摘要翻译：
尽管其明显的相关性，意义已经超出了生物学中信息的大多数理论方法。因此，基于对信号的适当解释的功能性反应已经被发射和接收符号之间相关性的概率描述所取代。这种假设导致潜在的悖论，例如与信道相关的最大信息的存在实际上会造成对信号的完全错误的解释。语言进化的博弈论模型使用了香农理论的这一观点，但考虑具身通信代理的其他方法表明，由代理-代理交换产生的正确（有意义的）匹配总是能够实现的，自然系统显然正确地解决了这个问题。香农的理论如何能以这样一种方式扩展，即意义--至少以其最小的指称形式--被适当地纳入？受瑞士语言学家费迪南德·德·索绪尔（Ferdinand de Saussure）提出的{\em交际符号的二重性}概念的启发，我们在这里对度量一致解码的信息量所必需的最小系统进行了完整的描述。研究了我们的发展的几个结果，例如，在自治代理之间的通信中适当传输的大量信息的无用性。
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英文标题：
《Towards a mathematical theory of meaningful communication》
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作者：
Bernat Corominas Murtra, Jordi Fortuny Andreu and Ricard Sol\'e
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最新提交年份：
2013
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分类信息：

一级分类：Computer Science        计算机科学
二级分类：Information Theory        信息论
分类描述：Covers theoretical and experimental aspects of information theory and coding. Includes material in ACM Subject Class E.4 and intersects with H.1.1.
涵盖信息论和编码的理论和实验方面。包括ACM学科类E.4中的材料，并与H.1.1有交集。
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一级分类：Mathematics        数学
二级分类：Information Theory        信息论
分类描述：math.IT is an alias for cs.IT. Covers theoretical and experimental aspects of information theory and coding.
它是cs.it的别名。涵盖信息论和编码的理论和实验方面。
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一级分类：Physics        物理学
二级分类：Adaptation and Self-Organizing Systems        自适应和自组织系统
分类描述：Adaptation, self-organizing systems, statistical physics, fluctuating systems, stochastic processes, interacting particle systems, machine learning
自适应，自组织系统，统计物理，波动系统，随机过程，相互作用粒子系统，机器学习
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一级分类：Quantitative Biology        数量生物学
二级分类：Other Quantitative Biology        其他定量生物学
分类描述：Work in quantitative biology that does not fit into the other q-bio classifications
不适合其他q-bio分类的定量生物学工作
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英文摘要：
  Despite its obvious relevance, meaning has been outside most theoretical approaches to information in biology. As a consequence, functional responses based on an appropriate interpretation of signals has been replaced by a probabilistic description of correlations between emitted and received symbols. This assumption leads to potential paradoxes, such as the presence of a maximum information associated to a channel that would actually create completely wrong interpretations of the signals. Game-theoretic models of language evolution use this view of Shannon's theory, but other approaches considering embodied communicating agents show that the correct (meaningful) match resulting from agent-agent exchanges is always achieved and natural systems obviously solve the problem correctly. How can Shannon's theory be expanded in such a way that meaning -at least, in its minimal referential form- is properly incorporated? Inspired by the concept of {\em duality of the communicative sign} stated by the swiss linguist Ferdinand de Saussure, here we present a complete description of the minimal system necessary to measure the amount of information that is consistently decoded. Several consequences of our developments are investigated, such the uselessness of an amount of information properly transmitted for communication among autonomous agents.
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PDF链接：
https://arxiv.org/pdf/1004.1999