The phrase "first two premises" is correct and can be used in written English.
For example: The argument began with two premises: first, that the legal drinking age should remain 21, and second, that a drinking education program should be implemented in all schools.
However, after the 2008 financial crisis, the first two premises have been increasingly rejected.
The first two premises are relatively uncontroversial.
The first two premises of the argument are empirical.
Hume's early critics objected vigorously to the claims embodied in the first two premises.
Moreover, in light of the proceeding discussion it is clear that the first two premises are ambiguous.
In the previous two sections, we discussed various ways of challenging the first two premises of the argument for coincident entities.
The first three budget premises means that taxes and defense will contribute more to the deficit, and Medicare and Social Security aren't available for quick savings.
An argument for Shaw's contemporary relevance must establish two premises: first, that his ideas about equality are worth discussing; and second, that his allegiance to Moscow and hostility to democracy marked a rupture with Shaw's Fabianism rather than a natural extension of it.
The choice on how to reward high performance will depend on two premises; first, as for enabling performance, on the ability to quantify performance and second, the context in which the performance expectation is formulated (see question 3).
In the learning phase of the reasoning condition, participants had to integrate the presented information from three premises, where the first two were not related until the third premise appeared (A > B was followed by C > D and in the end by B > C).
This view is based on two premises: first, that NOAELs are a good approximation of "safe" doses of pollutants; and second, that the distinction between "similarly" and "dissimilarly" acting chemicals in a mixture is straightforward and of relevance to the risk assessment issue at hand.
