ving been filtered through sensory apparatus thus pondered over by the conscious mind. Reality as perceived in the mind is several transitional layers of processing removed from whatever pure external reality there happens to be. There's even an additional layer if instrumentation is a middleman. So the conscious mind is thus limited in terms of its ability to come to terms with the full scope of really real reality.
Mathematics is the interface between humans and human comprehension, understanding, etc. of the Cosmos at large. Mathematics can tell you in actuality or theoretically the 'what' but never the 'how' or the 'why'. For example, there's Newton's Law of Gravity, but even he realized that that equation just told you 'what', not 'how' or 'why'.
The Non-Reality of Mathematics.
The following examples are some of what I term the non-realities of mathematics.
* Hyper-cubes are a nice abstract concept that mathematics / geometry can incorporate. However, while you might be able to play with real cubes, like dice, hyper-cubes will be forever beyond you.
* Stephen Hawking's concept of negative time. Since IMHO time is just change and change is just motion, then negative time would have to be negative change and negative motion. That doesn't make any sense at all. So while Hawking's negative time might be useful in a mathematical sense, it has no bearing on our reality and can safely be ignored.
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