noun a mathematical or philosophical concept that cannot be broken down further
adjective not able to be reduced or simplified
In philosophy, irreducible complexity is a concept used to argue for the existence of irreducible entities or properties.
In mathematics, irreducible refers to a polynomial that cannot be factored into polynomials of lower degree with coefficients in the same field.
In sociology, irreducible complexity can refer to social structures or phenomena that cannot be reduced to simpler components.
In computer science, irreducible complexity can refer to computational problems that cannot be broken down into simpler sub-problems.
In chemistry, irreducible representations are used in group theory to analyze molecular vibrations.
In physics, irreducible representations are used to describe the symmetry properties of physical systems.
In biology, irreducible complexity is a concept used in the intelligent design argument for the existence of a designer.
In literary criticism, a writer may discuss the irreducible complexity of a novel's plot or character development.
Psychologists may use the concept of irreducibility when analyzing complex human behaviors or emotions.
Chemists may encounter irreducible elements or compounds in their research that cannot be broken down further.
Mathematicians may study irreducible polynomials or equations that cannot be factored into simpler forms.
Biologists may explore the irreducible complexity of biological systems or organisms.
Physicists may discuss irreducible laws of nature or fundamental particles in their research.
Engineers may encounter irreducible design constraints or limitations in their projects.
Philosophers may debate the concept of irreducibility in terms of consciousness or reality.
Economists may analyze irreducible risks or uncertainties in economic models.
Computer scientists may study irreducible computational problems or algorithms.
Historians may consider irreducible historical events or factors that shaped a particular era.
Sociologists may examine irreducible social structures or inequalities in their research.