We theoretically compare the strength of the relaxations and derive specific results for a relevant case arising in benchmark instances from the literature.
As mentioned earlier, a more recent and relevant instance of this concern occurred in the E'Ola and Talbert case in which ephedra was replaced with ephedrine.
If we accept the relevant instance of (ES-prop) for The Liar, and classical logic, then contradiction quickly follows.
It says, 'there is a possible world in which there is a being x and time t such that x knows that p at t.' Now consider the relevant instance of Fitch's non-omniscience thesis: p ∧ ¬Kp.
Hence, as Williamson (2009, p. 466) points out, contingencies can prevent one from knowing the truth of the relevant instance of (2f), even if one has encountered and understood the Gettier text.
If, on the other hand, [P1] requires only that we have reason to think our reliability not utterly mysterious, then, while [P1] is more plausible, the relevant instance of [P2] may be false.
If this is right, then, since the paradox is generated merely from the relevant instance of (ES-prop) by classical logic, The Liar poses no special problem for deflationists (Gupta 2006).
As our computational results in the next section show, this approach is very successful and reliable in that it finds provably optimal subnetworks in short computation time for all biologically relevant instance sizes.
We emphasize that, despite the underlying computational complexity, our algorithm runs very fast on biologically relevant instance sizes: our software tool heinz computes provably optimal results usually in a few minutes; profiling our implementation we measured a median runtime of 182 seconds for test runs on 1000 score-permuted graphs.
There are a number of relevant instances when political parties have to agree on the choice of candidates for some public institutions.
In the field of computer vision, there are two primary classification models: recall, in which a system identifies all retrieved instances, and precision, in which a system returns only relevant instances.
