File:Venn1100.svg
![File:Venn1100.svg](https://upload.wikimedia.org/wikipedia/commons/thumb/3/31/Venn1100.svg/400px-Venn1100.svg.png?20240716154325)
Original file (SVG file, nominally 400 × 300 pixels, file size: 614 bytes)
Captions
Captions
Summary
[edit]One of 16 Venn diagrams, representing 2-ary Boolean functions like set operations and logical connectives:
![](https://upload.wikimedia.org/wikipedia/commons/thumb/3/3e/Logical_connectives_Hasse_diagram.svg/800px-Logical_connectives_Hasse_diagram.svg.png)
Operations and relations in set theory and logic
[edit] ∅c |
A = A |
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Ac |
true A ↔ A |
A |
A |
A |
A |
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A |
¬A A → ¬B |
A |
A A ← ¬B |
Ac |
A |
A |
A = Bc |
A |
A |
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Bc |
A A ← B |
A |
A A ↔ ¬B |
Ac |
¬A A → B |
B |
B = ∅ |
A |
A = ∅c |
A |
A = ∅ |
A |
B = ∅c | |
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¬B |
A |
A |
(A |
¬A |
Ac |
B |
B |
A |
A = B |
A |
B | |||
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A |
Ac |
A |
A |
¬A |
A |
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¬A |
∅ |
A |
A = Ac |
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false 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 |
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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 | |
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current | 15:43, 16 July 2024 | ![]() | 400 × 300 (614 bytes) | Antonsusi (talk | contribs) | Valid SVG |
23:12, 1 March 2024 | ![]() | 380 × 280 (351 bytes) | Watchduck (talk | contribs) | cleaner code and lighter red (overwritten with Pywikibot) | |
20:54, 24 July 2023 | ![]() | 380 × 280 (352 bytes) | SVG-image-maker (talk | contribs) | Redrew with a text editor | |
14:12, 26 July 2009 | ![]() | 384 × 280 (3 KB) | Watchduck (talk | contribs) | ||
13:34, 26 January 2008 | ![]() | 615 × 463 (4 KB) | Watchduck (talk | contribs) | {{Information |Description= |Source=eigene arbeit |Date= |Author= Tilman Piesk |Permission= |other_versions= }} | |
16:07, 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 35 pages use this file:
- Set theory
- File:JohnstonDiagram NotA.svg
- 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
- Template:Operations and relations in set theory and logic
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Width | 400px |
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Height | 300px |