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Shannon stated that the amount of information, H, transmitted by a series of n characters is given by: where W is the size of the alphabet. Hence, for the previous ASCII example, the amount of information contained in a single ASCII
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“In the early part of the ninth century, Muhammad ibn Musa al-Khwarizmi, a mathematician working in Baghdad, wrote a seminal textbook in which he highlighted the usefulness of restoring a quantity being subtracted (like 2, above) by adding it to the other side of an equation. He called this process al-jabr (Arabic for “restoring”), which later morphed into “algebra.” Then, long after his death, he hit the etymological jackpot again. His own name, al-Khwarizmi, lives on today in the word “algorithm.”
― The Joy Of X: A Guided Tour of Math, from One to Infinity
― The Joy Of X: A Guided Tour of Math, from One to Infinity
“Any sufficiently advanced technology is indistinguishable from magic.”
― Profiles of the Future: An Inquiry into the Limits of the Possible
― Profiles of the Future: An Inquiry into the Limits of the Possible
“As far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality. Albert Einstein”
― Farewell to Reality: How Modern Physics Has Betrayed the Search for Scientific Truth
― Farewell to Reality: How Modern Physics Has Betrayed the Search for Scientific Truth
“Finally, and most importantly, we must be concerned about the implications of multiverse theories for the future development of science itself. The multiverse theorists know that they are on weak ground regarding the Testability Principle, and rather than admit that their theories are not science, they argue instead that the rules of science must be adapted to accommodate this kind of metaphysical speculation. They want to change the very definition of science. This is a very slippery slope.”
― Farewell to Reality: How Modern Physics Has Betrayed the Search for Scientific Truth
― Farewell to Reality: How Modern Physics Has Betrayed the Search for Scientific Truth
Rodrigo’s 2025 Year in Books
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