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His pictures demonstrate consummate skill at creating subjects that possess narrative power.
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Brouwer used arguments that involve a creating subject to construct counterexamples to certain intuitionistically unacceptable statements.
1948 Resumes his foundational program with a paper that exploits the notion of the creating subject.
Vocabulary control and thesaurus construction are studied in the context of creating subject trees as structured browsing environments.
The first axiom is a form of the principle of the excluded middle concerning the knowledge of the creating subject.
Moreover, the axioms CS1 3 of the creating subject can be interpreted in it, thus showing this theory to be consistent.
(In the earlier "oscillatory number" method for generating weak counterexamples, the creating subject is not explicitly referred to).
The second axiom clearly uses the fact that the creating subject is an idealization since it expresses that proofs will always be remembered.
According to the BHK-interpretation this statement holds intuitionistically if the creating subject knows a proof of $A$ or a proof that $A$ cannot be proved.
It seems to introduce a further notion of negation, by accepting that, if it is known that the creating subject will never prove A, then A is false.
Lawless sequences could for example be created by the repeated throw of a coin, or by asking the creating subject to choose the successive numbers of the sequence one by one, allowing it to choose any number to its liking.
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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