Genesis 10:1

Now these are the generations of the sons of Noah,.... The genealogy of them, and which is of great use to show the original of the several nations of the world, from whence they sprung, and by whom they were founded; and to confute the pretended antiquity of some nations, as the Egyptians, Chaldeans, Chinese, and others; and to point out the particular people, which were to be the seat of the church of God for many ages, and from whom the Messiah was to spring; which seems to be the principal view of the history of Moses, and of this genealogy, with which should be compared 1 Chronicles 1:1 Shem, Ham, and Japheth; see Genesis 5:32

and unto them were sons born after the flood; for they had none born to them either before the flood or in it; they were married before the flood, for their wives went into the ark with them; but it does not appear they had any children before, though they then were near an hundred years old; and if they had, they were not in the ark, and therefore must perish with the rest, which is not likely: Shem's son Arphaxad was born two years after the flood, Genesis 11:10 when the rest were born, either his or his brethren's, is not said; however they were all born after the flood; though some pretend that Canaan was born in the ark y, during the flood, for which there is no authority; yea, it is confuted in this chapter, where Canaan stands among the sons of Ham, born to him after the flood.

y See Bayle's Dictionary, vol. 10. art. "Ham", p. 587.