Subjects logic

Logical Implications

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Logical Implications


1. The problem statement involves understanding the logical implications denoted by the arrows → in the expressions $p \to q$ and $q \to p$. 2. In logic, $p \to q$ means "if p, then q"; this is a conditional statement. 3. Similarly, $q \to p$ means "if q, then p". 4. Since there are three arrows stacked vertically as $p \to q$, $q \to p$, and $q \to p$, it suggests repeated conditional relationships between $p$ and $q$. 5. The expressions could also imply equivalence if both $p \to q$ and $q \to p$ are true, meaning $p \iff q$. Final conclusion: The arrows represent conditional statements in logic, specifically the implications $p \to q$ and $q \to p$.