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To "see" that one statement follows from another, that a particular inference is valid, enables one to make an "intuitive induction" of the validity of all inferences of that kind.
The decision problem calls for a mechanical set of rules for deciding whether such an inference is valid, one that is guaranteed to yield a yes-or-no answer in a finite amount of time.
This inference is valid because, although the premises and the conclusion are not all true, it is impossible to conceive of a situation in which all of the premises would be true but the conclusion would be false.
Clearly, whether that inference is valid or not turns on a metaphysical question about the identity of persons and minds.
If, however, our intuition that the purported inference is valid is stronger than our confidence that our logical rules are adequate, we might consider amending the rules.
It remains to note that this inference is valid for any cluster point (u^{0}) of the sequence ({u_{varepsilon }}_{varepsilon >0}).
Similar(45)
With the exception of the conventional least squares regression result that applies with truly exogenous variables such as indicators, dummies and time, the estimations and inference are valid as long as the dependent variable and any potentially endogenous regressors are I(1), Kitamura and Phillips (1995).
Both inferences are valid for strict (logical or material) conditionals, but they are not generally correct for non-strict conditionals.
On the other hand, a psychological interpretation of syllogistics cannot explain why some inferences are valid and others invalid (§31).
On the one hand, we have certain intuitions about which deductive inferences are valid; on the other hand we have rules of inference.
According to Goldberg, in light of arguments for content externalism, we may have to abandon the view that logically competent subjects are able to know a priori that their inferences are valid.
More suggestions(16)
assumption is valid
extrapolation is valid
inference is true
deduction is valid
conjecture is valid
inference is viable
corollary is valid
reference is valid
consequence is valid
hypothesis is valid
inference is appropriate
inference is valuable
inference is suitable
derivation is valid
implication is valid
inference is applied
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com