Sentence examples for algebra from high-quality English sources.

Use algebra in a sentence.

  • Peacock believed that in order for symbolical algebra to be a useful subject its laws had to be closely related to those of arithmetical algebra.

  • Such conceptions gradually evolved into “nonstandard” abstract algebras such as quaternions, vectors, linear algebra, and Boolean algebra itself.

  • A central result in this area is the theorem that a lattice arises as the lattice of subalgebras of some algebra if and only if it arises as the lattice of congruences on some algebra.

  • Historically the term modern algebra came from the title of the first three editions of van der Waerden’s classic text of that name, renamed simply “Algebra” for its fourth edition in 1955.

  • It was natural for Boole to want to solve equations in his algebra of logic since this had been a main goal of ordinary algebra, and had led to many difficult questions (e.g., how to solve a 5th degree equation).

  • Pursuing this direction of research led Stone to ask about the structure of an arbitrary Boolean algebra, a question that he answered by proving that every Boolean algebra is isomorphic to a Boolean algebra of sets.

  • According to Víctor Sánchez Valencia, the tradition that originated with Boole came to be known as the algebra of logic since the publication in 1879 of Principles of the Algebra of Logic by Alexander MacFarlane (see Sánchez Valencia 2004: 389).

  • George Boole, (born November 2, 1815, Lincoln, Lincolnshire, England—died December 8, 1864, Ballintemple, County Cork, Ireland), English mathematician who helped establish modern symbolic logic and whose algebra of logic, now called Boolean algebra, is basic to the design of digital computer circuits.

algebra sentence examples

  • actualism | algebra of logic tradition | Boolean algebra: the mathematics of | logic: algebraic propositional | logic: classical | logic: deontic | logic: hybrid | logic: intensional | logic: many-valued | logic: modal | logic: relevance | logic: temporal | modality: medieval theories of | possible objects | possible worlds | Prior, Arthur

  • Recent work showed that alternative-based systems don’t need to abandon the elegant uniform algebraic perspective of the classical analysis: while classical entailment gives rise to a Boolean algebra, inquisitive entailment gives rise to a complete Heyting algebra, with meet, join, and relative pseudo-complement operators (Roelofsen 2013).

  • Given the connection between sample spaces and event algebras as defined above, one sees that the event algebra of a refined sample space is larger than the original event algebra: i.e., it contains all the original projectors and others in addition; conversely, a coarsening leads to a new event algebra which is a subset of the old event algebra.

  • In his Treatise on Universal Algebra, Whitehead took a generalized algebra—called ‘universal algebra’—to be the most appropriate tool for this study or investigation, but after meeting Giuseppe Peano during the section devoted to logic at the First International Congress of Philosophy in 1900, Whitehead and Russell became aware of the potential of symbolic logic to become the most appropriate tool to rigorously study mathematical patterns.


  • noun cognition

    - the mathematics of generalized arithmetical operations

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Use algebra in a sentence

On this page, there are 20 sentence examples for algebra. They are all from high-quality sources and constantly processed by lengusa's machine learning routines.

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  • 16 sentence examples for algebra from Stanford Encyclopedia of Philosophy
  • 1 sentence examples for algebra from The New Yorker
  • 3 sentence examples for algebra from Encyclopedia Britannica