continuum hypothesis
hypothesis that no set has a cardinality between that of the integers and that of the real numbers
| rdfs:label |
"continuum hypothesis"@en
|
|
skos:alt |
"CH"@en
"Hilbert's first problem"@en
|
| schema:description |
"hypothesis that no set has a cardinality between that of the integers and that of the real numbers"@en
|
|
schema:date |
"2026-10-19T22:22:53+00:00"^^xsd:dateTime |
| schema:version | 2558951164 |
| wikibase:identifiers | 21 |
| wikibase:sitelinks | 43 |
| wikibase:statements | 44 |
| p:P10283 | wd:statement/Q208416-36002F33-3AC7-4286-A57D-CEE6B0D5F84F |
| p:P10376 | wd:statement/Q208416-97873a42-453e-0d81-53e4-54b183f43729 |
| wd:statement/Q208416-eb478e5f-44fd-eeb9-a27e-fa775d408083 | |
| p:P1051 | wd:statement/Q208416-7DA8435E-79C5-4F05-80E8-D591269E6C99 |
| p:P1136 | wd:statement/Q208416-2af220d0-4f9b-ae90-b133-4de1c6200482 |
| wd:statement/Q208416-5d879e26-423c-df31-6aaf-c01571702e84 | |
| p:P138 | wd:statement/Q208416-3a1d7918-45bc-171e-4f09-c418fd3f03ec |
| p:P14039 | wd:statement/Q208416-589555C1-33D0-4D05-AD4D-F91EB8F49645 |
| p:P1417 | wd:statement/Q208416-56a227f6-4492-531b-5345-257ed4c313e9 |
| p:P14434 | wd:statement/Q208416-d0263093-a372-40f1-be46-d5134a4e1d6c |
| p:P1552 | wd:statement/Q208416-a2e4edae-4e44-2f3c-7583-e0d50901de2c |
| p:P1813 | wd:statement/Q208416-62a17f0c-496f-3a78-90e9-58cfb467c303 |
| wd:statement/Q208416-656e3d45-4543-4a92-d48a-972ba51ad8f4 | |
| wd:statement/Q208416-71eed093-43d8-39c9-42cd-61d57c434d0b | |
| p:P227 | wd:statement/Q208416-8f037e19-4d34-d392-2d5f-2829d74a992c |
| wd:statement/Q208416-bb71ea7d-49b3-ee53-4b20-47848fe1b1f5 | |
| p:P2534 | wd:statement/Q208416-68BCA6EE-DB5D-4028-8E9E-37B8860AF049 |
| p:P2579 | wd:statement/Q208416-86f99bc2-4f9e-9b87-bc2d-425f362fff98 |
| p:P2812 | wd:statement/Q208416-E8626DC1-BB3C-40DB-928A-F4CD98F80DE8 |
| p:P2924 | wd:statement/Q208416-70AAE0E1-1A82-45A7-BDCC-FF4FAD5A4D8F |
| p:P31 | wd:statement/Q208416-E8C75722-BFFD-41A9-806E-E1F8E04DBB3C |
| wd:statement/Q208416-b3158e07-4363-9846-5448-1c9d5fc4f34c | |
| p:P3123 | wd:statement/Q208416-940FA641-B611-4928-8FB7-A5F1E0B8E5A8 |
| p:P3219 | wd:statement/Q208416-6443C9D5-1072-4551-A22A-6D14BDBB57E3 |
| p:P3285 | wd:statement/Q208416-76f8c93a-40d5-d6e4-bf54-9d8c86da98da |
| p:P3417 | wd:statement/Q208416-2773F0A0-A23E-40A2-93F9-B23125E24B9E |
| p:P361 | wd:statement/Q208416-0b3b5581-4540-3fc6-6332-7ae2966e6274 |
| wd:statement/Q208416-6DF0519E-E780-452B-A0CA-1582608D4541 | |
| wd:statement/Q208416-B92D9FAA-17B3-45CE-94DA-BF622A23D2B2 | |
| p:P3827 | wd:statement/Q208416-B47BB32D-B598-43AB-9753-DAEB31325D09 |
| p:P4215 | wd:statement/Q208416-b017972b-4063-60f2-807f-97c4e5d7252a |
| p:P4746 | wd:statement/Q208416-C5813D2A-B655-4E7E-8FAA-AD9665F06233 |
| p:P575 | wd:statement/Q208416-24101bc6-480f-1af2-1d9e-16f49cf67b18 |
| p:P61 | wd:statement/Q208416-a7dbe7df-4cc4-57ef-d30d-93bff238bf7c |
| p:P6104 | wd:statement/Q208416-2B88F8B7-16E1-44BB-A0BA-031132990B02 |
| p:P6366 | wd:statement/Q208416-4F83881D-0B67-4CBD-899C-D1482DED2D94 |
| p:P646 | wd:statement/Q208416-8544EEFC-54F6-4FCB-A6AA-EA68363230F2 |
| p:P6781 | wd:statement/Q208416-ba371b7b-460d-9aa0-9e82-4c05f54d8a67 |
| p:P6900 | wd:statement/Q208416-36f3f323-49aa-d817-78d2-02fc6c9aa5d6 |
| p:P691 | wd:statement/Q208416-d5f02e40-4c72-99b7-582c-da628cb8d6e7 |
| p:P7235 | wd:statement/Q208416-36ccdee0-48ee-0b46-a837-cce1cd01d79a |
