We will return to essential dependence later on.
This type of dependence varies widely with both substance and user.
A lack of evidence does not mean dependence isn’t possible, it just means it hasn’t been researched.
for negations of dependence atoms (Väänänen 2007a,b).
A concise definition of mereological dependence is offered by Kim:
But such debates all presuppose that some dependence thesis holds.
Grounding and ontological dependence are distinct from each other.
It was shown that both of these ways of defining fragments of dependence logic give rise of hierarchies:
Unlike supervenience, dependence, at least of the sort assumed in the grounding literature, is asymmetric and irreflexive.
Substance abuse and substance dependence are two distinct disorders associated with the regular nonmedical use of psychoactive drugs.
The key is to see the context dependence of the Liar sentence as derived from the context dependence of quantifier domains.
So far, we assumed that all dependence logic expressions are in negation normal form, and that dependence atoms are never negated.
Intuitionistic dependence logic retains the downwards closure property: if a team satisfies an intuitionistic dependence logic formula then so do all of its subsets.
We should also distinguish ontological dependence, broadly conceived, from what is usually considered a stricter type of metaphysical dependence, namely metaphysical grounding.
Because grounding and ontological dependence are distinct, the claim that supervenience is not the same as grounding is distinct from the claim that supervenience is not the same as ontological dependence.
Consider the idea that ontological dependence could be reflexive: there is nothing in theory that rules out a relation of ontological dependence obtaining in such a way that a given object is dependent on itself.
Birds, animals, and especially fish appeared farther north than before; in Greenland this led to a change in the economy, as its traditional dependence on seals yielded to dependence on fishing, particularly cod, which were caught north of the 70th parallel.
Borrowing from the recent account of Witmer (2014) (which is similar to Rosen’s account), we might attempt to fix Rosen’s account by replacing parthood in the account with ontological dependence, where the relation of ontological dependence is defined by (21).
Whereas (first order) dependence logic is strictly more expressive than first order logic, propositional dependence logic is not more expressive than propositional logic, as it follows immediately from the fact that all propositional functions are expressible in propositional logic.
Having defined identity-dependence by (ID) as a species of essential dependence, we are now in a position to identify other species of essential dependence, the most obvious being what may aptly be called essential (existential) dependence, which can be defined as follows:
dependence
noun state
- the state of relying on or being controlled by someone or something else
noun state
- being abnormally tolerant to and dependent on something that is psychologically or physically habit-forming (especially alcohol or narcotic drugs)
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