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The second assumption is that all conscious experience and thus physical structure has a logical or mathematical finite structure. There may be no limit to conscious experience but no single conscious gestalt is infinite. Direct immediate experience is always specific and finite. It is logical in the sense that what we experience is either something or not something. Of course language can be ambiguous or inadequate to express what we experience but the experience itself is always a definite thing and not some other thing.
It is always finite. It may appear to be continuous as in a visual image but this is an illusion constructed from discrete visual receptors in the eye. The brain and nervous system filters out the patterns of these receptors since the aim is to provide the brain with information about the external world. Einstein near the end of his life came to suspect that all physical structure was finite or `digital'. This assumption about consciousness and physical structure is subject to scientific investigation.