Consilience

Indeed in all cases in which from propositions of considerable generality, propositions of a still higher degree are obtained, there is a convergence of inductions; and if in one of the lines which thus converge, the steps be rapidly and suddenly made in order to meet the other line, we may consider that we have an example of Consilience.

Source: wiktionary

CONSILIENCE of INDUCTIONS takes place when an induction obtained from one class of facts coincides with an induction obtained from a different class. This consilience is the test of the truth of the theory in which it occurs.

Source: wiktionary

The common pursuit of Truth is of itself a brotherhood. [...] Surely, were each of us to give utterance to all he feels, we should hear the Chemist, the Astronomer, the Physiologist, the Electrician, the Botanist, the Geologist, all with one accord, and each in the language of his own science, declaring not only the wonderful works of God disclosed in it, but the delight which their disclosure affords him, and the privilege he feels it to be to have aided in it. This is indeed a magnificent induction—a consilience there is no refusing.

Source: wiktionary

For centuries consilience has been the mother's milk of the natural sciences. Now it is wholly accepted by the brain sciences and evolutionary biology, the disciplines best poised to serve in turn as bridges to the social sciences and humanities. […] The central idea of the consilience world view is that all tangible phenomena, from the birth of stars to the workings of social institutions, are based on material processes that are ultimately reducible, however long and tortuous the sequences, to the law of physics.

Source: wiktionary