Question

Discrete Maths ( Please use a concise and clear explanation as well because these I tend to get confused with these kind of question like which quantifiers to use and also the placement of the paranthesis)

Statements with nested quantifiers: English to logic, part 2.

The domain for the variables x and y are the set of musicians in an orchestra. The predicates S, B, and P are defined as:

• S(x): x plays a string instrument
• B(x): x plays a brass instrument
• P(x, y): x practices more than y

Give a quantified expression that is equivalent to the following English statements:

(c) There is a brass player who practices more than all the string players.

(d) All the string players practice more than all the brass players.

(e) Exactly one person practices more than Sam.

(f) Sam practices more than anyone else in the orchestra.

Answer 1

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Kind regards.