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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
New Foundations for Information Theory: Logical Entropy and Shannon Entropy

New Foundations for Information Theory: Logical Entropy and Shannon Entropy

Ellerman, David

Paperback

Series: Springerbriefs in Philosophy

FictionGeneral ComputersLogic

ISBN10: 3030865517
ISBN13: 9783030865511
Publisher: Springer
Published: Oct 31 2021
Pages: 113
Weight: 0.42
Height: 0.27 Width: 6.14 Depth: 9.21
Language: English
This monograph offers a new foundation for information theory that is based on the notion of information-as-distinctions, being directly measured by logical entropy, and on the re-quantification as Shannon entropy, which is the fundamental concept for the theory of coding and communications.
Information is based on distinctions, differences, distinguishability, and diversity. Information sets are defined that express the distinctions made by a partition, e.g., the inverse-image of a random variable so they represent the pre-probability notion of information. Then logical entropy is a probability measure on the information sets, the probability that on two independent trials, a distinction or dit of the partition will be obtained.

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