Let the universe of discourse be NBA players (active and retired), C(x) mean "x has won an NBA championship", "T(xy) means "x is the same height as or taller than y", and k = Kareem Abdul-Jabbar. Consider the following two statements: Væ[C(x) → -T(x, k)] -3z[T(x, k) A C(x)]. The second statement claims Kareem is the tallest player to win an NBA championship, but the first does not. These equivalent statements both say Kareem is the tallest person to win the NBA championship. These equivalent statements say Kareem is taller than anyone who won the NBA Championship, but they don't say anything about whether Kareem won. The first statement claims Kareem is the tallest to win the NBA championship, but the second does not.
Let the universe of discourse be NBA players (active and retired), C(x) mean "x has won an NBA championship", "T(xy) means "x is the same height as or taller than y", and k = Kareem Abdul-Jabbar. Consider the following two statements: Væ[C(x) → -T(x, k)] -3z[T(x, k) A C(x)]. The second statement claims Kareem is the tallest player to win an NBA championship, but the first does not. These equivalent statements both say Kareem is the tallest person to win the NBA championship. These equivalent statements say Kareem is taller than anyone who won the NBA Championship, but they don't say anything about whether Kareem won. The first statement claims Kareem is the tallest to win the NBA championship, but the second does not.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 32EQ
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