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I ought to start by clarifying the quote. The 'whole thing' I was referring to was the cloud of dust and gas from which the solar system formed, not the whole universe. Whether the universe as a whole is spinning is a whole different question, where the mind struggles to get around the concept of 'spinning with respect to what' given that there may be nothing else. It is possible it does spin (see this article) but we certainly don't know for sure.
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Similarly as the solar system forms, the cloud of gas and dust picks up an increasing spin, which produces the flattened disc shape of both galaxies and solar systems. Yet again, planets spin increasingly quickly as they condense under gravity. The real oddity here is Venus, which rotates in the opposite way to expectation. There is a theory that this could be due to a massive collision, but there is no good evidence for this (other than the spin), so at the moment it is arguably an intriguing mystery.
If you fancy a little mental challenge yourself, you can take a look at Gravity on Amazon.co.uk and Amazon.com.
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