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boolescher

Boolescher is an adjective used in German-language scholarship to describe concepts in Boolean logic and Boolean algebra, named after the 19th-century mathematician George Boole. In broader English usage, the term Boolean or Boolean logic is preferred, but boolescher remains common in German texts when referring to related ideas and structures.

George Boole introduced the ideas in The Laws of Thought (1854), laying the groundwork for an algebraic

Boolescher logic operates on truth-functional values, usually true and false. The primary operations are conjunction (AND),

Boolean concepts are foundational to digital electronics, computer science, and programming. Boolean algebra underpins the design

See also Boolean algebra, propositional logic, and digital logic design.

treatment
of
logical
relations.
The
development
of
Boolean
algebra
was
advanced
by
later
logicians
and
codified
into
widely
used
axioms
that
describe
how
truth
values
interact
under
binary
operations.
The
formalism
treats
logic
as
an
algebraic
system,
enabling
systematic
manipulation
of
logical
expressions.
disjunction
(OR),
and
negation
(NOT).
Boolean
expressions
can
be
manipulated
using
laws
such
as
distributivity,
identity,
idempotence,
and
De
Morgan's
laws;
these
yield
simplified
forms
and
insight
into
logical
equivalence.
In
many
treatments,
the
values
are
represented
by
{0,1}
and
symbols
such
as
∧,
∨,
and
¬
or
the
arithmetic
signs
+,
·,
and
complement.
of
logic
circuits,
optimization
of
digital
hardware,
and
the
evaluation
of
conditional
statements
in
software.
Boolean
data
types
enable
efficient
queries
and
search
operations,
and
methods
such
as
Karnaugh
maps
or
the
Quine–McCluskey
algorithm
are
used
to
minimize
Boolean
expressions.