Sentence examples for inner models from inspiring English sources

Justification: The hypothesis holds in all canonical inner models in fact, a J-structure is considered acceptable only if it satisfies GCH.

It happens when your message reaches the microcosms of decision makers, obliges them to question their assumptions about how their business world works, and leads them to change and reorganize their inner models of reality.

So definable determinacy is a fruitful consequence of the existence of such inner models.

Since it is (arguably) even more plausible that there are such inner models, this (arguably) strengthens the case.

In fact, it turns out that the existence of certain inner models of large cardinal axioms is sufficient to prove definable determinacy.

The largest $L$-like inner models for large cardinals that have been obtained so far can contain Woodin limits of Woodin cardinals (Neeman 2002).

A manager's inner model never mirrors reality; it is always a construct.

The model is twice-nested, and a 2 km grid is used in the inner model.

The inner model HOD^M consisting of all sets that are hereditarily ordinal definable in the sense of M is of great interest, for a variety of reasons.

We give a fairly complete account which first shows that the solution to the inner model problem for one supercompact cardinal will yield an ultimate version of L and then shows that the various current approaches to inner model theory must be fundamentally altered to provide that solution.

To formulate a nonlinear dynamic PLS framework, we propose an ARX-neural network (ARX-NN) cascaded structure, and incorporate it into PLS inner model.