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Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Complex Systems and Emergence: A HolisticSpeech
João Luiz Kohl-Moreira1
1Coordenadoria de Astronomia e AstrofísicaObservatório Nacional - MCT
Warsaw Talk, 2014
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
ExamplesWhat they have in common?Reductionism, Final Theory, Everything TheoryEmergentism: Not ExhaustiveExamples
What is a Complex System?
Complex System ≡ Dynamic System
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
ExamplesWhat they have in common?Reductionism, Final Theory, Everything TheoryEmergentism: Not ExhaustiveExamples
Gas
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
ExamplesWhat they have in common?Reductionism, Final Theory, Everything TheoryEmergentism: Not ExhaustiveExamples
Oceans
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
ExamplesWhat they have in common?Reductionism, Final Theory, Everything TheoryEmergentism: Not ExhaustiveExamples
Snow in a Mountain
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
ExamplesWhat they have in common?Reductionism, Final Theory, Everything TheoryEmergentism: Not ExhaustiveExamples
Ecological System
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
ExamplesWhat they have in common?Reductionism, Final Theory, Everything TheoryEmergentism: Not ExhaustiveExamples
Social Group
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
ExamplesWhat they have in common?Reductionism, Final Theory, Everything TheoryEmergentism: Not ExhaustiveExamples
Ant Colony
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
ExamplesWhat they have in common?Reductionism, Final Theory, Everything TheoryEmergentism: Not ExhaustiveExamples
Planetary SystemGalaxy, Clusters, Spiral Arms
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
ExamplesWhat they have in common?Reductionism, Final Theory, Everything TheoryEmergentism: Not ExhaustiveExamples
Neural System
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
ExamplesWhat they have in common?Reductionism, Final Theory, Everything TheoryEmergentism: Not ExhaustiveExamples
Market
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
ExamplesWhat they have in common?Reductionism, Final Theory, Everything TheoryEmergentism: Not ExhaustiveExamples
Talk Audience
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
ExamplesWhat they have in common?Reductionism, Final Theory, Everything TheoryEmergentism: Not ExhaustiveExamples
What these things have in common?Besides being complex?
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
ExamplesWhat they have in common?Reductionism, Final Theory, Everything TheoryEmergentism: Not ExhaustiveExamples
Doing Science
TaxonomyRelationship
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
ExamplesWhat they have in common?Reductionism, Final Theory, Everything TheoryEmergentism: Not ExhaustiveExamples
Not Reductionism
Since end of 19th Century - success of the Newtonian SystemFeeling that nothing or too few things left to be successfulyexplained by scienceExperiments and new thoughts in the beginning of 20th
Century broke down this feelingNowadays these feelings seem to have returned (particle ofGod, and so on)
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
ExamplesWhat they have in common?Reductionism, Final Theory, Everything TheoryEmergentism: Not ExhaustiveExamples
Not Reductionism
Since end of 19th Century - success of the Newtonian SystemFeeling that nothing or too few things left to be successfulyexplained by scienceExperiments and new thoughts in the beginning of 20th
Century broke down this feelingNowadays these feelings seem to have returned (particle ofGod, and so on)
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
ExamplesWhat they have in common?Reductionism, Final Theory, Everything TheoryEmergentism: Not ExhaustiveExamples
Not Reductionism
Since end of 19th Century - success of the Newtonian SystemFeeling that nothing or too few things left to be successfulyexplained by scienceExperiments and new thoughts in the beginning of 20th
Century broke down this feelingNowadays these feelings seem to have returned (particle ofGod, and so on)
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
ExamplesWhat they have in common?Reductionism, Final Theory, Everything TheoryEmergentism: Not ExhaustiveExamples
Not Reductionism
Since end of 19th Century - success of the Newtonian SystemFeeling that nothing or too few things left to be successfulyexplained by scienceExperiments and new thoughts in the beginning of 20th
Century broke down this feelingNowadays these feelings seem to have returned (particle ofGod, and so on)
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
ExamplesWhat they have in common?Reductionism, Final Theory, Everything TheoryEmergentism: Not ExhaustiveExamples
Theory of Emergence
Try to describe common characteristics of systems calledcomplexIt does not replace already established theoriesIt aggregates them knowledgeNot a Theory of Everything
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
ExamplesWhat they have in common?Reductionism, Final Theory, Everything TheoryEmergentism: Not ExhaustiveExamples
Theory of Emergence
