plenitudinous

A fourth and final version of the third strategy, developed independently (and somewhat differently) by Balaguer (1995, 1998a) and Linsky & Zalta (1995), is based on the adoption of a particular version of platonism called plenitudinous platonism (Balaguer also calls it full-blooded platonism, or FBP, and Linsky and Zalta call it principled platonism).

Platonism in Metaphysics Balaguer, Mark 2009

Kerry writes that she favors “A culture of liberty [that] would . . . beget [a] raucous, plenitudinous hodgepodge” of different subcultures.

The Volokh Conspiracy » Libertarianism and Culture 2009

Since plenitudinous platonism, or FBP, says that there are mathematical objects of all possible kinds, it follows that if FBP is true, then every purely mathematical theory that could possibly be true (i.e., that's internally consistent) accurately describes some collection of actually existing mathematical objects.

Platonism in Metaphysics Balaguer, Mark 2009

Linsky & Zalta develop plenitudinous platonism by proposing a distinctive plenitude principle for each of three basic domains of abstracta: abstract individuals, relations (properties and propositions), and contingently nonconcrete individuals (1995, 554).

Platonism in Metaphysics Balaguer, Mark 2009

One might object here that in order for humans to acquire knowledge of abstract objects in this way, they would first need to know that plenitudinous platonism is true.

Platonism in Metaphysics Balaguer, Mark 2009

Linsky & Zalta respond to this by arguing that plenitudinous platonism (or in their lingo, principled platonism) is knowable a priori because it is required for our understanding of any possible scientific theory: it alone is capable of accounting for the mathematics that could be used in empirical science no matter what the physical world was like.

Platonism in Metaphysics Balaguer, Mark 2009

One alleged benefit of this plenitudinous view is in the epistemology of mathematics.

Platonism in the Philosophy of Mathematics Linnebo, Øystein 2009

In Linsky and Zalta's version of plenitudinous platonism, the mathematical entity that is postulated by a consistent mathematical theory has exactly the mathematical properties which are attributed to it by the theory.

Philosophy of Mathematics Horsten, Leon 2007

In Balaguer's version, plenitudinous platonism postulates a multiplicity of mathematical universes, each corresponding to a consistent mathematical theory.

Philosophy of Mathematics Horsten, Leon 2007

It is enough for your LogoBox to draw plenitudinous attention.

Alone Together in World of Warcraft? 2006