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Randomness and Determinism

Randomness and determinism address how states evolve and whether outcomes are uniquely determined by prior conditions. A process being unpredictable does not alone demonstrate ontological indeterminism.

Type: Concept Domain: Philosophy Mathematics Physics Biology Social Science

Overview

Determinism posits that the initial state of a system and governing dynamical laws fix all subsequent states. In contrast, probabilistic models describe events through probability distributions rather than unique trajectories. Quantum phenomena have often been cited as evidence for physical indeterminism, though deterministic formulations such as Bohmian mechanics also exist. Chaos theory illustrates that deterministic systems with sensitive dependence on initial conditions can generate complex behavior that appears statistically random.

Why it matters

Distinguishing deterministic evolution, epistemic uncertainty, and objective randomness informs methodology across scientific disciplines. These concepts shape approaches to statistical modeling, algorithmic sampling, and causal inference.

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