The phrase "a further assumption" is correct and usable in written English.
It can be used when introducing an additional premise or belief that is being considered in a discussion or argument.
Example: "In order to strengthen our argument, we need to make a further assumption about the data's reliability."
Alternatives: "an additional assumption" or "a subsequent assumption".
Prof Sandel is keener to debunk a further assumption of the economist, which is that markets serve and do not shape people's priorities.
A further assumption, that high speed rail is green, is open to question when the carbon costs of construction and very high operating speeds are taken into account.
This is generally followed by a further assumption that if pupils learnt more they would be better able to gain qualifications and employment, which may lead to reductions in teenage pregnancies and crime.
A further assumption must be made.
To this aim, we require a further assumption on the boundary of Ω: Moreover, a technical lemma below is needed.
This leads us to making a further assumption that the diffusion coefficients D A and D B are equal, i.e., δ = 1 (Chaudhary and Merkin [18]).
In the electronic supplementary material, we show that the main results apply qualitatively even if some of these assumptions are relaxed (a further implicit assumption is that males and females have similar LHs and mutation rates; see [ 4, 5] for methods to account for sex-specificity).
Keynes makes one further assumption: the a priori probability that each generator property is present in a group is positive.
A numerical study is conducted in two dimensions that compares the intensity gain of the fully time-dependent coupled mode system with the gain computed under the further assumption of a strongly damped ion acoustic response.
This was to be achieved by setting forth a number of "first principles" concerning the continuum akin to the axioms and postulates of Euclid's Elements and then demonstrating that the further assumption that a continuum is composed of indivisibles leads to absurdities (see Murdoch [1957]).
The further assumption of a monotonic, if not linear, relationship between dose and effect is used as the foundation for modern risk assessments, where the effects of high doses are used to predict effects – and lack of effects – at lower doses.
