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Portland State University

Systems Science Faculty Publications and Presentations

1978

Dialectics

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Full-Text Articles in Physical Sciences and Mathematics

Dialectics And Catastrophe, Martin Zwick Jan 1978

Dialectics And Catastrophe, Martin Zwick

Systems Science Faculty Publications and Presentations

The three classical principles of Hegelian and Marxist dialectics, (1) the transformation of quantity into quality, (2) the unity and struggle of opposites, and (3) the negation of negation, can be modeled with the Catastrophe Theory of Renép Thorn and E. C. Zeeman, especially with the ‘elementary catastrophes’ known as the cusp and the butterfly.