In the stillness of mathematical logic, is there a place for motion?
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This paper supports the hypothesis that the forms that modern language assume are constrained by the need to represent externally, a wholly mind- internal Narrative of Thought. Beginning with an overview of research into the role of narrative in human culture, we go on to trace the trajectory of language evolution in relation to human cognition. We note the behavioural innovations that occurred less than 2 million years ago and argue that they arose from a greater degree of cooperation than any previous hominin species had displayed, and led to the emergence of intentional communication in the form of protolanguage. However, this stage in hominin cognition was not indicative of a qualitatively distinctive mode of thought, being grounded in subitizing, and that this is reflected in the cultural stasis that characterises the subsequent million years. The evolution of a uniquely human form of cognition, a System 2 type of thinking in Dual Processing Theory, is a more recent event which enabled the creation and retention of narrative structures through the recursive embedding of simple propositions. This new type of thinking and its external representation in linguistic narrative are seen to coevolve with aspects of autobiographical memory, a sense of self, and Theory of Mind. Including an environment leads to strongly connected directed graphs with live and safe markings that offer a cartoon to distinguish a "mathematician" from a "computer." The "matehmattician" works in an unpredicatable environment, while the computer's environment is restricted, for example by a programmer. The graphs express a variety of capacities for computration achievable by people, a drastic restriction compared to a Turing machine. We conjecture that the mathematics of moves punctuated by stillness, coupled to an unpredictable environment, yields a carotton of mathematics as a core function of organisms, essential to their problem solving activity, from bacteria on up.
Abstract
This paper supports the hypothesis that the forms that modern language assume are constrained by the need to represent externally, a wholly mind- internal Narrative of Thought. Beginning with an overview of research into the role of narrative in human culture, we go on to trace the trajectory of language evolution in relation to human cognition. We note the behavioural innovations that occurred less than 2 million years ago and argue that they arose from a greater degree of cooperation than any previous hominin species had displayed, and led to the emergence of intentional communication in the form of protolanguage. However, this stage in hominin cognition was not indicative of a qualitatively distinctive mode of thought, being grounded in subitizing, and that this is reflected in the cultural stasis that characterises the subsequent million years. The evolution of a uniquely human form of cognition, a System 2 type of thinking in Dual Processing Theory, is a more recent event which enabled the creation and retention of narrative structures through the recursive embedding of simple propositions. This new type of thinking and its external representation in linguistic narrative are seen to coevolve with aspects of autobiographical memory, a sense of self, and Theory of Mind. Including an environment leads to strongly connected directed graphs with live and safe markings that offer a cartoon to distinguish a "mathematician" from a "computer." The "matehmattician" works in an unpredicatable environment, while the computer's environment is restricted, for example by a programmer. The graphs express a variety of capacities for computration achievable by people, a drastic restriction compared to a Turing machine. We conjecture that the mathematics of moves punctuated by stillness, coupled to an unpredictable environment, yields a carotton of mathematics as a core function of organisms, essential to their problem solving activity, from bacteria on up.
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