Derivation of (P conditional Q) v P in System SD+

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The discussion centers on deriving the theorem (P conditional Q) v P within the logical system SD+. Participants express difficulty with the derivation and seek assistance. A suggestion is made to create a truth table with columns for P, Q, P → Q, and P → Q ∨ P to clarify the relationships. The importance of understanding the symbols used in the derivation is highlighted, particularly the conditional and disjunction. The conversation emphasizes collaborative problem-solving in formal logic.
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Do a derivation showing that (P conditional Q) v P is a theorem of system SD+

*Sorry guys, I can't figure out how to do the symbol in between (P Q), but it means If P then Q and it is otherwise known as the conditional

-I am really struggling with this problem and I would greatly appreciate any help
 
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Brcummings said:
Do a derivation showing that (P conditional Q) v P is a theorem of system SD+

*Sorry guys, I can't figure out how to do the symbol in between (P Q), but it means If P then Q and it is otherwise known as the conditional

-I am really struggling with this problem and I would greatly appreciate any help
What is system SD+?

Make a truth table with separate columns for P, Q, P \Rightarrow Q, and P \Rightarrow Q \vee P

You need four rows.

To see how I got the "implies" arrow or the V, double-click the expressions that use these symbols, and another window with the LaTeX code opens.
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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