A complex of coefficients of this type is comparable with a matrix such as occurs in linear algebra.
~Heisenberg
A matrix is an array of values, and the elements of an incoming vector can be operated on by some function to produce an output vector.
~Patricia Churchland
Take some range of phenomenal qualities. Assume that these qualities can be arranged according to some abstract n-dimensional space, in a way that is faithful to their perceived similarities and degrees of similarity -- just as, according to Land, it is possible to arrange the phenomenal colors in his three-dimensional color solid. Then my Russellian proposal is that there exists, within the brain, some physical system, the states of which can be arranged in some n-dimensional state space ... And the two states are to be equated with each other: the phenomenal qualities are identical with the states of the corresponding physical system.
~Lockwood
The mathematical machinery of quantum mechanics became that of spectral analysis...
~Steen
Thus the colors with their various qualities and intensities fulfill the axioms of vector geometry if addition is interpreted as mixing; consequently, projective geometry applies to the color qualities.
~Weyl
In view of the preceding section, there is a natural one-to-one correspondence between subspaces and idempotent Hermitian operators. It is in principle possible, therefore, to express all the geometric properties of subspaces in terms of the algebraic properties of their projections.
~Halmos
[So] few and far between are the occasions for forming notions whose specializations make up a continuous manifold, that the only simple notions whose specializations form a multiply extended manifold are the positions of perceived objects and colors.
~Riemann
Now it may be asked why these hidden variables should have so long remained undetected.
~Bohm
Well, obviously the extra dimensions have to be different somehow because otherwise we would notice them.
~Green
The aspects of things that are most important for us are hidden because of their simplicity and familiarity.
~Wittgenstein
