Historical-Dialectical Exact Sciences

The extension of historical‑dialectical method to the exact sciences—mathematics, statistics, computer science, and formal logic. It challenges the view that these fields are purely ahistorical and context‑free, showing how they have been shaped by material needs (e.g., calculus from navigation and ballistics) and how internal contradictions (e.g., set theory paradoxes, incompleteness theorems) have driven foundational debates. It also examines how exact sciences are used ideologically (e.g., statistics in racial science) and how their abstract categories relate to concrete social relations.

Historical-Dialectical Exact Sciences Example: “Historical‑dialectical exact sciences examine how the real numbers were developed in response to 19th‑century analysis, and how contradictions in set theory led to multiple alternative foundations—each with different philosophical and practical implications.”

Historical-Dialectical Exact Sciences by Abzugal May 1, 2026