Project 1: Analyzing Areuments (Validity Studies). We learned Mathematical philosophy (Basic Logical studies) for few weeks, and We discussed simple, yet important, logical concepts which can be used to identify the validity of an argument. Please carefully follow all the instructions below to complete this project. If not, you will lose points for each missing step. You must complete this project using Microsoft word. Handwritten projects will not be accepted. 1. (15 points) Create your own (a unique) logical argument. Your Argument should consist of at least three premises followed by a conclusion. WARNING: You are not OB LL L] o (1| 1 LS L) 1Ll Ol | (A L amily e LS T 'y LV - n * I (15 points) Your premises must include at least one conditional statement and one alternative form (of p = q). (10 points) Carefully set up the arguments separating Premises and the conclusion., For an example: No Sweets are not good for teeth If | can avoid sweets, | can avoid the dentist. [ can't avoid the dentist. 4 I have bad teeth, (10 points) Name each proposition using letters. For an example vou can name the proposition \"I can avoid sweets\" as p and \"I can avoid dentist\" as g etc. 2 T ~$3 ~D D 5T {(Warning: This is just a sample. This argument may have serious flaws) (20 points) Check the validity of your argument using Euler diagram method. (20 points) Check the validity of your argument using Truth Table method. (10 points) Use equivalence forms of the conditional statement (converse, inverse and contra-positive) to check the validity of your model