SCIENCE AND SANITY - online book

An Introduction To Non-aristotelian Systems And General Semantics.

Home | About | Philosphy | Contact | Search




ON FUNCTION
139
Because of structural and the above symbolic considerations based on A negative, non-identity premises, these conclusions appear as final; and, perhaps, for the first time bring to a focus the age-long problem of the subject-matter, character, value, and, in general, the status of the older 'metaphysics' in human economy. From the non-el, structural, and semantic point of view, the problems with which the older 'metaphysics' and 'philosophy' dealt, should be divided into two quite definite groups. One would include 'epistemology', or the theory of knowledge, which would ultimately merge with scientific and non-el psycho-logics, based on general semantics, structure, relations, multi-dimensional order, and the quantum mechanics of a given date; and the rest would represent semantic disturbances, to be studied by a generalized up-to-date psychiatry.
Obviously, considerations of structure, symbolism, sanity., involve the solutions of such weighty problems as those of 'fact', 'reality', 'true', 'false'., which are completely solved only by the consciousness of abstracting, the multiordinality of terms.,in general, a-system.
Let me repeat the rough definition of a propositional function as an oo-valued statement containing variables and characterized by the fact that it is ambiguous, neither true nor false.
How about the terms we deal with in life? Are they all used as one-valued terms for constants of some sort, or do we have terms which are inherently oo-valued or variable? How about terms like 'mankind', 'science', 'mathematics', 'man|, 'education', 'ethics', 'polities', 'religion', 'sanity', 'insanity*, 'iron', 'wood', 'apple', 'object', and a host of other terms ? Are they labels for one-valued constants or labels for oo-valued stages of processes. Fortunately, here we have no doubt.
We see that a large majority of the terms we use are names for oo-valued stages of processes with a changing content. When such terms are used, they generally carry different or many contents. The terms represent oo-valued variables, and so the statements represent oo-valued propositional functions, not one-valued propositions, and, therefore, in principle, are neither true nor false, but ambiguous.
Obviously, before such propositional functions can become propositions, and be true or false, single values must be assigned to the variables by some method. Here we must select, at least, the use of co-ordinates. In the above cases, the 'time' co-ordinate is sufficient. Obviously, 'science 1933' is quite different from 'science 1800' or 'science 300 b.c.'.
The objection may be made that it would be difficult to establish means by which the use of co-ordinates could be made workable. It