MHB Writing a statement symbolically

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The discussion focuses on expressing statements symbolically using the predicates P(x) for "x is an accountant" and Q(x) for "x owns a Porsche." The first statement, "Some accountants own a Porsche," can be represented as ∃x (P(x) ∧ Q(x)). The second statement, "All owners of Porsche are accountants," is symbolized as ∀x (Q(x) → P(x)). Participants are encouraged to share their attempts at these symbolic representations. The conversation emphasizes the importance of correctly translating verbal statements into logical symbols.
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Let P(x) denote the statement "x is an accountant", and let Q(x) denote that statement "x owns a Porsche".Write the following statements symbolically.

i) Some accountants own a Porsche.

ii) All owners of Porsche are accountants.
 
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First trick I learned this one a long time ago and have used it to entertain and amuse young kids. Ask your friend to write down a three-digit number without showing it to you. Then ask him or her to rearrange the digits to form a new three-digit number. After that, write whichever is the larger number above the other number, and then subtract the smaller from the larger, making sure that you don't see any of the numbers. Then ask the young "victim" to tell you any two of the digits of the...

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