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Information Theory

Information theory is the mathematical study of uncertainty, data encoding, and communication over channels.

Type: Field Domain: Mathematics Technology Philosophy Era: 1948 — 1960

Overview

Shannon’s 1948 framework measures statistical uncertainty, not meaning. For a discrete memoryless channel, suitable codes operating below capacity can make decoding error arbitrarily small as block length grows. This is a result under a specified model, not a promise of error-free finite messages.

Why it matters

In a study of fly vision, Strong and colleagues used entropy estimates to examine how spike timing conveys information about a moving stimulus. This connects a statistical information measure to experimental recordings, with conclusions tied to the stimulus and sampling choices.

Where it leads

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