Rabbi Elazar of Modein said: From the day when the heavens and the earth were created, the name of the mountain was Horeb. When the Holy One, blessed be He, was revealed unto Moses out of the thorn-bush, because of the word for the thorn-bush (S'neh) it was called Sinai (Sinai), and that is Horeb. And whence do we know that Israel accepted the Torah at Mount Horeb? Because it is said, "The day that thou stoodest before the Lord thy God in Horeb" (Deut. 4:10).
Rabbi Phineas said: On the eve of Sabbath the Israelites stood at Mount Sinai, arranged with the men apart and the women apart. The Holy One, blessed be He, said to Moses: Go, speak to the daughters of Israel, (asking them) whether they wish to receive the Torah. Why were the women asked (first)? Because the way of men is to follow the opinion of women, as it is said, "Thus shalt thou say to the house of Jacob" (Ex. 19:3); these are the women. "And tell the children of Israel" (ibid.); these are the men. They all replied (as) with one mouth, and they said: "All that the Lord hath spoken we will do, and be obedient" (Ex. 24:7). (The Scripture also says,) "They that sing as well as they that dance (shall say), All my fountains are in thee" (Ps. 87:7).