Constructive Fractalism: A Philosophy of Science for Modeling Adaptive Systems

This paper introduces Constructive Fractalism, a complete philosophical system for the generation of knowledge, designed to address the limitations of classical scientific philosophies in modeling complex, adaptive, and self-observing systems. We argue that 20th-century philosophies of science, such as Popper's falsification and Kuhn's paradigms, are primarily descriptive or demarcational, lacking a prescriptive, constructive methodology for building knowledge. Constructive Fractalism provides such a system, integrating a novel epistemology, methodology, and ontology. Its epistemology is "Testing is Building," a synthesis of empiricism (the "test") and constructivism (the "build"). Its methodology is the Fractal Iteration Log (FIL), a formal three-state cybernetic process (OPEN -> CLOSE -> REPAIR) that operationalizes this epistemology. Its ontology, the Fractal Architecture of Learning (FAL), posits that the "what" of adaptive reality is a recursive, fractal process identical to the "how" of its discovery. This identity between the observer's methodology (FIL) and the observed system's architecture (FAL) establishes a rigorous framework for second-order cybernetics, enabling the formal transfer of knowledge across seemingly disparate scientific domains.