Search or ask a question
Pricing
Login
Sign up
Home
Notebook
BETA
Literature Review
Copilot
Citation generator
Paraphraser
AI Detector
Chrome Extension
Talk with us
Use on ChatGPT
All figures (12)
Figure 7: Negative ‘area’I (X,Y, Z) in ‘Venn diagram.’
Figure 2: h (X,Y ) = h (X|Y ) + h (Y ) = h (Y |X) + h (X).
Table 6: The dit-bit transform from logical entropy to Shannon entropy
Table 5: Comparisons between Shannon and logical entropy formulas
Table 1: Duality between subset logic and partition logic
Table 4: Logical entropy relationships under independence.
Figure 6: Venn diagram for logical entropies.
Table 3: Truth table for atoms in the Information Algebra
Table 7: Abramson’s example giving negative Shannon mutual information I (X,Y, Z).
Table 2: Classical logical probability theory and classical logical information theory
Figure 4: h (X,Y ) = h (X|Y ) + h (Y |X) +m (X,Y )
Figure 3: H (X,Y ) = H (X|Y ) +H (Y ) = H (Y |X) +H (X).
Journal Article
•
DOI
•
Logical information theory: new logical foundations for information theory
[...]
David Ellerman
1
•
Institutions (1)
University of California, Riverside
1
01 Oct 2017
-
Logic Journal of the IGPL