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"Two Dogmas" is divided into six sections. The first four sections are focused on analyticity, the last two sections on reductionism. In the last two sections, Quine turns the focus to the logical positivists theory of meaning. He also presents his own holistic theory of meaning.
Most of Quine's argument against analyticity in the first four sections are focused on showing that different explanations of analyticity are circular. The main purpose is to show that no satisfactory explanation of analyticity has been given.
Quine begins by making a distinction between two different classes of analytic statements. The first one is called logical true and has the form:
A sentence with that form is true independent of the intepretation of man and married, so long as the logical particles "no", "un-", "and" etcetera has the same meaning.
The statements in the second class have the form:
A statement with this form can be turned into a statement with form (1) by changing synonyms with synonyms, in this case bachelor with unmarried man. It is the second class of statements that lack characterization according to Quine. The notion of the second form of analyticity leans on the notion of synonymy, which Quine believes is in as much need of clarification as analyticity. Most of Quine's following arguments is focused on showing how explanations of synonymy ends up being dependent on the notions of analyticity, necessity or even synonymy itself.
So how do we reduce sencentences from the second class to a sentence of class (1)? Some might propose definitions. "No bachelor is married" can be turned into "No unmarried man is married" because "bachelor" is defined as "unmarried man". But how do we find out that "bachelor" is defined as "unmarried man", Quine asks. Clearly, a dictionary would not solve the problem, as a dictionary is a report of already known synonyms, and thus is dependent on the notion of synonymy which Quine holds as unexplained.
A second suggestion Quine considers is an explanation of synonymy in terms of interchangeability. Two linguistic forms are according to this view synonymous if they are interchangeable salva veritate, in all contexts without change of truth value. But consider the following example:
Obviously "bachelor" and "unmarried man" are not interchangeable in that sentence. To exclude that example and some other obvious counterexamples such as poetic quality Quine introduces the notion cognitive synonymous. But does interchangeability hold as an explanation of cognitive synonymy? Suppose we have a language without modal adverbs like "necessarily". Such language would be extensional, in the way that two predicates which are true about the same objects are interchangeable salva veritate. Thus, there is no assurance that two terms that are interchangeable salva veritate are interchangeable because of meaning, and not because chance. For example, "creature with a heart" and "creature with kidneys" share extension.
In a language with the modal adverb "necessarily" the problem is solved, as salva veritate holds in the following case:
while it does not hold for
But to say (4) is according to Quine to say that the sentence "All and only all bachelors are unmarried men" is analytic. So for salva veritate to hold as a definition of synonymy we need a notion of necessity and thus of analyticity.