File:Venn0000.svg

From Wikimedia Commons, the free media repository
Jump to navigation Jump to search

Original file (SVG file, nominally 380 × 280 pixels, file size: 352 bytes)

Captions

Captions

Add a one-line explanation of what this file represents

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.

File history

Click on a date/time to view the file as it appeared at that time.

(newest | oldest) View (newer 10 | ) (10 | 20 | 50 | 100 | 250 | 500)
Date/TimeThumbnailDimensionsUserComment
current22:16, 28 September 2024Thumbnail for version as of 22:16, 28 September 2024380 × 280 (352 bytes)Watchduck (talk | contribs)Thinner lines match other image sets.
15:14, 16 July 2024Thumbnail for version as of 15:14, 16 July 2024400 × 300 (517 bytes)Antonsusi (talk | contribs)validizing, easier code
20:13, 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= }}
(newest | oldest) View (newer 10 | ) (10 | 20 | 50 | 100 | 250 | 500)

You cannot overwrite this file.

File usage on other wikis

The following other wikis use this file:

Metadata

This file contains additional information such as Exif metadata which may have been added by the digital camera, scanner, or software program used to create or digitize it. If the file has been modified from its original state, some details such as the timestamp may not fully reflect those of the original file. The timestamp is only as accurate as the clock in the camera, and it may be completely wrong.

Retrieved from "https://commons.wikimedia.org/w/index.php?title=File:Venn0000.svg&oldid=930037824"