A convergence is a coming together of many things and in this context, a coming together of last days' signs the Bible told us to watch for. These signs are exploding. We don't just watch them; now we almost feel them. Here's a sample:
1) The "days of Noah" similarities have never been stronger. Corruption and violence characterized times then and now. There was genetic manipulation then and now. There was a preaching of the truth that was ignored. A decline in man's character was dramatic then and now. Earthly pleasures were all that mattered. (Matt. 24, Luke 17)
2) Other than at her birth on May 14, 1948, Israel's modern-day significance has never been so significant. She is the center of the earth in so many ways: Politically, spiritually, geographically. Middle East tension or peace depends on her activity and choices. She could strike Iran any day and the entire globe would be destabilized. (Ezekiel 36-39)
3) Russia and Vladimir Putin are rising and Gog from the land of Magog may be stirring. We don't know for sure that Putin is Gog, but he is Gog-esque. He's a Czar wannabe and a tyrant and he will likely not stop with Crimea or Ukraine. (Ezekiel 38-39)
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http://archive.constantcontact.com/fs138/1101818841456/archive/1117023242643.html
The Convergence of the Signs: They are All Coming Together - Pastor Skip Heitzig
http://www.oneplace.com/ministries/understanding-the-times/listen/the-convergence-of-the-signs-they-are-all-coming-together-402289.html