Problems with analytic expressions are possible tautology. They tend to repeat what is already contained in the subject of the expressions e.g. "A bachelor is an unmarried male." viz. they don't increase or add new knowledge.An analytic expression x is any expression of language verified as completely true (or false) entirely on the basis that x (or ~x) is derived by applying truth preserving operations to other expressions of language that are stipulated to be true thus providing the semantic meaning of terms. — PL Olcott
Problems with analytic expressions are possible tautology. They tend to repeat what is already contained in the subject of the expressions e.g. "A bachelor is an unmarried male." viz. they don't increase or add new knowledge. — Corvus
Still doesn't change the fact that it doesn't add any new knowledge or facts into the concept unless it was used with the real world situations or observations.All of the knowledge of the actual world is defined as the stipulated meaning of terms and stipulated relations between terms in an inheritance hierarchy knowledge ontology specified as Rudolf Carnap / Montague grammar meaning postulates. The term Bachelor(x) is stipulated to mean: Adult(x) & Male(x) & ~Married(x) defined in terms of the constituent parts that comprise it. — PL Olcott
Still doesn't change the fact that it doesn't add any new knowledge or facts into the concept unless it was used with the real world situations or observations. — Corvus
But we can see also Quine's point that analytic expressions are meaningless, because the meanings of the words change through time. And most of all, there is no logical explanation why words have the meanings. — Corvus
Tautology, in logic, a statement so framed that it cannot be denied without inconsistency. Thus, “All humans are mammals” is held to assert with regard to anything whatsoever that either it is not a human or it is a mammal. https://www.britannica.com/topic/tautology
In epistemology (theory of knowledge), a self-evident proposition is a proposition that is known to be true by understanding its meaning without proof, https://en.wikipedia.org/wiki/Self-evidence
Yes, but Quine might ask, what about in the case of, when a married woman claims that she is a Bachelor, and you ask how is it possible? She replies "My names is a Bachelor."This is more clear when we understand that the above finites strings of {"Bachelor", "Male", "Adult", "¬Married"} are totally different across different human languages. — PL Olcott
I think his point is that an analytic system must be able to interact with the external world input data for it to be useful. — Corvus
SO, on the presumption that there is indeed a small black dog in your living room right now, and the view that facts are analytic, does it follow that it is not a fact that there is a small black dog in your living room right now? And this despite there being a small black dog in your living room right now?That there is a small black dog in my living room right now is synthetic. — PL Olcott
There are synthetic facts, too. So what is it that Quine did not understand? — Banno
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