Try to describe common characteristics of systems calledcomplexIt does not replace already established theoriesIt aggregates them knowledgeNot a Theory of Everything
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
ExamplesWhat they have in common?Reductionism, Final Theory, Everything TheoryEmergentism: Not ExhaustiveExamples
Sprout
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
ExamplesWhat they have in common?Reductionism, Final Theory, Everything TheoryEmergentism: Not ExhaustiveExamples
Tornado
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
ExamplesWhat they have in common?Reductionism, Final Theory, Everything TheoryEmergentism: Not ExhaustiveExamples
Avalanche
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
ExamplesWhat they have in common?Reductionism, Final Theory, Everything TheoryEmergentism: Not ExhaustiveExamples
War
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
ExamplesWhat they have in common?Reductionism, Final Theory, Everything TheoryEmergentism: Not ExhaustiveExamples
Speciation
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
ExamplesWhat they have in common?Reductionism, Final Theory, Everything TheoryEmergentism: Not ExhaustiveExamples
Boo
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
ExamplesWhat they have in common?Reductionism, Final Theory, Everything TheoryEmergentism: Not ExhaustiveExamples
The Capitalism
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
ExamplesWhat they have in common?Reductionism, Final Theory, Everything TheoryEmergentism: Not ExhaustiveExamples
The SubjectPsyche
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Same thingHeuristics
Scenario
Complex System ⇐⇒ Emergence ⇐⇒ Complex SystemEmergence ≡ Complex System
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Same thingHeuristics
Scenario
Complex System ⇐⇒ Emergence ⇐⇒ Complex SystemEmergence ≡ Complex System
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Same thingHeuristics
Complex System
Formed by elements of same kindSum of the parts is not sufficient to describe the emergenceThe elements forming the new emergence are themselvescomplex systems
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Same thingHeuristics
Evolution
Every emergence has a beginning, middle and end: it evolves
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Same thingHeuristics
Understanding Emergence / Complex System
Complex systems involves combinationsMathematics: combinatorial analysis
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Same thingHeuristics
Understanding Emergence / Complex System
Complex systems involves combinationsMathematics: combinatorial analysis
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Same thingHeuristics
Intractability
What is the least path for travelling to the 28 brazilian statecapitals?The fastest computer ever should take about 2× the age ofthe universe to find itThis is an intractable problem
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Same thingHeuristics
Intractability
What is the least path for travelling to the 28 brazilian statecapitals?The fastest computer ever should take about 2× the age ofthe universe to find itThis is an intractable problem
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Same thingHeuristics
Intractability
What is the least path for travelling to the 28 brazilian statecapitals?The fastest computer ever should take about 2× the age ofthe universe to find itThis is an intractable problem
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Same thingHeuristics
NP=P
This equation means: is there a way to solve a non-polynomialproblem in a time depending on a polynomial function?In other words: may a computer test all the possiblecombinations in system?Since 1960’s there is a debate about and mathematiciansdidn’t answered this questionUS$ 1 million rewards to whom capable to answer it
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Same thingHeuristics
NP=P
This equation means: is there a way to solve a non-polynomialproblem in a time depending on a polynomial function?In other words: may a computer test all the possiblecombinations in system?Since 1960’s there is a debate about and mathematiciansdidn’t answered this questionUS$ 1 million rewards to whom capable to answer it
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Same thingHeuristics
NP=P
This equation means: is there a way to solve a non-polynomialproblem in a time depending on a polynomial function?In other words: may a computer test all the possiblecombinations in system?Since 1960’s there is a debate about and mathematiciansdidn’t answered this questionUS$ 1 million rewards to whom capable to answer it
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Same thingHeuristics
NP=P
This equation means: is there a way to solve a non-polynomialproblem in a time depending on a polynomial function?In other words: may a computer test all the possiblecombinations in system?Since 1960’s there is a debate about and mathematiciansdidn’t answered this questionUS$ 1 million rewards to whom capable to answer it
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Same thingHeuristics
Neural System
How long to verify all the connections in the brain?
