A PHYSICO-MATHEMATICAL RIGOUR 751
D) An ideal map would contain the map of the map, the map of the map of the map . , endlessly. This characteristic was first discovered by Royce. We may call it self-reflexiveness. (4)
Languages share with the map the above four characteristics.
A) Languages have structure, thus we may have languages of elementalistic structure such as 'space' and 'time', 'observer' and 'observed', 'body' and 'soul', 'senses' and 'mind', 'intellect' and 'emotions', 'thinking' and 'feeling', 'thought' and 'intuition'. , which allow verbal division or separation. Or we may have languages of non-elementalistic structure such as, 'space-time', the new quantum languages, 'time-binding', 'different order abstractions', 'semantic reactions'. , which do not involve verbal' division or separation . ; also mathematical languages of 'order', 'relation', 'structure', 'function', 'variable', 'invariant', 'difference', 'addition', 'division'. , which apply to 'senses' and 'mind', that is, can be 'seen' and 'thought of, . (5)
B) If we use languages of a structure non-similar to the world and our nervous system, our verbal predictions are not verified empirically, we cannot be 'rational' or adjusted , . We would have to copy the animals in their wasteful and painful 'trial and error' performances, as we have done all through human history. In science we would be handicapped by semantic blockages, lack of creativeness, lack of understanding, lack of vision, disturbed by inconsistencies, paradoxes , . (6)
C) Words are not the things they represent. (7)
D) Language also has self-reflexive characteristics. We use language to speak about language, which fact introduces serious verbal and semantic difficulties, solved by the theory of multiordinality. (8)
The above unusually simple considerations lead to unexpectedly far-reaching consequences.
A) From (7)* - it follows that the objective levels which include the events, ordinary objects, objective actions, processes, immediate feelings, 'instincts', 'ideas', s.r in general. , represent un-speakable levels, are not words. (9)
B) From (9) - that the use of the 'is' of identity, as applied to objective, un-speakable levels, appears invariably structurally false to facts and must be entirely abandoned. Whatever we might say a happening 'is', it is not: (10)
C) From (10) - structure appears as the only possible link between the objective, un-speakable, and the verbal levels. (11)
D) From (11) - the only possible 'content of knowledge' becomes exclusively structural. (12)
E) From (12) - the only aim of 'knowledge' and science appears as the empirical search for, and verbal formulation of, structure. (13)
F) The only method for acquiring 'knowledge' is found in an empirical investigation of the potentially unknown structure of the world, ourselves included, only afterwards adjusting the structure of languages so that they would be similar, and so of maximum usefulness; instead of the delusional