ramifiable

English

Etymology

ramify +‎ -able

Adjective

ramifiable

1. (mathematics) Capable of being subdivided into branches.
   • 1998, Travaux de Mathématiques - Issue 2:

     One cannot prove in Z F C that "δ_D and cf(D) are ramifiable cardinals implies that D is weakly ramifiable".

   • 2002, Reports on Mathematical Logic - Issues 36-40, page 25:

     We say that D is Θ-ramifiable if for each tree T on D, there is a branch h of T (we say that T has a branch).

2. Capable of spreading into multiple fields or categories.
   • 1994, Herman Parret, Peirce and Value Theory: On Peircian Ethics and Aesthetics, →ISBN, page 109:

     Judgments are thus ramified and ramifiable. Adopting Peircean terminology, the artwork is indefinitely translatable into interpretants of great variety.

   • 1999, Meir Sternberg, Hebrews between Cultures: Group Portraits and National Literature, →ISBN:

     To this the Bible offers an instructive counterexample, since keeping the difference flexible and ramifiable is exactly part of its ideopoetic business.

   • 1999, John Ryder, Interpreting America, →ISBN:

     Whether or not Karimsky's judgment of the transcendentalist world view as an "irrationalization" is justified, its conception of nature as dynamic, mutable, and incomplete prefigures a theme that is to run through much of American philosophy, from James's open universe and Dewey's rejection of the fixed and final in nature, to Justus Buchler's contemporary ordinal conception of the indefinitely ramifiable character of nature's complexes and his rejection of a final "Order" of nature.

   • 2015, Peter Hare, Joseph Palencik, Douglas Anderson, Pragmatism with Purpose: Selected Writings, →ISBN, page 180:

     Another point of considerable relevance here is that complexes are indefinitely ramifiable, which is to say they are amenable to indefinite inquiry and analysis.