Reducible in a sentence

Using mathematical rules and procedures based on properties of reducible configurations, Appel and Haken found an unavoidable set of reducible configurations, thus proving that a minimal counterexample to the four-color conjecture could not exist.

Simple problems on equations reducible to linear equations may be included.

A configuration for which this is possible is called a reducible configuration.

Aristotle assumed efficient causality as referring to a basic fact of experience, not explicable by, or reducible to, anything more fundamental or basic.

Critique of reductionism In "Life's irreducible structure" (1968), citation Polanyi argues that the information contained in the DNA molecule is not reducible to the laws of physics and chemistry.

Epistemological pluralism is one view in which the mind-body problem is not reducible to the concepts of the natural sciences.

Finally, events and propositions have been argued to be reducible to sets (classes) of substances and other such categories.

Fundamental interactions, also known as fundamental forces, are the interactions in physical systems that do not appear to be reducible to more basic interactions.

If a map contains a reducible configuration, then the map can be reduced to a smaller map.

If V has exactly two subrepresentations, namely the zero-dimensional subspace and V itself, then the representation is said to be irreducible; if it has a proper subrepresentation of nonzero dimension, the representation is said to be reducible.

In ontology it is sometimes suggested that the "is" of existence is reducible to the "is" of property attribution or class membership; to be, Aristotle held, is to be something.

In the extreme empiricism of the neopositivists—at least before the 1930s—any genuinely synthetic assertion must be reducible to an ultimate assertion (or set of ultimate assertions) that expresses direct observations or perceptions.

John H. McDonald even showed his example of a mousetrap to be reducible.

Later, Peirce gave a mathematical reason for there being three categories in that although monadic, dyadic and triadic nodes are irreducible, every node of a higher valency is reducible to a "compound of triadic relations".

Phenomenalism is the view that physical objects, properties, events (whatever is physical) are reducible to mental objects, properties, events.

Représentations collectives are the symbols and images that come to represent the ideas, beliefs, and values elaborated by a collectivity and are not reducible to individual constituents.

Self-reducibility The SAT problem is self-reducible, that is, each algorithm which correctly answers if an instance of SAT is solvable can be used to find a satisfying assignment.

Such a connection is provided where the same idea can be expressed by "levels" of explanation, with higher levels reducible if need be to lower levels.

Thus, a vast class of seemingly unrelated problems are all reducible to one another, and are in a sense "the same problem".

Thus only singular propositions are of subject-predicate form, and they are irreducibly singular, i.e. not reducible to a general proposition.