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Democracy, as a meaningful proposition, is impossible under these circumstances.
But the real challenge is to integrate climate change into the juggernaut of popular culture – not drag it alongside in a special sidecar of its own – and this is a much tougher (although ultimately more meaningful) proposition.
For some cases, we need to translate the message M into a meaningful proposition in the appropriate vocabulary.
This is a direct consequence of realism, for if there exists a domain of mathematical objects or concepts, then any meaningful proposition concerning them must be either true or false.[23] The Continuum Hypothesis is Gödel's example of a meaningful question.
'She'll transform the constitutional and political chaos into order,' they thought, 'outlining the government's strategy to make Britain's exit of the European Union a meaningful proposition.
A.J. Ayer, Theodore Drange, and other philosophers see both atheism and agnosticism as incompatible with ignosticism on the grounds that atheism and agnosticism accept "a deity exists" as a meaningful proposition that can be argued for or against.
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But whereas Ayer previously had in effect pursued a "reductionism" of all meaningful propositions to the sense-data by which they are verified, he now admitted that not everything can be translated into the language of the senses; instead, the constructions made on the basis of experience have their own inherent validity.
Here we consider A and its interpretation A′ not as syntactical objects but as meaningful propositions.
It follows that only factual states of affairs which can be pictured can be represented by meaningful propositions.
Having developed this analysis of world-thought-language, and relying on the one general form of the proposition, Wittgenstein can now assert that all meaningful propositions are of equal value.
In his 1947 "What is Cantor's Continuum Problem?", Gödel expounds the view that in the case of meaningful propositions of mathematics, there is always a fact of the matter to be decided in a yes or no fashion.
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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