File:Venn0010.svg
Original file (SVG file, nominally 380 × 280 pixels, file size: 351 bytes)
Captions
Summary
[edit]One of 16 Venn diagrams, representing 2-ary Boolean functions like set operations and logical connectives:
Operations and relations in set theory and logic
[edit] ∅c |
A = A |
|||||||||||||
Ac Bc |
true A ↔ A |
A B |
A Bc |
AA |
A Bc |
|||||||||
A Bc |
¬A ¬B A → ¬B |
A B |
A B A ← ¬B |
Ac B |
A B |
A¬B |
A = Bc |
A¬B |
A B |
|||||
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 | |
¬B |
A Bc |
A |
(A B)c |
¬A |
Ac B |
B |
Bfalse |
Atrue |
A = B |
Afalse |
Btrue | |||
A ¬B |
Ac Bc |
A B |
A B |
¬A B |
AB |
|||||||||
¬A ¬B |
∅ |
A B |
A = Ac |
|||||||||||
false A ↔ ¬A |
A¬A |
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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. |
more relations | ||||
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Public domainPublic domainfalsefalse |
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
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Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 22:18, 28 September 2024 | 380 × 280 (351 bytes) | Watchduck (talk | contribs) | Shade of red and thinner lines match other image sets. | |
15:17, 16 July 2024 | 400 × 300 (579 bytes) | Antonsusi (talk | contribs) | validizing, easier code | ||
23:13, 1 March 2024 | 380 × 280 (351 bytes) | Watchduck (talk | contribs) | cleaner code and lighter red (overwritten with Pywikibot) | ||
20:44, 24 July 2023 | 380 × 280 (352 bytes) | SVG-image-maker (talk | contribs) | Recoded manually by use of text editor | ||
14:07, 26 July 2009 | 384 × 280 (3 KB) | Watchduck (talk | contribs) | |||
13:25, 26 January 2008 | 615 × 463 (4 KB) | Watchduck (talk | contribs) | {{Information |Description= |Source=eigene arbeit |Date= |Author= Tilman Piesk |Permission= |other_versions= }} | ||
15:58, 22 January 2008 | 615 × 463 (4 KB) | Watchduck (talk | contribs) | {{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= }} |
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File usage on Commons
The following 37 pages use this file:
- Set theory
- Specific diagram types
- File:Relation0000.svg
- File:Relation0001.svg
- File:Relation0010.svg
- File:Relation0011.svg
- File:Relation0100.svg
- File:Relation0101.svg
- File:Relation0110.svg
- File:Relation0111.svg
- File:Relation1000.svg
- File:Relation1001.svg
- File:Relation1010.svg
- File:Relation1011.svg
- File:Relation1100.svg
- File:Relation1101.svg
- File:Relation1110.svg
- File:Relation1111.svg
- File:Venn0000.svg
- File:Venn0001.svg
- File:Venn0010.svg
- File:Venn0011.svg
- File:Venn0100.svg
- File:Venn0101.svg
- File:Venn0110.svg
- File:Venn0111.svg
- File:Venn1000.svg
- File:Venn1001.svg
- File:Venn1010.svg
- File:Venn1011.svg
- File:Venn1100.svg
- File:Venn1101.svg
- File:Venn1110.svg
- File:Venn1111.svg
- File:Venn B minus A.png
- Template:Operations and relations in set theory and logic
- Category:Converse nonimplication
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Width | 380 |
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Height | 280 |