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This fallacy is committed when a general proposition is used as the premise for an argument without attention to the (tacit) restrictions and qualifications that govern it and invalidate its application in the manner at issue.
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In the terminology of the new theory, the word "proposition" was used not for an objective metaphysical complex, but simply for an interpreted declarative sentence, an item of language.
This superficial proposition was used to justify any number of Sour Apple stories, from the oft-repeated meme "Apple Losing Innovation Edge," to "Apple Losing Smartphone Share" to "Apple is Losing to Samsung" to "the iPhone Magic wears off".
A discrete and continuous mathematical model is developed and logical propositions are used for discrete decisions.
Notably, these two propositions are used to determine, among other methods, relations of homology in evolutionary biology.
Disjunctive propositions are used whenever an abstract term is 'developed' in its constituent parts or subclasses – whenever the extent of meaning of a term is explored.
Wittgenstein does not explicitly say, however, how mathematical equations, which are not genuine propositions, are used in inferences from genuine proposition(s) to genuine proposition(s) [(Floyd 2002, 309), (Kremer 2002, 293 94)].
The theoretical propositions were used to refine the codes and explore relationships between themes.
Finally temporal propositions are used to reason about how the system changes over time.
All assumptions were reformulated in the form of propositions and these propositions were used to construct a model.
The atomic propositions are used to formulate properties in a temporal-logic formula ϕ and model checkers automatically test if the state transition graph T satisfies the formula (T ⊧ ϕ).
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