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File:Logical connectives Hasse diagram.svg

From Wikipedia, the free encyclopedia

Original file(SVG file, nominally 744 × 1,052 pixels, file size: 201 KB)

Summary

Rhombic dodecahedron:

Logical connectives:

input Ainput Boutput f(A,B)X and ¬XA and B¬A and BBA and ¬BAA xor BA or B¬A and ¬BA xnor B¬A¬A or B¬BA or ¬B¬A or ¬BX or ¬X
X or ¬X¬A or ¬BA or ¬B¬A or BA or B¬B¬AA xor BA xnor BAB¬A and ¬BA and ¬B¬A and BA and BX and ¬X
(Logical connectives table and Hasse diagram)


Description
The sixteen logical connectives ordered in a Hasse diagram. They are represented by: The nodes are connected like the vertices of a 4 dimensional cube. The light blue edges form a rhombic dodecahedron - the convex hull of the tesseract's vertex-first shadow in 3 dimensions.
This SVG was created with Inkscape.
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Author
Watchduck
You can name the author as "T. Piesk", "Tilman Piesk" or "Watchduck".
Permission
(Reusing this file)
Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.
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15 May 2009

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File history

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(newest | oldest) View (newer 10 | ) (10 | 20 | 50 | 100 | 250 | 500)
Date/TimeThumbnailDimensionsUserComment
current14:17, 13 February 2023Thumbnail for version as of 14:17, 13 February 2023744 × 1,052 (201 KB)TeunSpaansupdated to newer inkscape version, hopefully alll previous issues solved
14:14, 24 July 2021Thumbnail for version as of 14:14, 24 July 2021744 × 1,052 (201 KB)Watchduckrevert to last version by myself
14:59, 20 June 2021Thumbnail for version as of 14:59, 20 June 2021744 × 1,052 (193 KB)Mechachleopteryxwidened xor symbol
14:38, 20 June 2021Thumbnail for version as of 14:38, 20 June 2021744 × 1,052 (193 KB)Mechachleopteryxchanged xor sign to /nleftrightarrow, changed truth and false to bottom and top. changed not to logical not sign.
14:33, 20 June 2021Thumbnail for version as of 14:33, 20 June 2021744 × 1,052 (201 KB)MechachleopteryxReverted to version as of 19:25, 7 May 2010 (UTC)
14:27, 20 June 2021Thumbnail for version as of 14:27, 20 June 2021744 × 1,052 (193 KB)Mechachleopteryxchanged xor sign to /nleftrightarrow, changed truth and false to bottom and top. changed not to logical not sign.
14:24, 20 June 2021Thumbnail for version as of 14:24, 20 June 2021744 × 1,052 (201 KB)MechachleopteryxReverted to version as of 19:25, 7 May 2010 (UTC)
14:17, 20 June 2021Thumbnail for version as of 14:17, 20 June 2021744 × 1,052 (193 KB)Mechachleopteryxchanged xor sign to /nleftrightarrow, changed truth and false to bottom and top. changed not to logical not sign.
19:25, 7 May 2010Thumbnail for version as of 19:25, 7 May 2010744 × 1,052 (201 KB)Watchduckchanged XOR sign from <math>\dot\or</math> to <math>\oplus</math>
17:00, 24 August 2009Thumbnail for version as of 17:00, 24 August 2009744 × 1,052 (206 KB)Watchduck
(newest | oldest) View (newer 10 | ) (10 | 20 | 50 | 100 | 250 | 500)

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