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A Mathematical Theory of Communication

1948 — entropy, channels, and the limits of reliable transmission

Work

1948 Bell System Technical Journal papers founding information theory — entropy, mutual information, channel capacity, and processing limits.

Primary publication. Shannon, C. E. (1948). A Mathematical Theory of Communication. Bell System Technical Journal, 27(3), 379–423; 27(4), 623–656.

Standard reprint. Shannon & Weaver, The Mathematical Theory of Communication (University of Illinois Press, 1949).

Claims we use in Genesis

  1. Entropy — foundational measure of uncertainty; connects deterministic vs probabilistic processing steps to epistemic uncertainty.
  2. Data processing inequality — formal underpinning of L0L3: deeper processing cannot increase mutual information with ground truth.
  3. Channel capacity — each pipeline step as a channel; U-low / U-med / U-high as informal capacity bands.

Author

Claude Shannon