Strong mixing is, trivially, equivalent to
For states and militaries, manipulating the internet is trivially cheap and easy to do.
It is a truism to say that once you know the answer to a puzzle it becomes trivially easy.
(Tesla was trivially small when it almost went out of business in 2008, as the financial crisis was raging.)
(For the same reason all universal mathematical statements will be trivially true.)
This means that (trivially) the identity on the universe maps V onto ℘V, and vice-versa.
For even if the former claim is trivially true of all entities, the latter claim is certainly not.
Jan Heylen (2017) agrees but contends that free logic trivially implies other existential sentences.
A dictatorship, which always chooses the dictator's most preferred alternative, is trivially strategy-proof.
There are trickier cases, however, ones of category mistakes that are neither trivially true nor trivially false.
The idea is that, once P is disambiguated properly, presentism is either trivially true (but consistent with some non-presentist views) or else false.
Let’s call a conditional like this trivially true when it is true and the conditional with the same antecedent and opposite (negated) consequent is also true.
If you only experience what you attend to, as is maintained by philosophers such as Prinz 2012, all cases of justification by experience will trivially involve attention as well.
Tinder has added to this a trivially simple mechanism of swiping right and left to determine if we like someone, and then connecting people who like each other - they can message each other.
The ethical nihilist might seem to have an easy time explaining the metaphysical supervenience of the ethical: if there are no ethical properties, there are, trivially, no ethical differences.
But given Church’s thesis that anything that can be given a precise enough characterization as a set of steps can be simulated on a digital computer, it follows trivially that the question has an affirmative answer.
Notice again that by Tarski's theorem on the undefinability of truth, the definability constraint is trivially satisfied by the degenerate multiverse conception that takes the multiverse to contain the single element V.
(Further, it is stipulated that this identity may not hold trivially in virtue of R or S or C being given a “whatever it takes” specification (e.g., the concept cat = the concept of the disposition to produce the response “It's a cat” in perfect cat-spotters in optimal cat-spotting conditions).)
This sentence is arguably also infelicitous in the way which is typical of category mistakes, but (assuming category mistakes are truth-valued, as per the pragmatic approach) whether (25) is true or false depends entirely on the truth value of the second disjunct—which is itself neither trivially true nor trivially false.
The trouble with this elastic strategy is not only that it is ad hoc, but also that it creates cross-purpose talk and ultimately amounts to a pyrrhic victory for the evaluative theory, because, on a sufficiently expanded notion of judgment, the identification of emotions with judgments becomes at best trivially true and fails to shed light on what emotions are (Scarantino 2010).
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The trouble with this elastic strategy is not only that it is ad hoc but also that it creates cross-purpose talk and ultimately amounts to a pyrrhic victory for the evaluative theory because on a sufficiently expanded notion of judgment the identification of emotions with judgments becomes at best trivially true and fails to shed light on what emotions are Scarantino 2010