File:Venn0000.svg

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Summary[edit]

One of 16 Venn diagrams, representing 2-ary Boolean functions like set operations and logical connectives:

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


Operations and relations in set theory and logic[edit]

 
∅c		           
A = A
1111 1111
 
Ac  Bc		 true
A ↔ A		  
A  B		  
A  Bc		 AA
 		  
A  Bc
1110 0111 1110 0111
 
A  Bc		 ¬A  ¬B
A → ¬B		  
A  B		 A  B
A ← ¬B		  
Ac B		  
A B		 A¬B
 		  
A = Bc		 A¬B
 		  
A B
1101 0110 1011 1101 0110 1011
 
Bc		 A  ¬B
A ← B		  
A		 A  B
A ↔ ¬B		  
Ac		 ¬A  B
A → B		  
B		  
B = ∅		 AB
 		  
A = ∅c		 A¬B
 		  
A = ∅		 AB
 		  
B = ∅c
1100 0101 1010 0011 1100 0101 1010 0011
¬B
 		  
A  Bc		 A
 		  
(A  B)c		 ¬A
 		  
Ac  B		 B
 		 Bfalse
 		 Atrue
 		  
A = B		 Afalse
 		 Btrue
 
0100 1001 0010 0100 1001 0010
A  ¬B
 		  
Ac  Bc		 A  B
 		  
A  B		 ¬A  B
 		 AB
 
1000 0001 1000 0001
¬A  ¬B
 		  
∅		 A  B
 		  
A = Ac
0000 0000
false
A ↔ ¬A		 A¬A
 
These sets (statements) have complements (negations).
They are in the opposite position within this matrix. 		These relations are statements, and have negations.
They are shown in a separate matrix in the box below.



This work is ineligible for copyright and therefore in the public domain because it consists entirely of information that is common property and contains no original authorship.

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Date/TimeThumbnailDimensionsUserComment
current20:13, 24 July 2023Thumbnail for version as of 20:13, 24 July 2023380 × 280 (352 bytes)SVG-image-maker (talk | contribs)Recoded manually by use of text editor
14:05, 26 July 2009Thumbnail for version as of 14:05, 26 July 2009384 × 280 (3 KB)Watchduck (talk | contribs)
13:23, 26 January 2008Thumbnail for version as of 13:23, 26 January 2008615 × 463 (4 KB)Watchduck (talk | contribs){{Information |Description= |Source= |Date= |Author= |Permission= |other_versions= }}
15:21, 22 January 2008Thumbnail for version as of 15:21, 22 January 2008615 × 463 (4 KB)Watchduck (talk | contribs){{Information |Description= |Source= |Date= |Author= |Permission= |other_versions= }}
14:44, 22 January 2008Thumbnail for version as of 14:44, 22 January 2008480 × 360 (3 KB)Watchduck (talk | contribs){{Information |Description= |Source= |Date= |Author= |Permission= |other_versions= }}
14:38, 22 January 2008Thumbnail for version as of 14:38, 22 January 2008480 × 360 (3 KB)Watchduck (talk | contribs){{Information |Description= |Source= |Date= |Author= |Permission= |other_versions= }}
14:32, 22 January 2008Thumbnail for version as of 14:32, 22 January 2008480 × 360 (3 KB)Watchduck (talk | contribs){{Information |Description= |Source= |Date= |Author= |Permission= |other_versions= }}
14:25, 22 January 2008Thumbnail for version as of 14:25, 22 January 2008480 × 360 (3 KB)Watchduck (talk | contribs){{Information |Description= |Source= |Date= |Author= |Permission= |other_versions= }}
14:23, 22 January 2008Thumbnail for version as of 14:23, 22 January 2008480 × 360 (3 KB)Watchduck (talk | contribs){{Information |Description= |Source= |Date= |Author= |Permission= |other_versions= }}

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