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Note that if we cannot give anything more than a generic schema for '\(x\) is fitter than \ y\)', then the PNS cannot be expressed as a synthetic proposition with a truth-value and so cannot figure as a general law.
Kant then immediately refers to "David Hume, who, among all philosophers, came closest to this problem"; and he suggests, once again, that Hume failed to perceive the solution because he did not conceive the problem in its "[full] generality, but rather stopped with the synthetic proposition of the connection of the effect with the cause (principium causalitatis)" (ibid).
He gives an extensive critique of Kant's famous doctrine that "7+5=12" would be an example of a synthetic proposition a priori, with a quite idiosyncratic argumentation, stating that the a priori or a posteriori character of the sum would depend on the possibility of a direct intuition of its elements, i.e., a proper presentation.
In an analytic proposition, the predicate concept is contained in its subject concept; in a synthetic proposition, the predicate concept is not contained in its subject concept.
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Some analytic propositions are a priori, and most synthetic propositions are a posteriori.
IDT formalizes designers' verbal statements as either analytic or synthetic propositions through a cyclic operation of "specify-ideate-validate" at each abstraction level to generate a design concept which is logically feasible, functionally simple, and physically certain.
First, Mr. Quine rejected the fundamental distinction between what Kant had called analytic and synthetic propositions, or the distinction between statements that seem true no matter what (like "all bachelors are unmarried") and those that are true because of the way things happen to be (like "Mr. X is a bachelor").
Thus, in the logical positivist account, analytic propositions had to be sharply distinguished from synthetic propositions.
a priori knowledge of synthetic propositions, empiricists would say, is not possible.
This way of responding to Quine's objection requires us to specify still more precisely just what Carnap thought he was doing when he employed the distinction between analytic and synthetic propositions.
Collingwood's critique of Ayer, in An Essay on Metaphysics, is aimed at showing that the heuristic principles which govern forms of enquiries are neither tautologies nor synthetic propositions, but are nonetheless meaningful.
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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