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We can see the connection by considering the answers to two questions: "What is thunder?" "The extinction of fire in the clouds" (definition).
So in the case of a natural demonstration, the subject is the causal outcome of the predicate (the noise, or thunder, results from the extinction of fire in a cloud), and is presupposed in it inasmuch as the point of the material events is to produce that outcome.
Again, drawing on Aristotle's example in Posterior Analytics II 8, thunder is a noise made in a cloud (formal definition), and such a noise, in a cloud, is made (only) when fire is extinguished in it, and so thunder is the extinction of fire in a cloud.
Similar(57)
On the other hand, the causal definition of an attribute really does add to our information about it, as when we find that the noise-in-the-cloud, i.e. thunder, is a noise-in-the-cloud-produced-by-the-extinction-of-fire.
Further, if (unrecorded) extinction of fire-sensitive taxa had occurred along basal stems of clades that our analysis currently assigns as in fireprone habitats, this would not alter the assignment as this (correctly) infers that the surviving lineage was fire-tolerant at that point in time.
The lack of discontinuities in the fuel bed diminishes the extinction capacity of fire brigades and increases the risk of large fires.
Affected by ventilation systems, fire develops rapidly resulting in consuming most oxygen quickly followed by early extinction of the fire.
After extinction of the fire, with more ambient air drawn into the car park due to ventilation, re-ignition takes place with accelerated development.
Moreover, after extinction of the fire, the calcined serpentine will quickly react with CO2 and the first rainwater, thereby compensating part of the CO2 that was emitted by the fire.
At 10 05 pm Swale came alongside Port Fairy to aid the extinction of the fire with her hoses.
Nirvana is described in the Buddhist canon as the extinction of the fires of desire.
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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