reducibility

Ability to simplify

Reducibility is the quality of being able to be reduced—made smaller, simpler, or converted into a more basic form.

In mathematics and logic, reducibility describes whether one problem or expression can be transformed into another, often simpler one: The reducibility of this equation to a quadratic form makes it solvable.

In philosophy, reducibility concerns whether complex phenomena can be explained entirely in terms of simpler components, as when mental states are said to be reducible to brain states.

computational

decidability

Algorithmic resolution capability

computation · optimization · tractability · oracle · completeness

logical

axiom

Self-evident starting principle

inference · consistency · completeness · formalism · syllogism · contradiction · tautology · corollary · lemma · postulate

scientific

phenomenon

Extraordinary observable occurrence

causation · explanation · analysis · component · constituent · fundamental · elementary · molecular · atomic · substrate

simplification

streamline

Remove unnecessary elements

deconstruct · condense · abstract · analyze · factorize · modularize · partition · dissect · resolve · parse

Categories
Opposites
simplifiability

reducibilityirreducibility

Cannot be simplified further

indivisibility · inseparability · intractability · atomicity · primitiveness

complexity/holism

reducibilityirreducibility

Cannot be simplified further

holism · emergence · wholeness · gestalt · complexity

Family

irreducibility

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