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Disgrifiad Intersection math
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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
 
 B
 
 Bc
AA
 
 
 Bc
1110 0111 1110 0111
 
 Bc
¬A  ¬B
A → ¬B
 
 B
 B
A ← ¬B
 
Ac B
 
A B
A¬B
 
 
A = Bc
A¬B
 
 
A B
1101 0110 1011 1101 0110 1011
 
Bc
 ¬B
A ← B
 
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
 
 
 Bc
A
 
 
(A  B)c
¬A
 
 
Ac  B
B
 
Bfalse
 
Atrue
 
 
A = B
Afalse
 
Btrue
 
0100 1001 0010 0100 1001 0010
 ¬B
 
 
Ac  Bc
 B
 
 
 B
¬A  B
 
AB
 
1000 0001 1000 0001
¬A  ¬B
 
 
 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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cyfredol23:14, 1 Mawrth 2024Bawdlun y fersiwn am 23:14, 1 Mawrth 2024384 × 280 (3 KB)Watchduckcleaner code and lighter red (overwritten with Pywikibot)
14:06, 26 Gorffennaf 2009Bawdlun y fersiwn am 14:06, 26 Gorffennaf 2009384 × 280 (3 KB)Watchduck
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13:24, 26 Ionawr 2008Bawdlun y fersiwn am 13:24, 26 Ionawr 2008615 × 463 (4 KB)Watchduck{{Information |Description= |Source=eigene arbeit |Date= |Author= Tilman Piesk |Permission= |other_versions= }}
15:57, 22 Ionawr 2008Bawdlun y fersiwn am 15:57, 22 Ionawr 2008615 × 463 (4 KB)Watchduck{{Information |Description=Venn diagrams (sometimes called Johnston diagrams) concerning propositional calculus and set theory |Source=own work |Date=2008/Jan/22 |Author=Tilman Piesk |Permission=publich domain |other_versions= }}
14:26, 22 Ionawr 2008Bawdlun y fersiwn am 14:26, 22 Ionawr 2008480 × 360 (3 KB)Watchduck{{Information |Description= |Source= |Date= |Author= |Permission= |other_versions= }}

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