A generalization of a formalized theory of fields of sets on non-classical logics

H. Rasiowa

  • Publisher: Instytut Matematyczny Polskiej Akademi Nauk(Warszawa), 1964

Abstract

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ContentsIntroduction.................................................................................................................................................. 3§ 1. System 𝒮 of a propositional calculus...................................................................... 4§ 2. System 𝒮 * ..................................................................................................................... 5§ 3. 𝒮 * -algebras.................................................................................................................. 9§ 4. The algebra of set designations of 𝒮 * .................................................................... 11§ 5. Models of the system 𝒮 * ............................................................................................ 13§ G. Completeness theorem................................................................................................................... 17§ 7. Formalized theory of fields of sets.................................................................................................. 20§ 8. Classical elementary theory of Boolean algebras....................................................................... 23§ 9. Elementary theories of 𝒮 -algebras based on 𝒮 -logic.................. 26References................................................................................................................................................. 29

How to cite

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H. Rasiowa. A generalization of a formalized theory of fields of sets on non-classical logics. Warszawa: Instytut Matematyczny Polskiej Akademi Nauk, 1964. <http://eudml.org/doc/268342>.

@book{H1964,
abstract = {ContentsIntroduction.................................................................................................................................................. 3§ 1. System $\mathcal \{S\}$ of a propositional calculus...................................................................... 4§ 2. System $\mathcal \{S\}*$..................................................................................................................... 5§ 3. $\mathcal \{S\}*$-algebras.................................................................................................................. 9§ 4. The algebra of set designations of $\mathcal \{S\}*$.................................................................... 11§ 5. Models of the system $\mathcal \{S\}*$............................................................................................ 13§ G. Completeness theorem................................................................................................................... 17§ 7. Formalized theory of fields of sets.................................................................................................. 20§ 8. Classical elementary theory of Boolean algebras....................................................................... 23§ 9. Elementary theories of $\mathcal \{S\}$-algebras based on $\mathcal \{S\}$-logic.................. 26References................................................................................................................................................. 29},
author = {H. Rasiowa},
language = {eng},
location = {Warszawa},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
title = {A generalization of a formalized theory of fields of sets on non-classical logics},
url = {http://eudml.org/doc/268342},
year = {1964},
}

TY - BOOK
AU - H. Rasiowa
TI - A generalization of a formalized theory of fields of sets on non-classical logics
PY - 1964
CY - Warszawa
PB - Instytut Matematyczny Polskiej Akademi Nauk
AB - ContentsIntroduction.................................................................................................................................................. 3§ 1. System $\mathcal {S}$ of a propositional calculus...................................................................... 4§ 2. System $\mathcal {S}*$..................................................................................................................... 5§ 3. $\mathcal {S}*$-algebras.................................................................................................................. 9§ 4. The algebra of set designations of $\mathcal {S}*$.................................................................... 11§ 5. Models of the system $\mathcal {S}*$............................................................................................ 13§ G. Completeness theorem................................................................................................................... 17§ 7. Formalized theory of fields of sets.................................................................................................. 20§ 8. Classical elementary theory of Boolean algebras....................................................................... 23§ 9. Elementary theories of $\mathcal {S}$-algebras based on $\mathcal {S}$-logic.................. 26References................................................................................................................................................. 29
LA - eng
UR - http://eudml.org/doc/268342
ER -

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