Math Problem Statement

If it is the Day of the Dead and there are no ofrendas (altars) then the spirits will not be honored The spirits will be honored if and only if there are ofrendas There are no ofrendas Therefore, the spirts will not be honored

Symbolic Form: Let p= It is the day of the dead q= there are ofrendas r= spirits will be honored Is this correct following these rules Write a new logical argument that does not follow one of our standard forms. Write the argument both in words and in symbolic form. The argument must meet these minimum criteria:
This must consist of at least two premises and one conclusion. The argument may be valid or invalid (your choice). You must use three simple statements p, q, and r (in combination with connectives) to create your statements. Your statements must use at least two connectives from the list below (for full points, use at least three). And Or If… then… Not If and only if The argument should not contain a quantifier (all, every, some, none). The premises and argument should sound reasonable (meaning it would be accepted by a reasonable person, such as “robins lay eggs”). The premises should be internally consistent (meaning they can both be reasonably accepted at the same time). For example, if one premise is "you go to the store" and a second premise says "you did not go to the store and you stayed home" then these cannot both be accepted at the same time. “Original” means that you have given your own example. Do not use examples from the textbook, class activities, student sample, or other sources. Both the WORDS and the SYMBOLIC FORM of your argument must be original. This means it is different from the student sample provided and different from the similar types of examples from in class activities. Create your own original work. Include your solution to determine if the argument is valid. Include these steps in your solution:
Write the statement that would be used in the truth table to verify validity. For example, in the video on the law of detachment, we used [(p → q) ∧ p ] → q. Complete the truth table to determine if the form is valid or invalid. State whether your argument is valid or invalid.

Solution

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Math Problem Analysis

Mathematical Concepts

Propositional Logic
Logical Arguments

Formulas

Modus Tollens
Implication (If... then...)
Bi-conditional (If and only if)

Theorems

Modus Ponens
Modus Tollens

Suitable Grade Level

Grades 9-12