Sentence examples for natural theory from inspiring English sources

If a natural theory of truth like T PA) below is added, however, it is no longer necessary to postulate the global reflection principle explicitly, as theories like T PA) prove already the global reflection principle for PA.

Further, he thinks it will be a fully natural theory, one that will open up a new science of the mind, which he calls pneumatology (cf. RB 56; the name pneumatology obviously didn't catch on, but the science Leibniz envisioned would probably overlap significantly with today's cognitive sciences).[15] So, then, what was the account of consciousness Leibniz had to offer?

To summarize: While CH is a case of the second type independence, PM is a case of the first type independence; it is similar to Con(ZFC) in that it is a sentence φ such that only one of φ or ¬φ leads to a jump in strength, only now there are two differences; the jump lands in a degree that is much stronger and it is represented by a natural theory.

Moreover, there is reason to believe that ADL lies in the overlapping consensus of all sufficiently strong, "natural" theories.

For, as we have noted above, all "natural" theories appear to be wellordered under interpretability and this includes theories that are incompatible with one another.

For example, it is straightforward to select "natural" theories from higher and higher degrees of theories in the wellordered sequence that are incompatible with one another.

Certain natural theories of truth, however, fail to be conservative (see Section 3.3 below, Field 1999 and Shapiro 2002 for further discussion).

But large cardinal axioms have additional features that singles them out from the class of natural theories in the wellordered sequence of degrees.

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.

In fact, the examples are so ubiquitous and the technique is so general that there is reason to believe that ADL lies in the overlapping consensus of all sufficiently strong, natural theories.

Natural selection theory and nearly neutral theory have different explanations for the mechanism of these dynamic changes [ 29- 31].