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https://www.wolframscience.com/nks/p249--four-classes-of-behavior/ Four Classes of Behavior: A New Kind of Science | Online by Stephen Wolfram [Page 249] Captions on this page: The behavior of a class 4 two-dimensional cellular automaton often known in... – from A New Kind of Science new kind sciencestephen wolframfourclassesbehavior https://www.wolframscience.com/nks/p342--the-problem-of-satisfying-constraints/ The Problem of Satisfying Constraints: A New Kind of Science | Online by Stephen Wolfram [Page 342] So even if a system at some level follows continuous rules it is still possible for the system to exhibit discrete overall... – from A New Kind of Science new kind sciencestephen wolframproblemsatisfyingconstraints https://www.wolframscience.com/nks/p690--the-significance-of-universality-in-rule-110/ The Significance of Universality in Rule 110: A New Kind of Science | Online by Stephen Wolfram... The Significance of Universality in Rule 110 Practical computers and computer languages have traditionally been the only common... – from A New Kind of Science new kind sciencestephen wolframsignificanceuniversalityrule https://www.wolframscience.com/nks/p694--the-threshold-of-universality-in-cellular-automata/ The Threshold of Universality in Cellular Automata: A New Kind of Science | Online by Stephen... The Threshold of Universality in Cellular Automata By showing that rule 110 is universal, we have established that universality... – from A New Kind of Science new kind sciencecellular automatathresholduniversalityonline https://www.wolframscience.com/nks/p674--implications-of-universality/ Implications of Universality: A New Kind of Science | Online by Stephen Wolfram [Page 674] Implications of Universality When we first discussed cellular automata, Turing machines, substitution systems, register... – from A New Kind of Science new kind sciencestephen wolframimplicationsuniversalityonline https://www.wolframscience.com/nks/p485--the-relationship-of-space-and-time/ The Relationship of Space and Time: A New Kind of Science | Online by Stephen Wolfram [Page 485] contradict the correspondence between space and time that is built into most of present-day physics. So one might wonder how... – from A New Kind of Science new kind sciencestephen wolframrelationshipspacetime https://www.wolframscience.com/nks/p133--the-sequence-of-primes/ The Sequence of Primes: A New Kind of Science | Online by Stephen Wolfram [Page 133] Captions on this page: Features of the sequence of primes. Despite the simplicity of the rule on the... – from A New Kind of Science new kind sciencestephen wolframsequenceprimesonline https://www.wolframscience.com/nks/p441--irreversibility-and-the-second-law-of-thermodynamics/ Irreversibility and the Second Law of Thermodynamics: A New Kind of Science | Online by Stephen... In some cases, the behavior is fairly simple, and the patterns obtained have simple repetitive or nested structures. But in... – from A New Kind of Science new kind sciencesecond lawirreversibilitythermodynamicsonline https://www.wolframscience.com/nks/notes-10-3--algorithmic-information-theory/ Note (a) for Defining the Notion of Randomness: A New Kind of Science | Online by Stephen Wolfram... Algorithmic information theory A description of a piece of data can always be thought of as some kind of program for reproducing... – from A New Kind of Science new kind sciencestephen wolframnotedefiningnotion https://www.wolframscience.com/nks/p132--the-sequence-of-primes/ The Sequence of Primes: A New Kind of Science | Online by Stephen Wolfram [Page 132] The Sequence of Primes In the sequence of all possible numbers 1, 2, 3, 4, 5, 6, 7, 8, ... most are divisible by others -- so... – from A New Kind of Science new kind sciencestephen wolframsequenceprimesonline https://www.wolframscience.com/nks/p407--growth-of-plants-and-animals/ Growth of Plants and Animals: A New Kind of Science | Online by Stephen Wolfram [Page 407] Captions on this page: Maps of where in the space of parameters for the substitution systems on the... – from A New Kind of Science new kind sciencestephen wolframgrowthplantsanimals https://www.wolframscience.com/nks/p1--an-outline-of-basic-ideas/ An Outline of Basic Ideas: A New Kind of Science | Online by Stephen Wolfram [Page 1] The Foundations for a New Kind of Science An Outline of Basic Ideas Three centuries ago science was transformed by the dramatic... – from A New Kind of Science new kind sciencestephen wolframoutlinebasicideas https://www.wolfram-media.com/products/twenty-years-of-a-new-kind-of-science/ Twenty Years of A New Kind of Science Stephen Wolfram discusses major applications and implications of A New Kind of Science, originally published in 2002. Also, his new thinking, building on that... new kind sciencetwenty years https://www.wolframscience.com/nks/p632--higher-forms-of-perception-and-analysis/ Higher Forms of Perception and Analysis: A New Kind of Science | Online by Stephen Wolfram [Page... Higher Forms of Perception and Analysis In the course of this chapter we have discussed in turn each of the major methods of... – from A New Kind of Science new kind sciencestephen wolframhigherformsperception https://www.wolframscience.com/nks/chap-11--the-notion-of-computation/ The Notion of Computation: A New Kind of Science | Online by Stephen Wolfram List of all sections in Chapter 11 from Stephen Wolfram's A New Kind of Science new kind sciencestephen wolframnotioncomputationonline https://www.wolframscience.com/nks/chap-10--processes-of-perception-and-analysis/ Processes of Perception and Analysis : A New Kind of Science | Online by Stephen Wolfram List of all sections in Chapter 10 from Stephen Wolfram's A New Kind of Science new kind sciencestephen wolframprocessesperceptionanalysis https://www.wolframscience.com/nks/chap-12--the-principle-of-computational-equivalence/ The Principle of Computational Equivalence: A New Kind of Science | Online by Stephen Wolfram List of all sections in Chapter 12 from Stephen Wolfram's A New Kind of Science new kind sciencestephen wolframprinciplecomputationalequivalence https://www.wolframscience.com/nks/p481--the-relationship-of-space-and-time/ The Relationship of Space and Time: A New Kind of Science | Online by Stephen Wolfram [Page 481] The Relationship of Space and Time To make an ultimate theory of physics one needs to understand the true nature not only of... – from A New Kind of Science new kind sciencestephen wolframrelationshipspacetime https://www.wolframscience.com/nks/p334--the-phenomenon-of-continuity/ The Phenomenon of Continuity: A New Kind of Science | Online by Stephen Wolfram [Page 334] Captions on this page: A two-dimensional cellular automaton first shown on page 178 with the rule that if... – from A New Kind of Science new kind sciencestephen wolframphenomenoncontinuityonline https://www.wolframscience.com/nks/notes-for-chapters/ Stephen Wolfram: A New Kind of Science | Online—Notes Table of Contents List of notes, by chapter, for Stephen Wolfram's A New Kind of Science. stephen wolframnew kindtable contentsscience https://www.wolframscience.com/nks/p70--more-cellular-automata/ More Cellular Automata: A New Kind of Science | Online by Stephen Wolfram [Page 70] Captions on this page: Nine thousand steps in the evolution of the three-color totalistic cellular... – from A New Kind of Science cellular automatanew kindscience onlinestephen wolfram70