Transitive Quotes
Suppose the reasoning centers of the brain can get their hands on the mechanisms that plop shapes into the array and that read their locations out of it. Those reasoning demons can exploit the geometry of the array as a surrogate for keeping certain logical constraints in mind. Wealth, like location on a line, is transitive: if A is richer than B, and B is richer than C, then A is richer than C. By using location in an image to symbolize wealth, the thinker takes advantage of the transitivity of location built into the array, and does not have to enter it into a chain of deductive steps. The problem becomes a matter of plop down and look up. It is a fine example of how the form of a mental representation determines what is easy or hard to think.
Steven Pinker
An autonomous electorate, free because it is free from indoctrination and manipulation, would indeed be on a "level of articulate opinion and ideology” which is not likely to be found. Therefore, the concept has to be rejected as "unrealistic”-has to be if one accepts the factually prevailing level of opinion and ideology as prescribing the valid criteria for sociological analysis. And-if indoctrination and manipulation have reached the stage where the prevailing level of opinion has become a level of falsehood, where the actual state of affairs is no longer recognized as that which it is, then an analysis which is methodologically committed to reject transitive concepts commits itself to a false consciousness. Its very empiricism is ideological.
Herbert Marcuse
Operational analysis ... cannot raise the decisive question whether the consent itself was not the work of manipulation-a question for which the actual state of affairs provides ample justification. The analysis cannot raise it because it would transcend its terms toward transitive meaning-toward a concept of democracy which would reveal the democratic election as a rather limited democratic process. Precisely such a non-operational concept is the one rejected by the authors as "unrealistic” because it defines democracy on too articulate a level as the clear-cut control of representation by the electorate-popular control as popular sovereignty.
Herbert Marcuse
The sham cause in physical influence consists in rashly assuming that the commerce of substance and transitive forces is sufficiently knowable from their mere existence. Hence it is not so much a system as rather the neglect of all philosophical system as a superfluity in the argument. Freeing the concept from this defect, we shall have a species of commerce alone deserving to be called real, and from which the whole constituting the world merits being called real, and not ideal or imaginary.
Immanuel Kant
And the mind-body connection was so strong-so strong that the distinction itself was probably false, a vestige of Cartesian metaphysics or earlier religious views of the soul. Mind was one body's life. Memory was mind. And so, by a simple transitive equation, memory equaled life. So that with memory gone, life was gone.
Kim Stanley Robinson