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A set of five independent postulates for Boolean algebras, with application to logical constants
| Content Provider | Semantic Scholar |
|---|---|
| Author | Sheffer, Henry M. |
| Copyright Year | 1913 |
| Abstract | Postulate-sets for determining the class of Boolean algebrasf have been given by Schröder,^ Whttehead,§ and Huntington.|| Schroder's set of ten postulates assumes—in addition to an undefined class K, common to all these postulate-sets—an undefined dyadic relation, 4 > and Boole's 1f undefined binary AT-rules** of combination, + and X ; Whitehead's two sets, the first of thirteen, and the second of fifteen, postulates, and Huntington's first set, of ten postulates, assume the same undefined AT-rules of combination, + and X , which Huntington writes respectively © and o ; Huntington's second set, of nine postulates, assumes Schroder's undefined relation 4 > |
| Starting Page | 481 |
| Ending Page | 488 |
| Page Count | 8 |
| File Format | PDF HTM / HTML |
| DOI | 10.1090/S0002-9947-1913-1500960-1 |
| Volume Number | 14 |
| Alternate Webpage(s) | http://www.ams.org/journals/tran/1913-014-04/S0002-9947-1913-1500960-1/S0002-9947-1913-1500960-1.pdf |
| Alternate Webpage(s) | https://doi.org/10.1090/S0002-9947-1913-1500960-1 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |