Quote from first link:
I&T Today: You recently made a lot of headlines with your discoveries regarding the possible existence of a higher intelligence. Could you explain what you found?
Michio Kaku: There is a website that quoted me incorrectly. That’s one of the drawbacks of being in a public sphere: sometimes you get quoted incorrectly. And the reference I saw said that I said that you can prove the existence of God. My point of view is different. My own point of view is that you can neither prove nor disprove the existence of God.
Science is based on what is testable, reproducible, and falsifiable. That’s called science. However, there are certain things that are not testable, not reproducible, and not falsifiable. And that would include the existence of God.
For example, look at reincarnation. If somebody at a cocktail party says that they are Cleopatra or Julius Caesar, how do you disprove that? How do you falsify that? Well, you ask some simple question and they get it wrong. Then you say, “Ha! I falsified your statement.” And they say, “No, the history books are wrong…How do I know the history books are wrong? Because I am Cleopatra. I am Julius Caesar.”
At that point, the conversation is over. You begin to realize that no matter how you falsify that statement they can come back and say, “No, no, no, the history books are wrong.” And, how do you falsify that? You cannot. So, there are certain statements that are not falsifiable.