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An idea is an ideal. It represents a functional relation in the diffuse existences to which it gives a name and a rational value. An idea is an expression of life, and shares with life that transitive and elusive nature which defies definition by mere enumeration of its materials.
Moreover, truth may very well be identified with an impassible intellect, which should do nothing but possess all truth, with no point of view, no animal warmth, and no transitive process. Such an intellect and truth are expressions having a different metaphorical background and connotation, but, when thought out, an identical import.
His. 1, 16: dignus eram; 3, 22: ratio fuit; and Z. 518, 519. Such is the interpretation, which after a thorough reinvestigation, I am now inclined to apply to this much disputed passage. It is that of Ritter. Besides the authority of Rit., Doed., Freund and others, I have been influenced by a regard to the usage of Tacitus, which lends no sanction to a transitive sense of cursare. Cf.
It is evident that the relation of extension is transitive; namely as applied to durations, if duration A is part of duration B, and duration B is part of duration C, then A is part of C. Thus the first two cases may be combined into one and we can say that two durations which belong to the same family either are such that there are durations which are parts of both or are completely separate.
In intent we pass over from existence to ideality, the nexus lying in the propulsive nature of life which could not have been capped by any form of knowledge which was not itself in some way transitive and ambitious. Intent, though it looks away from existence and the actual, is the most natural and pervasive of things.
The most rudimentary apperception, recognition, or expectation, is already a case of representative cognition, of transitive thought resting in a permanent essence.
In a complex rational society, the principle of mutuality would be transitive rather than strictly symmetrical a woman would cook for a machine designer although she got no machine in return, provided the designer made one, say, for the shoemaker, who could thus supply her with shoes.
Of these tensions the intent in a man's mind at any moment is a living specimen. Experience at that moment may have a significance, a transitive force, that asks to be enshrined in some permanent expression; the more acute and irrevocable the crisis is, the more urgent the need of transmitting to other moments some cognisance of what was once so great.
To substitute faith for knowledge might mean to teach the intellect humility, to make it aware of its theoretic and transitive function as a faculty for hypothesis and rational fiction, building a bridge of methodical inferences and ideal unities between fact and fact, between endeavour and satisfaction.
It is therefore a fruit of experience, an ornament, a proof of animal vitality; but it is no vehicle for experience; it cannot serve the purposes of transitive thought or action.
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