The phrase "a more general commitment" is correct and usable in written English.
You can use it when discussing a broader or less specific obligation or promise in various contexts, such as personal, professional, or social commitments.
Example: "The organization is seeking a more general commitment from its members to support community initiatives."
Alternatives: "a broader commitment" or "a wider commitment".
A new Commission for Equality and Human Rights might help to promote this, but only if accompanied by a more general commitment to rights values.
This idea evolved into a more general commitment to have our undergraduate students engage fundamental human debates, dilemmas and discourses, both as the means to develop critical thinking and for the purpose of becoming active citizens of our world.
Time For Action, published in November 2008, set out seven policy "strands" (page 53), each informed by contributions to seminars held by the Mayor the preceding September (see page 62) but also a more general commitment to increasing support and opportunity for the young, in particular the less advantaged.
This reflects a more general commitment on Davidson's part to the inseparability of questions of ontology from questions of logic.
As a result, Hieronymi concludes that Sher has failed to show that blame which must involve such dispositions is essentially tied to a more general commitment to morality.
The surveys were part of a more general commitment to make the National Health Service (NHS) more responsive to patients.
Philosophical discussions of pacifism have clarified the concept by distinguishing the more general commitment to nonviolence from a narrower anti-war position.
One can argue that although he left open the possibility of action at a distance in his main work, Newton himself did not accept that possibility because of his more general commitments (Janiak 2008 and forthcoming).
But the IMF is indicating more borrowers will appear soon, and the summit failed to produce a more general set of commitments.
Indeed, they suggest that Quinean approaches that focus on the values of the variables of quantification should be jettisoned for a more general entailment approach to ontological commitment (§2).
At a more general level, it seems that the commitments made through the Agenda for Action during the International Conference on Child Labour in Oslo in 1997 need to be renewed and placed into the framework of the Millennium Development Goals.
