File:Venn0001.svg

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Original file ‎(SVG file, nominally 384 × 280 pixels, file size: 3 KB)

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Summary

Description
English: 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

 
∅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.
Date
Source Own work
Author Watchduck
SVG development
InfoField
 
The SVG code is valid.
 
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2,908 byte

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280 pixel

width

384 pixel

media type

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checksum

a85bb40a017725cd08586a1c770f055653854c0b

determination method or standard: SHA-1

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Date/TimeThumbnailDimensionsUserComment
current15:05, 23 January 2025Thumbnail for version as of 15:05, 23 January 2025384 × 280 (3 KB)Watchduckcorrect size

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