SOME HISTORICAL NOTES
The last 350 pages of A New Kind of Science contain 1350 notes covering a wide range of issues. About 150 of those notes are primarily historical.
Given here are a few such notes of particularly general interest. Almost every note is based on extensive historical research and scholarship.
At a future date, we may attempt to make available Dr. Wolfram's primary research materials. Scholars who wish to have further information now
about specific points in the notes may contact us.
Notes for Chapter 1: The Foundations for a New Kind of Science Mathematics in science  History of programs and nature  Complexity and theology  Complexity and science
Notes for Chapter 2: The Crucial Experiment The concept of rules  Atomism  History of cellular automata  Close approaches  My work on cellular automata
Notes for Chapter 3: The World of Simple Programs History of experimental mathematics
Notes for Chapter 4: Systems Based on Numbers History of numbers  History of primes  History of number theory  History of iterated maps
Notes for Chapter 5: Two Dimensions and Beyond History [of 2D cellular automata]  History of fractals
Notes for Chapter 6: Starting From Randomness History [of emergence of order]  History [of finite automata]
Notes for Chapter 7: Mechanisms in Programs and Nature History [of universality of behavior]  History [of randomness]  Sources of randomness  History of chaos theory  Threebody problem
Notes for Chapter 8: Implications for Everyday Systems History of snowflake studies  History of crystal growth  NavierStokes equations  Models of turbulence  Chaos theory and turbulence  History [of biological complexity]  History [of theoretical biology]  History [of shell models]  History of embryology  Parametrizations of growth  History [of shell patterns]  Randomness in markets  Models of markets
Notes for Chapter 9: Fundamental Physics History of thermodynamics  History of ultimate models  Mechanistic models  History of discrete space  Space and its contents  History [of the relationship of space and time]  Causal networks  History of relativity  History [of elementary particles]  History [of gravity theory]  Discrete spaces  Pure gravity  Quantum gravity  History [of quantum theory]  Quantum field theory  Vacuum fluctuations  Quantum measurement
Notes for Chapter 10: Processes of Perception and Analysis History [of defining randomness]  History [of defining complexity]  History [of data compression]  History [of irreversible data compression]  History [of visual perception]  History [of statistics]  History [of cryptography]  Standard mathematical functions  History [of logic]  History [of ideas about thinking]  Neural network models  Languages
Notes for Chapter 11: The Notion of Computation History of computing  History of universality  History [of universal 1D cellular automata]  [Universality in] 2D cellular automata
Notes for Chapter 12: The Principle of Computational Equivalence Church’s Thesis  Continuum and cardinality  Continuous computation  Constructible reals  History [of computational irreducibility]  Exact solutions  History [of free will]  History [of undecidability]  Mathematical impossibilities  History [of foundations of math]  Models of mathematics  Hilbert's tenth problem  Diophantine equations  Generalization in mathematics  Logic in languages  Empirical metamathematics  Defining intelligence  Defining life  History [of extraterrestrial intelligence]  Theories of communication  Mathematical notation  Forms of artifacts  Purpose in archeology  Teleology  SETI  Messages to send  Science fiction  Applications of randomness  Searching for technology  Chemistry  Animism  Universe as intelligent  Philosophical implications
