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The limits of the mathematization of the living and the idea of formal morphology of the living world following Husserlian phenomenology
Theory in Biosciences ( IF 1.3 ) Pub Date : 2021-06-06 , DOI: 10.1007/s12064-021-00348-4
Carlos Lobo 1
Affiliation  

Through a presentation and a commentary of Husserl's little-known analyses of mathematization in the life sciences and on morphology, this article proposes three goals. First, it aims at establishing the real meaning and results of the critical analyses of the mathematization in natural sciences and of exactness put forth as a standard of scientific knowledge that we read in the Krisis. As a result, it will appear that these analyses belong to the perspective of a project of a formal morphology, understood as an extension of mathesis. It is then to explain why this project only makes sense in the larger framework of the description of the “correlational a priori,” i.e., the theory of constituting subjectivity, experiencing these morphologies, and engaging, theoretically, by induction, in the typification and categorial elaboration of possible explanatory models. After presenting the contours of this project and its achievements, we will conclude with some conjectural proposals concerning the profile of plausible mathematical structures likely to satisfy the minimal algebraic formal conditions for a model of stability and plasticity of the living and allowing to understand and express the dynamic stratification of morphological levels and the various forms of morphogenesis.



中文翻译:

生命数学化的局限和遵循胡塞尔现象学的生命世界的形式形态学思想

通过对胡塞尔鲜为人知的生命科学和形态学数学化分析的介绍和评论,本文提出了三个目标。首先,它旨在确立对自然科学中数学化的批判性分析的真正意义和结果,以及我们在《危机》中所读到的作为科学知识标准提出的准确性。因此,这些分析似乎属于形式形态学项目的视角,被理解为数学的延伸. 然后解释为什么这个项目只有在描述“先验的相关”的更大框架中才有意义,即构成主体性的理论,体验这些形态,并在理论上通过归纳,在典型化和对可能的解释模型进行分类阐述。在介绍了这个项目的轮廓和它的成就之后,我们将以一些关于可能满足最小代数形式条件的似是而非的数学结构轮廓的推测建议作为生命的稳定性和可塑性模型,并允许理解和表达形态水平的动态分层和形态发生的各种形式。

更新日期:2021-06-07
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