If a maximally efficient logical notation system, designed to express a system that can be denoted efficiently by our contemporary logical notation system and which was more efficient than the current system, was feasible then equivalences would be possible only by going outside the notational system because equivalences are evidence of inefficiencies in the notational system. Therefore a maximal notation system cannot be run with a maximally efficient deductive system. However, this does not mean that notational-deductive systems that are more efficient than our current notational-deductive system are impossible. I do think that it implies that the degree of efficiency for a logical notational system would be roughly inversely proportional to the efficiency of the deductive processes that could be preformed on the system. ------------------------------------------ Artificial General Intelligence List: AGI Permalink: https://agi.topicbox.com/groups/agi/T8aa4e05cee9059d3-M1b5739bde5f952c1d452fa5a Delivery options: https://agi.topicbox.com/groups/agi/subscription
