Because I am inconsistent, my willpower is inconsistent.
By Gödel’s theorem, the computer will be either inconsistent or incomplete.
The report criticised the organisation’s inconsistent approach to human rights issues.
"A failure to act and respond is not only inconsistent with who we are but it also degrades our traditions, threatens our cohesion and morale, and detracts from mission accomplishment."
There is only one inconsistent belief set (logically closed inconsistent set), namely the whole language.
Closely connected with inconsistent information is the issue of modelling inconsistent databases (see Barwise 1997).
Thus, paraconsistent logic accommodates inconsistency in a controlled way that treats inconsistent information as potentially informative.
The catch is that the inconsistent class consisting of only the one-element or inconsistent algebra also has this property.
Given that inconsistent items have inconsistent properties, if classical logic is employed then triviality immediately follows.
It says that the result of revising the inconsistent theory is always unsuccessful, leaving the inconsistent theory unmodified.
Unfortunately, this recipe for consolidation of inconsistent belief bases does not have a plausible counterpart for inconsistent belief sets.
(In the simple monadic case here there is only one inconsistent constituent, but in the general case there are many inconsistent constituents.
It is then of interest to note that confirmation as firmness is inconsistent with (i), while Hempelian and HD-confirmation are inconsistent with (ii).
In other words, it is within divine power to bring about any state of affairs except for those that are logically inconsistent—for instance, where I both exist and not exist:
Oswald's facial features are inconsistent with other photos of him and the size of the rifle is inconsistent with the known length of that type of rifle, it has been argued.
Nonetheless, just like the classical non-standard models of arithmetic, there is a class of inconsistent models of arithmetic (or more accurately models of inconsistent arithmetic) which have an interesting and important mathematical structure.
For example approving of a proposition and disapproving of the same proposition is inconsistent (if it is) not in virtue of directing one and the same attitude at inconsistent propositions, but rather because two allegedly incompatible attitude-types are directed at the same proposition.
In scholarly discussions, preferences are usually taken to be open to rational criticism only insofar as (i) they have been inconsistent, violating some of the rationally justifiable preference axioms, or (ii) they (in combination with beliefs) commit the agent to inconsistent inferences.
Proposition (Dietrich and List 2007a; Nehring and Puppe 2007): Propositionwise majority voting may generate inconsistent collective judgments if and only if the set of propositions (and their negations) on which judgments are to be made has a minimally inconsistent subset of three or more propositions.
This view has not been discussed in the literature, but obvious objections would include: that the Christian God is neither literally nor analogous to a portion of matter, that the doctrine is inconsistent with divine simplicity, and that it inconsistent with any person of the Trinity being fully divine, because full divinity requires aseity, which is inconsistent with being a hylomorph.
inconsistent
adj all
- displaying a lack of consistency
Example: inconsistent statements cannot both be true at the same time
adj all
- not capable of being made consistent or harmonious
Example: inconsistent accounts
adj all
- not in agreement
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This view has not been discussed in the literature but obvious objections would include that the Christian God is neither literally nor analogous to a portion of matter that the doctrine is inconsistent with divine simplicity and that it inconsistent with any person of the Trinity being fully divine because full divinity requires aseity which is inconsistent with being a hylomorph