| wd:statement/Q208416-4dc54583-4ec2-5103-6f7b-eb208784fb70 | |
| wd:statement/Q208416-54640df4-4218-d77e-12e3-7b0778f2b3d5 | |
| wd:statement/Q208416-b7812d29-492c-7481-c233-c8fbc9c07c51 | |
|
p:direct- |
<https:/ |
|
<https:/ |
|
|
p:direct- |
<http:/ |
|
p:direct- |
<https:/ |
| wdt:P10283 | "C96488702" |
| wdt:P10376 | "engineering/continuum-hypothesis" |
| "mathematics/continuum-hypothesis" | |
| wdt:P1051 | "7137" |
| wdt:P1136 | Paul Cohen |
| Kurt Gödel | |
| wdt:P138 | cardinality of the continuum |
| wdt:P14039 | list of values as qualifiers |
| wdt:P1417 | "topic/continuum-hypothesis" |
| wdt:P14434 | Zermelo–Fraenkel set theory with choice |
| wdt:P1552 | independence |
| wdt:P1813 |
"CH"@en
|
| wdt:P227 | "4481570-0" |
| "4743683-9" | |
| wdt:P2534 | "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi mathvariant="normal">ℵ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">≤</mo><mi>κ</mi><mo stretchy="false">≤</mo><msup><mn>2</mn><mrow data-mjx-texclass="ORD"><msub><mi mathvariant="normal">ℵ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msup><mo stretchy="false">⇒</mo><mi>κ</mi><mo stretchy="false">=</mo><msub><mi mathvariant="normal">ℵ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">∨</mo><mi>κ</mi><mo stretchy="false">=</mo><msup><mn>2</mn><mrow data-mjx-texclass="ORD"><msub><mi mathvariant="normal">ℵ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msup></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| wdt:P2579 | set theory |
| wdt:P2812 | "ContinuumHypothesis" |
| wdt:P2924 | "2093304" |
| wdt:P31 | axiom |
| scientific hypothesis | |
| wdt:P3123 | "continuum-hypothesis" |
| wdt:P3219 | "hypothese-du-continu" |
| wdt:P3285 | "03E50" |
| wdt:P3417 | "Continuum-Hypothesis" |
| wdt:P361 | Hilbert's problems |
| list of axioms | |
| list of theorems | |
| wdt:P3827 | "continuum-hypothesis" |
| wdt:P4215 | "continuum hypothesis" |
| wdt:P4746 | "138102" |
| wdt:P575 | "1877-01-01T00:00:00+00:00"^^xsd:dateTime |
| wdt:P61 | Georg Cantor |
| wdt:P6104 | WikiProject Mathematics |
| wdt:P6366 | "96488702" |
| wdt:P646 | "/m/01qqb" |
| wdt:P6781 | "Continuum_Hypothesis" |
| wdt:P6900 | "連続体仮説" |
| wdt:P691 | "ph121007" |
| wdt:P7235 | "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>κ</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">∨</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML | |
| "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi mathvariant="normal">ℵ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML | |
| "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mn>2</mn><mrow data-mjx-texclass="ORD"><msub><mi mathvariant="normal">ℵ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msup></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML | |
| "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>κ</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML | |
| "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">∨</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML | |
| "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi mathvariant="normal">ℵ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML | |
| "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mn>2</mn><mrow data-mjx-texclass="ORD"><msub><mi mathvariant="normal">ℵ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msup></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
Download as: