Philosophical paradoxes will remain paradoxes until we integrate all three entities into 'a' system we can understand Science is probing the universe aimlessly. It is 'aimless' because the mission statement of science has no 'directed' momentum. Science takes it discoveries as they come and moves towards other discoveries based upon what has come about in terms of scientific discoveries. There is no philosophical model of a 'universal model', which includes a theoretical purpose of the universe itself which science strives to confirm. The overall picture of the universe remains invisible to science because philosophy has failed to provide the vision of a 'larger' picture of the universe.
Philosophy is responsible for providing a model explaining the purpose of the universe itself.
Such a model is needed by science in order for science to establish a 'directed' effort attempting to prove or disprove purpose, significance of the universe and the elements found within the universe, namely ourselves. Such a model is the task of philosophy to develop. Science measures, probes, and observes the universe. Mathematics formulates the universe. Religion stabilizes actions of free will within the universe.