The Conditional Statement p → q and Reasoning for ∴ q

pp→q_______∴ q

The given statement “pp → q” is a conditional statement in symbolic form

The given statement “pp → q” is a conditional statement in symbolic form. Let’s break down what this means:

In this statement, “p” represents a proposition or statement that we don’t know about. It could be true or false, but we haven’t been given any specific information about it.

The double arrow “→” represents implication or “if-then” in logic. So, “pp → q” can be interpreted as “if p is true, then q is true.”

Now, let’s move on to the reasoning provided:

“_______” represents a blank space or missing information. We need something to fill in this blank to complete the reasoning.

The reasoning provided, “∴ q,” tells us that “q” is true. The symbol “∴” represents the conclusion or “therefore” in logic. So, we are given that q is true based on the reasoning provided.

To complete the reasoning and fill in the blank, we can conclude that the missing information in the blank should be “p is true.” This is because the given conditional statement “pp → q” implies that if p is true, then q is true. And since “q” is stated to be true, it follows that “p” must also be true in order for the conditional statement to hold.

Therefore, the complete reasoning can be written as “p is true ∴ q.”

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