A formal system is complete if for every statement of the language of the system, either the statement or its negation can be derived (i.e., proved) in the system.
In Section 3, I argue that the apparent contradictions and inconsistencies of Berkeley's statements on language can be reconciled, if and only if we view them as grounded in the complex architecture of the two-languages metaphysics, or linguistic Platonism.
Shortcode went through multiple steps: first it converted the alphabetic statements of the language to numeric codes, and then it translated these numeric codes into machine language.
Poss and Nec are metalinguistic statements, statements of a language — in this case, English enhanced with a bit of logical apparatus — made about the statements in (typically) some other language — in this case, the statements of some (unspecified) modal language ℒ.
The first incompleteness theorem states that in any consistent formal system F within which a certain amount of arithmetic can be carried out, there are statements of the language of F which can neither be proved nor disproved in F. According to the second incompleteness theorem, such a formal system cannot prove that the system itself is consistent (assuming it is indeed consistent).
The latter consisted of a set of logical axioms (statements considered to be truths of logic) and a set of rules of inference that lay out the conditions under which certain statements of the language may be correctly inferred from others.
Example thesis statements with good statement language include: "Because of William the Conqueror's campaign into England, that nation developed the strength and culture it would need to eventually build the British Empire".
Donald Trump's handshake is a signed statement on the failure of language here at the end of the world.
But with repeated readings, the meanings of the words reveal themselves in a surprisingly effective statement on the nature of language… or is it the language of nature?
Each investigator kept field notes regarding the application of the questionnaire, including the degree of comprehension of each statement, the language terms used, views on the length of the interviews and any adverse comments about them.
