Graphical AbstractCommunication and common understanding between politicians, scientists, and the society can lead to evidence-based science policy, a core principle that guides high caliber research and open innovation for a sustainable future.

Responsione nostra disputationem cum L. Novák prosequimur, qui tractationem nostram, cui titulus “Různá pojetí matematiky u vybraných autorů od antiky po raný novověk”, impugnavit. Impugnatio a L. Novák sub titulo “Tomáš Akvinský instrumentalistou v matematice?” conscripta ansam praebuit nobis ad nonnulla, quae dixeramus, non solum clarius, sed etiam latius ac profundius explananda. Qua in re inprimis ad hoc attendimus, quomodo S. Thomas mathematicam, scientiasque medias necnon philosophiam intellexerit. Adhuc in nostra sententia sistimus, duplicem scil. ac valde diversam interpretationem harum (...) disciplinarum proponi posse. Quamquam multi textus testantur, S. Thomam mathematicam scientiasque medias realistice intellexisse, inveniuntur tamen apud eum dicta nonnulla, quae interpretationi favent instrumentalisticae. Hanc duplicem interpretationem prae oculis ponere multum iuvat, nostro iudicio, ad subsequentem intellectualem historiam, praecipue modernae aetatis, adaequate intelligendam.In our contribution we continue our discussion with L. Novák, who criticised our paper “Různá pojetí matematiky u vybraných autorů od antiky po raný novověk.” Novák’s critique titled “Tomáš Akvinský instrumentalistou v matematice?” served as an incentive for us not only to clarify certain points, but also to deepen our original exposition. We focused on Aquinas’s understanding of mathematics, the middle sciences and philosophy. We still insist that two substantially different interpretations of these disciplines are possible. On the one hand, there is much evidence for Aquinas’s realistic approach to mathematics and the middle sciences. On the other hand, ideas can also be found in Aquinas’s texts supporting an instrumentalist reading. In our opinion, it is important to point out these two approaches to the mathematical sciences in order to adequately understand the subsequent evolution of the history of ideas, especially in the modern period. (shrink)