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So too defining mathematicals without sensible matter is not tantamount to the judgment that mathematicals exist apart from sensible matter.
The fact that we define mathematicals without sensible matter does not commit us to the view that mathematicals actually exist apart from sensible matter.
Mathematical things, on the analogy of 'concave', do not have sensible matter in their definitions.
The subject of a demonstration in natural philosophy is defined without singular but with common or universal sensible matter; the subject of a mathematical demonstration is defined without any sensible matter.
This makes it clear that the way in which natural things are separated from sensible matter is the way in which the definition common to many things abstracts from the singular characteristics of each.
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The authority of expert consensus obviously strengthens as the quality of expertise improves, which is why it's quite sensible, as matter of science-based policy-making, to wait for a callow science to improve before taking grand measures on the basis of its predictions.
Ms. Jackson's proposal — to reduce the permissible level of smog in the air from the current 75 parts per billion to between 60 parts per billion and 70 parts per billion — is sensible, no matter what industry's defenders may claim.
"I would never expect my manager to make decisions about communications policy, and a sensible legal matter.
Desgabets defends the Cartesian doctrines of sensible qualities, matter, mind-body dualism, mind-body union and interaction in man while criticizing Descartes's argument for the cogito as the first principle of knowledge, the claim that there is such a process as pure intellection, that there are innate ideas, and that ideas have objective reality (pure possibility).
"It's the sensible thing to do, not least on practical matters, air-space control and all of that," he said.
It seems clear, nevertheless, that if the two works had to be distinguished, the Physica would have to be described as the more empirical, just because it deals with things that are objects of the senses, what Aristotle himself called "sensible substance"; the subject matter of the Metaphysica, "that which is eternal, free of movement, and separately existent," is on any account more remote.
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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