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Same thingHeuristics
Heuristics
In mathematics one uses to apply the so-called HeuristicMethodsEvolutive algorithms, genetic algorithmsAnealingAnt behaviorSet of metaphores
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Same thingHeuristics
Heuristics
In mathematics one uses to apply the so-called HeuristicMethodsEvolutive algorithms, genetic algorithmsAnealingAnt behaviorSet of metaphores
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Same thingHeuristics
Heuristics
In mathematics one uses to apply the so-called HeuristicMethodsEvolutive algorithms, genetic algorithmsAnealingAnt behaviorSet of metaphores
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Same thingHeuristics
Heuristics
In mathematics one uses to apply the so-called HeuristicMethodsEvolutive algorithms, genetic algorithmsAnealingAnt behaviorSet of metaphores
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Same thingHeuristics
Heuristics
In mathematics one uses to apply the so-called HeuristicMethodsEvolutive algorithms, genetic algorithmsAnealingAnt behaviorSet of metaphores
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Same thingHeuristics
Force
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Same thingHeuristics
Oedipus Complex
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Entropy
Mechanics of Evolution
Claude Shannon
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Entropy
Rudolf Clausius
Entropy (1865)2nd Law of Thermodynamics
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Entropy
Robert Fludd’s Watermill
No perpetual motion
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Entropy
Ludwig Boltzmann
S = k logW
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Entropy
Gibbs
S =−k∑i
pi logpi
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Entropy
Shannon: stochastic process
Probability of character “w” being followed by the character“a” forming a word in a languageThen, what the probability of the character, say, “t” comingnext?Then “b”?And so on
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Entropy
Shannon: stochastic process
Probability of character “w” being followed by the character“a” forming a word in a languageThen, what the probability of the character, say, “t” comingnext?Then “b”?And so on
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Entropy
Shannon: stochastic process
Probability of character “w” being followed by the character“a” forming a word in a languageThen, what the probability of the character, say, “t” comingnext?Then “b”?And so on
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Entropy
Shannon: stochastic process
Probability of character “w” being followed by the character“a” forming a word in a languageThen, what the probability of the character, say, “t” comingnext?Then “b”?And so on
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Entropy
Opennheimer
H =−∑i
pi log2 pi
S =−k∑i
pi logpi
By calling its function “Entropy” Shannon applied a heuristics
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Entropy
Opennheimer
H =−∑i
pi log2 pi
S =−k∑i
pi logpi
By calling its function “Entropy” Shannon applied a heuristics
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Entropy
Opennheimer
H =−∑i
pi log2 pi
S =−k∑i
pi logpi
By calling its function “Entropy” Shannon applied a heuristics
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Entropy
Entropy & Information
By doing so he gives a tip to the physicists:Entropy has a relationship with informationHe gives entropy a meaning
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Entropy
Entropy & Information
By doing so he gives a tip to the physicists:Entropy has a relationship with informationHe gives entropy a meaning
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Entropy
Entropy & Information
By doing so he gives a tip to the physicists:Entropy has a relationship with informationHe gives entropy a meaning
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Entropy
Entropy & Modern Sciences
Today virtually all areas of knowledge use the concept ofentropy out of thermodynamic context
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Entropy
Geophysics
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Entropy
Anthropology
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Entropy
Economy
Inflation?Entropy ≡ System of prices
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Entropy
Economy
Inflation?Entropy ≡ System of prices
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Entropy
Ecology
Measure of diversity
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Entropy
Psychoanalysis
Sonia Alberti’s talkFreud’s “Civilization and its Discontents”Metapsychology
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Entropy
Psychoanalysis
Sonia Alberti’s talkFreud’s “Civilization and its Discontents”Metapsychology
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Entropy
Psychoanalysis
Sonia Alberti’s talkFreud’s “Civilization and its Discontents”Metapsychology
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Entropy
This Audience
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Entropy
J. Maynard Smith
In a universe where increasing disorder is a physicallaw, complex organisms (including human beings and,more broadly speaking, social organizations) can persistonly if they behave in a way that tends to increase theirprobability of surviving and reproducing themselves.Thus, an evolutionary-selection argument suggests thatindividuals may tend to maximize the expected value ofsome measure of general survival and reproductive fitnessor sucess.
