Since LLL does not cause any trouble with case <iv>, we are done building the recursive definition
for even l as found in the theorem statement.
Dave Morice commented on the recursive definition
Imagine, for example, that we simply translated the recursive definition
of theoremhood for some axiom system for classical logic into a correspondingly recursive definition
on the model-theoretic level, and then restate and prove the completeness theorem for classical logic in terms of that translation.
He further holds that Principia offers a recursive definition
of "truth," which assumes that the facts are truth-markers, and the universals inhering in them are logically independent of each other.
Though proving that the resulting collection is a basis with symmetric Hilbert series is better done from the recursive definition
, the construction is better motivated from this viewpoint.
Now, for each Fibonacci sequence we have investigated above, we have been increasing the number of previous terms to be added in the recursive definition
Tarski provided us with the first precise formulation of the T-schema, while also showing how to give a recursive definition
For example, (1) is a discrete recursive definition
Following again the lead of Levinson, all this can be usefully put in some kind of recursive definition
He also defined a notion of continuum and formulated steps toward a recursive definition
of spaces with a homogeneous dimension number.
Each instance definition is translated as a functional, abstracting over the recursive definition
of the overloaded variable.
4) Oppy denies that 'the content of the noton work of art can be captured in some sort of recursive definition
which recapitulates the history of art'.