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A variety of L-algebras is a class of L-algebras that is definable in a very simple way (by equations) using the L-algebraic language.
Furthermore, it follows that the Born measure is the only one that is definable from just the product structure of Hilbert space, the state in the Hilbert space, and the definite-valued observables selected by the state.
The idea is to pick $r$ generic over $M$, meaning that $r$ is built from its finite approximations in such a way that it does not have any property that is definable in $M$ and can be avoided.
Independently Boris Zilber in Siberia and Greg Cherlin in the United States noticed that any infinite group that is definable in an uncountably categorical structure must have many features in common with the algebraic groups studied by algebraic geometers.
While the Lebesgue measure is a natural one that is definable on the Cantor space of sequences directly, the generalisation of ML-randomness requires an independent computable probability measure on the space of sequences to be provided.
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Among those that are definable is possibility M: as early as 1921 Tarski showed that it could be defined as CNpp.
If the concepts in terms of which theories are formulated can be related, through chains of definitions, to concepts that are definable ostensibly i.e., by pointing to or exhibiting items or aspects of direct experience then those theories are factually meaningful.
Individuals belonging to these kinds have essential natures that are definable.
We are interested in sets of reals that are "definable" or "built up from below by simple operations".
In a way, this consequence of the principle seems very plausible, given Aristotle's idea that it is universals that are definable (Z.11, 1036a29).
The study showed that the neocortex contains diverse populations of excitatory neurons that are definable by their specific cortical and subcortical projection targets.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com