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Entropy
What is Universe?
The universe we live is the realm of the informationInformation ≡ DisturbanceDisturbance ≡ bias (deviation from normal distribution)Nature, following the increasing entropy’s law, tends to destroyinformationIf we want to exist we must disturbBe subversive
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Entropy
What is Universe?
The universe we live is the realm of the informationInformation ≡ DisturbanceDisturbance ≡ bias (deviation from normal distribution)Nature, following the increasing entropy’s law, tends to destroyinformationIf we want to exist we must disturbBe subversive
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Entropy
What is Universe?
The universe we live is the realm of the informationInformation ≡ DisturbanceDisturbance ≡ bias (deviation from normal distribution)Nature, following the increasing entropy’s law, tends to destroyinformationIf we want to exist we must disturbBe subversive
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Entropy
What is Universe?
The universe we live is the realm of the informationInformation ≡ DisturbanceDisturbance ≡ bias (deviation from normal distribution)Nature, following the increasing entropy’s law, tends to destroyinformationIf we want to exist we must disturbBe subversive
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Entropy
What is Universe?
The universe we live is the realm of the informationInformation ≡ DisturbanceDisturbance ≡ bias (deviation from normal distribution)Nature, following the increasing entropy’s law, tends to destroyinformationIf we want to exist we must disturbBe subversive
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Entropy
What is Universe?
The universe we live is the realm of the informationInformation ≡ DisturbanceDisturbance ≡ bias (deviation from normal distribution)Nature, following the increasing entropy’s law, tends to destroyinformationIf we want to exist we must disturbBe subversive
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Conclusions
Emergence is a self recurrent process that is result ofcombinatorial systems with large number of elements (complexsystems)Heuristics is used to describe emergencesEvery complex system(the emergence issue) has an entropylinked to it, which follows the 2nd Law of ThermodynamicsThe universe is the set of recurrent emergences
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Conclusions
Emergence is a self recurrent process that is result ofcombinatorial systems with large number of elements (complexsystems)Heuristics is used to describe emergencesEvery complex system(the emergence issue) has an entropylinked to it, which follows the 2nd Law of ThermodynamicsThe universe is the set of recurrent emergences
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Conclusions
Emergence is a self recurrent process that is result ofcombinatorial systems with large number of elements (complexsystems)Heuristics is used to describe emergencesEvery complex system(the emergence issue) has an entropylinked to it, which follows the 2nd Law of ThermodynamicsThe universe is the set of recurrent emergences
Kohl-Moreira, J.L. Warsaw Talk, 2014
Complex SystemsEmergence & Complex System
Theory of Information & EntropyConclusions
Conclusions
Emergence is a self recurrent process that is result ofcombinatorial systems with large number of elements (complexsystems)Heuristics is used to describe emergencesEvery complex system(the emergence issue) has an entropylinked to it, which follows the 2nd Law of ThermodynamicsThe universe is the set of recurrent emergences
Kohl-Moreira, J.L. Warsaw Talk, 2014