This position paper argues that professional responsibility and ethical reflection are relevant to everyone educated and working in the computational sciences: not only in areas with direct applications in the center of societal developments (such as cybersecurity and artificial intelligence), but also in more theoretical parts of the field. While work has been done to translate (parts of) ethical issues into formalized requirements, implementation guidelines, and performance measures for moral values (such as trust, privacy, fairness), the engagement with ethics and moral responsibility of the field is yet to be adopted more systematically. We aim to clarify the need for the incorporation of ethical reflection across the computational sciences and to address the role of education in getting there.