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The final section of 'How to Make our Ideas Clear' promises to 'approach the subject of logic' by considering a fundamental logical conception, reality.
In discussing the nature, status, and subject of logic in the introduction to his final commentary on the Ars Vetus (fol.
Along with Peirce, Dewey understood the subject of logic in an extremely broad way, so that the subject in his mind, as well as in Peirce's mind, comprised the entire topic of the methodology of the exact sciences.
This was, after all, Aristotle's view, too: he decided to speak on behalf of the unconditional validity of the LNC, not in his Organon (his writings on the subject of logic), but in the Metaphysics, for this was for him an issue to be addressed ontologically, not (only) via formal logical tools.
Chrysippus wrote much on the subject of logic and created a system of propositional logic.
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This in turn forced the discussion of what the subject matter of logic is, and how its subject matter differed from that of grammar.
Following the inventor of linear logic, one could say that the fundamental intuition at the root of the field is the following: the subject matter of logic is interaction, or rather the "well hidden geometrical structure" of it (see Girard 1999).
It is not clear to me that the argument to exclude the Categories from logic which, in Hillî's version, depends on taking secondary intelligibles to be the subject matter of logic, still works for those who do not accept logic's subject matter to be secondary intelligibles; none the less, the Categories were excluded from their works too.
The doctrine associated with Avicenna as to the subject matter of logic came to have decisive impact in the Latin logical tradition, though it was not the only doctrine in play through the later Arabic texts.
Not unlike this proliferation of meanings, the subject matter of logic has been said to be the "laws of thought," "the rules of right reasoning," "the principles of valid argumentation," "the use of certain words labelled 'logical constants'," "truths (true propositions) based solely on the meanings of the terms they contain," and so on.
First, is the intelligible corresponding to, say, "horse", part of the subject matter of logic?
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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