![Checked content](../../checked-content.png)
File:Venn1101.svg
![File:Venn1101.svg](10084.png)
![]() |
This is a file from the Wikimedia Commons. Information from its description page there is shown below.
Commons is a freely licensed media file repository. You can help. |
Summary
One of 16 Venn diagrams, representing 2-ary Boolean functions like set operations and logical connectives:
![Logical connectives Hasse diagram.svg](../83/8352.png)
![About this image](10085.png)
Operations and relations in set theory and logic
∅c |
A = A |
|||||||||||||
![]() |
![]() |
|||||||||||||
Ac ![]() |
true A ↔ A |
A ![]() |
A ![]() |
A![]() |
A ![]() |
|||||||||
![]() |
![]() |
![]() |
![]() |
|||||||||||
A ![]() |
¬A ![]() A → ¬B |
A ![]() |
A ![]() A ← ¬B |
Ac ![]() |
A ![]() |
A![]() |
A = Bc |
A![]() |
A ![]() |
|||||
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
|||||||||
Bc |
A ![]() A ← B |
A |
A ![]() A ↔ ¬B |
Ac |
¬A ![]() A → B |
B |
B = ∅ |
A![]() |
A = ∅c |
A![]() |
A = ∅ |
A![]() |
B = ∅c |
|
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
|||||||
¬B |
A ![]() |
A |
(A ![]() |
¬A |
Ac ![]() |
B |
B![]() |
A![]() |
A = B |
A![]() |
B![]() |
|||
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
|||||||||
A ![]() |
Ac ![]() |
A ![]() |
A ![]() |
¬A ![]() |
A![]() |
|||||||||
![]() |
![]() |
![]() |
![]() |
|||||||||||
¬A ![]() |
∅ |
A ![]() |
A = Ac |
|||||||||||
![]() |
![]() |
|||||||||||||
false A ↔ ¬A |
A![]() |
These sets or statements have complements or negations. They are shown inside this matrix. |
These relations are statements, and have negations. They are shown in a seperate matrix in the box below. |
more relations | ||||
---|---|---|---|---|
|
Public domainPublic domainfalsefalse |
![]() |
This file 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 usage
The following pages on Schools Wikipedia link to this image (list may be incomplete):
Metadata
This file contains additional information, probably added from the digital camera or scanner used to create or digitize it. If the file has been modified from its original state, some details may not fully reflect the modified file.
Find out more
Through Schools Wikipedia, SOS Children has brought learning to children around the world. Thanks to SOS Childrens Villages, 62,000 children are enjoying a happy childhood, with a healthy, prosperous future ahead of them. Learn more about child sponsorship.