Shannon information... [which] he also called entropy or ... involves things (...Shannon ...messages) and probabilities for those things. - Julian Barbour
" "Shannon information... [which] he also called entropy or ... involves things (...Shannon ...messages) and probabilities for those things.
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About Julian Barbour
Julian Barbour (born in 1937) is a British physicist with research interests in quantum gravity and the history of science.
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The concepts of message and probability enable one, for a definite source of <math>N</math> messages, to define Shannon’s information. If <math>p_i,\quad i = 1, 2, ..., N</math>, is the relative probability of message <math>i</math> and <math>\log p_i</math> is its base-2 logarithm, then the information <math>I</math> of the given source is(1) <math>\quad I = - \sum_{k=1}^N p_i \log p_i</math>.The minus sign makes <math>I</math> positive because all probabilities, which are necessarily greater than or equal zero, are less than unity (their sum being<math>\textstyle \sum_{i}^N p_i = 1</math>, so that their logarithms are all negative.
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There is nothing in between... [NOWs]. Each are separate snapshots. ...These [real photographs] ...are not changed by ...reversing the order ...It may be convenient for ...for the way we think about the world and for ordering our experiences, to suppose that these come in a certain order; but ...the picture is not changed... the snapshot is... self-contained.
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