We see more clearly, therefore, with the aid of the doctrine of Energy, the import of the theory of transcendental æsthetic enunciated by Kant, who first pointed out that there are elements, and those the most necessary and universal, in the sense-presentation which bear the character of ideality as fully as the most subjective efforts of our ideative activity.
We seldom pursue so far into detail the ideative effort.
The primary qualities, being the general laws or forms of organic Energy-transmutation, are in a higher sense ideal, for they are the necessary conditions under which both sense-presentation and ideative representation proceed.
Severely and effectively as Berkeley criticised Locke's account of abstract ideas, the fact remains that abstraction is a primary feature of our whole conceptual system; and the abstractable elements of the sensible presentation being the necessary constituents of all ideative representation are properly denominated ideal.
Attention also requires a _preparation_ of the ideative centers in relation to the external object for which it is to be demanded: in other words, an internal, psychical "adaptation."