Hi, Brendan. Thanks for your comment about The parsing of 4a. I only had to read the first few words of what you said, and it became blindingly obvious. That meaning of "in court" should have been obvious to me once I realised what the solution was, and I can't imagine why I didn't get it. As for "formal hypothesis", if Chambers says so then I have to accept it, but as a mathematician I can categorically say that the accepted meanings of the two words in mathematics are totally incompatible. A hypothesis is, basically, an unproven assumption, whereas a ....... is certainly not unproven; that is the whole point. However, I'm willing to take Chambers's word for it that the word has been used for a formal hypothesis. When I posted my previous post, something happened which I find happens remarkably often: as soon as I posted my message saying how stuck I was, my brain clicked into action, and within a few minutes I had solved as many clues again as I had previously solved by struggling for ages. I really don't know why that happens. However, I then had to leave the crossword to do other things, and I have only just come back to it, so I still have quite a few to do. Wish me luck.