The phrase "a collection of premises" is correct and usable in written English.
It can be used when discussing a set of statements or propositions that form the basis for an argument or theory.
Example: "In his essay, he presented a collection of premises that supported his main thesis on climate change."
Alternatives: "a set of premises" or "a group of premises".
A collection of premise sentences logically entails a conclusion sentence just when the negation of the conclusion is logically inconsistent with those premises.
This account has the added virtue of having the special case of an empty collection of premises.
For such reasons, many have taken the relation of logical consequence to pair an arbitrary (possibly infinite) collection of premises with a single conclusion.
The structural rule of weakening for example, states that if an argument from some collection of premises X to a conclusion C is valid, then the argument from X together with another premise A to the conclusion C is also valid.
SnapLogic, for example, has built a collection of "snaps" to connect enterprise, on-premise software with SaaS technologies.
The image is part of Curtis's "Volte-Face" series, a collection of photos united by a similar premise: when he visits a tourist site, Shaw faces the attraction, turns around 180 degrees, and snaps what he sees.
The suitability of the model is assessed by using a collection of zeolite NaA membranes prepared on our premises for the separation of ethanol/water mixtures.
The underlying premise is that a collection of single-cells will most likely contain cells at different stages during a dynamic process (e.g. differentiation) and profiling their gene expression will allow for the reconstruction of cascades of gene expression changes placing cells in a pseudotemporal order.
Arguably, Leibniz's views concerning space and motion do not have a completely linear logic, starting from some logically sufficient basic premises, but instead form a collection of mutually supporting doctrines.
In West Yorkshire, father and son Paul and Sam Gibbons returned to the flooded Todmorden premises in which they share businesses to find that a collection of bikes worth £20,000 had been stolen from Sam's bike shop, Cycle Factory.
Whereas it seems that all premises are acceptable, because the first premise is true and one grain does not make a difference to a collection of grains being a heap or not, the conclusion is, of course, unacceptable.
