"take up ideas" is correct and usable in written English.
You can use it when you are talking about someone beginning to explore a particular set of thoughts and concepts. For example: "At the start of the meeting, the group decided to take up ideas for the next project."
Thurston also took up ideas about the discrete isometry groups of hyperbolic three-space, first investigated by Henri Poincaré and later studied by Lars Ahlfors.
In our new report Which Doctors Take up Promising Ideas?
Yet Plato did take up many ideas from earlier Greek religion, especially from the Pythagorean brotherhood and from the Eleusinian communities, and often described his philosophy in terms derived from the mysteries.
In this section we take up two ideas much discussed by commentators.
If a person makes an important discovery but social moods do not change, she will not find people who take up her ideas and continue research.
These features are not conceptually difficult and are easy to measure, so it is not surprising that PSTs were able to easily take up the ideas and relate them to the context.
But until and unless my students take up their ideas and ideals through concrete, meaningful and sustainable actions, all we have are words.
Taking up an idea of Bean's, Treloar also oversaw the development of several dioramas depicting key Australian battles of the war and engaged professional artists to make the models.
Taking up this idea, the initial set of the three previously identified Yfr1 sequences from Prochlorococcus MED4, MIT9313 and Synechococcus WH8102 plus the novel putative orthologs from the marine Synechococcus/Prochlorococcus were subjected to a comparative sequence/structure analysis.
In the next section we will take up the idea that descriptions might be thought of as predicates, and in the final section we will see if there is a remaining role for determiners to play.
