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MENTAL MODEL · M13173

Chance versus Randomness

Chance versus Randomness
TechnicalHigh supportScientific Methodology
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Updated 2026-09-10

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INTRODUCTION

English translation pending.

CORE DEFINITION

The entry examines the relation between randomness and objective chance, that is, physical probability. In ordinary usage randomness means that outcomes occur in a disorderly way, are unpredictable, or happen by accident, and these three claims differ from one another while each connects to probability in some way. Formal treatments include Martin-Lof randomness and Kolmogorov complexity, which characterize randomness for sequences rather than for single outcomes.

SCAFFOLDING EFFECT

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- Split the concepts: separate the disorderly, unpredictable, and accidental senses of randomness. - Calibrate attribution: decide whether objective chance or mere ignorance is doing the explanatory work. - Choose models: test whether a sequence is truly random before selecting a probability model.

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There are two formal routes to randomness. The test-based route requires a random sequence to pass every effective statistical test; the complexity route requires the sequence to be incompressible. The two coincide under prefix-free conditions. Their link to chance rests on a common thesis: random processes are chance processes, and random outcomes have non-zero chance.

MINIMUM ACTION

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Source support: Explicit

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    plato.stanford.eduhttps://plato.stanford.edu/entries/chance-randomness/ZH · Explicit
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