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... to restore theology to the mainstream of science
Table of contents
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Page 1: What are the limits to language? [lang01WhatLimits]
Mystical language stresses experiences so sublime that they cannot be put into words. This implies a boundary to language. Goedel was able to place some broad boundaries on language, and these serve as a guide to our general understanding of language.
Page 2: The symmetry of affirmation and denial [lang02Symmetry]
Aquinas, following ancient tradition, conceded that God was so large that we could not say anything positive about it, but say only what it is not? But are these two bodies different, or is an affirmation as good as a denial for conveying information about an entity?
Page 3: Language and error [lang03Error]
It would be nice to have a completely error free language which could convey perfectly human thought from one person to another. There are two sources of error: errors in the recognition of symbols, and errors in recognition of the meaning of symbols.
Page 4: Language and error [lang04Error]
It would be nice to have a completely error free language which could convey perfectly human thought from one person to another. There are two sources of error: errors in the recognition of symbols, and errors in recognition of the meaning of symbols.
Page 5: Language and control [lang05Control]
Too much error, and language would fail. The space of error is from one point of view larger than the space of truth. From this point of view it is easier to fall into error than to stick to the truth. Control processes detect error and correct it. From the point of view of control, the space of truth is larger than the error, and so acts as a potential opposing the potential for error.
Page 6: The evolution of language [lang06Evolution]
The balance between error and control means that a small level of error persists. This error explores the space around the truth, sometimes finding new truths which may, in the long run, displace the old. The result is the slow evolution of species, and the much faster evolution of language. The distance between languages, as between species, can be used as a measure of the time since they parted from their common root.
Page 7: Language in the transfinite network [lang07Net]
A quick fit of the previous observations about language to the transfinite network, the model that describes the formal backbone of this site. The network allows us to understand the interaction between the competing powers of order and chaos in a complex system. These powers contribute to both the unification and differentiation of languages.
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