Sentence examples for methods of inner from inspiring English sources

For recall how this works: Given ZFC+φ and ZFC+ψ one finds large cardinal axioms Φ and Ψ such that (using the methods of inner and outer models) ZFC+φ and ZFC+Φ are mutually interpretable and ZFC+ψ and ZFC+Ψ are mutually interpretable.

They also act as intermediaries for comparing theories from conceptually distinct domains: Given ZFC+φ and ZFC+ψ one finds large cardinal axioms Φ and Ψ such that (using the methods of inner and outer models) ZFC+φ and ZFC+Φ are mutually interpretable and ZFC+ψ and ZFC+Ψ are mutually interpretable.

Baby Boomers with a spiritual inclination were open to teachings that offered what conventional religions did not: methods of inner transformation and transcendence, and a metaphysic that did not contradict reason, history, science or their own experience.

Natural examples of the second kind of independence are provided by the dual method of inner and outer models.

The psychological method of "inner perception" is, for Wundt, the method of holding and attentively manipulating a memory image or reproduction of a past psychological process.

Using the method of inner models Gödel showed that ¬PM holds in L. It follows that ZFC+ ¬PM is mutually interpretable with ZFC.

So large cardinal axioms (in conjunction with the dual method of inner and outer models) lie at the heart of the remarkable empirical fact that natural theories from completely distinct domains can be compared in terms of interpretability.

Various methods of investigating inner speech exist, including questionnaires (Duncan & Cheyne, 1999; Morin, Uttl, & Hamper, 2011), experience sampling (Hurlburt et al., 2013) and task-based methods (Murray, 1967).

The method consists of inner and outer cross-validation loops.

Recall that the LOD method consists of inner and outer iterations.

The stillness of the river is echoed in the monk, whose meditation demonstrates yet another method of seeking inner peace.