basic_notions:entropy
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basic_notions:entropy [2018/03/27 15:24] jakobadmin |
basic_notions:entropy [2020/06/19 13:04] (current) 91.89.151.102 [Concrete] |
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| <tabbox Intuitive> | <tabbox Intuitive> | ||
| - | Entropy is a measure of chaos or randomness in a system. An important property of entropy is that it increases over time. In practice that every system gets more chaotic over time unless we use energy to bring it into order. | + | Entropy is a measure of chaos or randomness in a system. An important property of entropy is that it increases over time. In practice, every system gets more chaotic over time, unless we use energy to bring it into order. |
| An explanation for this steady increase of entropy is that there are far more possible states of high entropy than there are states of low entropy. | An explanation for this steady increase of entropy is that there are far more possible states of high entropy than there are states of low entropy. | ||
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| * https://gravityandlevity.wordpress.com/2009/04/01/entropy-and-gambling/ | * https://gravityandlevity.wordpress.com/2009/04/01/entropy-and-gambling/ | ||
| + | * [[https://arxiv.org/abs/1705.02223|Entropy? Honest!]] by Toffoli | ||
| <tabbox Concrete> | <tabbox Concrete> | ||
| - | The, in the beginning purely empirical, observation that the observation of a system always increases, can be deduced from general logical arguments as was demonstrated by Jaynes. | + | * [[https://philpapers.org/archive/FRIEA.pdf|ENTROPY: A GUIDE FOR THE PERPLEXED]] by Roman Frigg and Charlotte Werndl |
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| + | The, in the beginning purely empirical, observation that the entropy of a system always increases, can be deduced from general logical arguments as was demonstrated by Jaynes. | ||
| Entropy is a macroscopic notion like temperature and is used when we do not have absolute knowledge about the exact micro configurations of the system. | Entropy is a macroscopic notion like temperature and is used when we do not have absolute knowledge about the exact micro configurations of the system. | ||
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| <tabbox Abstract> | <tabbox Abstract> | ||
| - | <note tip> | + | A great discussion of common misconceptions by E. T. Jaynes can be found here https://pdfs.semanticscholar.org/d7ff/97069799d3a912803ddd2266cdf573c2461d.pdf |
| - | The motto in this section is: //the higher the level of abstraction, the better//. | + | |
| - | </note> | + | |
| - | A great discussion of common misconceptions by Jaynes himself can be found here https://pdfs.semanticscholar.org/d7ff/97069799d3a912803ddd2266cdf573c2461d.pdf | + | See also "[[http://bayes.wustl.edu/etj/articles/stand.on.entropy.pdf|Where do we stand on maximum entropy]]" by Jaynes. |
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