pure mathematics
Noun
Meaning
the branches of mathematics that study and develop the principles of mathematics for their own sake rather than for their immediate usefulness
Source: WordNetSynonyms
Hypernyms
Hyponyms
Examples
A lucid statement of this is found in an essay written by the British mathematician G. H. Hardy in defense of pure mathematics.
Another insightful view put forth is that pure mathematics is not necessarily applied mathematics : it is possible to study abstract entities with respect to their intrinsic nature, and not be concerned with how they manifest in the real world.
Freeman Dyson has stated that "Gödel's theorem implies that pure mathematics is inexhaustible.
By focusing consciously on an idea, feeling or intention the meditant seeks to arrive at pure thinking, a state exemplified by but not confined to pure mathematics.
In the past, practical applications have motivated the development of mathematical theories, which then became the subject of study in pure mathematics, where mathematics is developed primarily for its own sake.
Some critics of general equilibrium modeling contend that much research in these models constitutes exercises in pure mathematics with no connection to actual economies.