Department of Biology, University of Rome "Tor Vergata", Rome, Italy.
Res Viva, Interuniversity Research Center for the Epistemology and History of Life Sciences, Rome, Italy.
Theory Biosci. 2022 Jun;141(2):213-231. doi: 10.1007/s12064-022-00369-7. Epub 2022 May 18.
Contemporary scientific knowledge is built on both methodological and epistemological reductionism. The discovery of the limitations of the reductionist paradigm in the mathematical treatment of certain physical phenomena originated the notion of complexity, both as a pattern and process. After clarifying some very general terms and ideas on biological evolution and biological complexity, the article will tackle to seek to summarize the debate on biological complexity and discuss the difference between complexities of living and inert matter. Some examples of the major successes of mathematics applied to biological problems will follow; the notion of an intrinsic limitation in the application of mathematics to biological complexity as a global, relational, and historical phenomenon at the individual and species level will also be advanced.
当代科学知识建立在方法论和认识论的还原论基础上。在对某些物理现象的数学处理中发现还原论范式的局限性,这就产生了复杂性的概念,既是一种模式也是一个过程。在澄清了关于生物进化和生物复杂性的一些非常一般的术语和概念之后,本文将探讨寻求总结关于生物复杂性的争论,并讨论生命物质和惰性物质复杂性之间的区别。接下来将介绍一些数学应用于生物问题的主要成功案例;还将提出这样一个概念,即在个体和物种水平上,作为一种整体、关系和历史现象,数学在生物复杂性应用方面存在内在局限性。