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Hence, the instance '□∀xPx→∀x□Px' of CBF is false in M2.
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Hence, the instances of soundness (reflection principle) provable in a system are exactly the ones which concern sentences which are themselves provable in the system.
The schema mapping alone is not adequate for expressing target semantics, and hence, the canonical instance is in general not optimal.
Hence, for instance, the BBC will pay for the free television licences of over-75s.
Hence, for instance, the government's sloth in combating prison rape.
Hence, for instance, the image that opens a section of Book I: "Paterson lies in the valley under the Passaic Falls / its spent waters forming the outline of his back".
Hence, for instance, the insistence on clarifying in advance which managers would occupy which slots.Hence, too, a determination to centralise and control decisions that might otherwise chip away at cohesion.
Hence, for instance, the Roman alphabet is made of characters in a notational scheme because any inscription of, say, the letter "a" (A or a or a…) expresses the same character and hence can be chosen at will, and because each of such marks cannot be used for any other letter of the alphabet.
Apple spokesperson Bill Evans told Reuters that it wanted to make sure customers were covered as quickly as possible due to how serious the bugs were in this instance, hence the use of the automatic updater.
Hence, the first six analyzed network instances (indicated as Instances 1 6) have consisted of one-sector BSSs (e.g., Instance 2 in Figure 2a).
Hence, in Jorge Luis Borges's famous Pierre Menard case (that of a fictional French author trying to write a novel word-for-word identical to Cervantes's Don Quixote [Borges 1962]), Goodman claims that what Menard produced was another inscription of Don Quixote's text, hence an instance of the same work, albeit with his actions Menard may have suggested a possible, new interpretation of that work.
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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