distributivityn.
/dɪsˌtrɪbjʊˈtɪvɪti/ The character or quality of being distributive.
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the world > relative properties > number > algebra > [noun] > algebraic property
associativeness1878
symmetry1888
associativity1926
idempotence1934
distributivity1940
idempotency1940
the mind > mental capacity > philosophy > logic > logical classification > [noun] > logical extension > application to all individuals
distribution1827
distributivity1940
1940 W. V. Quine Math. Logic 60 Distributivity always justifies an operation analogous to that of ‘multiplying through’ in arithmetic.
1947 H. Reichenbach Elem. Symbolic Logic ii. §11. 47 The laws of commutativity, associativity, and distributivity supply the reason that these manipulations closely resemble algebraic transformations.
1965 E. M. Patterson & D. E. Rutherford Elem. Abstr. Algebra iii. 73 Associativity of multiplication in Mp,p is a consequence..of distributivity of multiplication over addition for real numbers.
This entry has not yet been fully updated (first published 1972; most recently modified version published online March 2018).
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n.1940- graft surface
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