Boole's algebra and its relation to Boolean algebra
Research gap analysis derived from 3 mathematics papers in our local library.
The gap
The paper identifies a gap in the understanding of Boole's algebra and its relation to Boolean algebra - The paper highlights the need for a modern algebraic description of Boole's algebra
Evidence profile
Sourced from the stated research gap and future-work section of the source papers, classified as general, drawn from work published between 1975 and 1981, spanning 2 journals. Those papers have been cited 66 times in total.
Research trend
Established — well-defined area with open sub-problems.
Supporting evidence — 5 representative gaps
- Boole's Algebra Isn't Boolean Algebra (1981) · Mathematics Magazine · cited 22× · doi
The paper identifies a gap in the understanding of Boole's algebra and its relation to Boolean algebra - The paper highlights the need for a modern algebraic description of Boole's algebra
generalstated research gapevidence 5/5Keywords: paper identifies gap understanding boole algebra relation boolean - Boole's Algebra Isn't Boolean Algebra (1981) · Mathematics Magazine · cited 22× · doi
Further study of the historical context of Boole's work - Examination of the implications of the paper's findings for the teaching of logic and algebra - Further research on the development of Boolean algebra
generalfuture-work sectionevidence 5/5Keywords: further study historical context boole work examination implications - Partial Boolean algebras in a broader sense (1979) · Studia Logica · cited 8× · doi
The paper identifies a gap in the understanding of partial Boolean algebras in a broader sense. It highlights the need to establish the relationship between partial Boolean algebras in a broader sense and other mathematical structures.
generalstated research gapevidence 5/5Keywords: paper identifies gap understanding partial boolean algebras broader - Logics based on partial Boolean σ-algebras (1975) · Studia Logica · cited 7× · doi
The paper identifies a gap in the understanding of partial Boolean algebras and their relationship to Boolean identities. It also highlights the need for a new definition of partial Boolean algebras based on indexed families of sub-algebras.
generalstated research gapevidence 5/5Keywords: paper identifies gap understanding partial boolean algebras relationship - Logics based on partial Boolean σ-algebras (1975) · Studia Logica · cited 7× · doi
The paper suggests future research on the applications of partial Boolean algebras in quantum mechanics. It also proposes further study on the relationship between partial Boolean algebras and Boolean identities.
generalfuture-work sectionevidence 5/5Keywords: paper suggests future research applications partial boolean algebras
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