Statement Justification Negation =(paq)v(-pat) laws =(paq)v~p i. =(pv-p)^(qv-p) i. =ta(qv-p) ii.

Q: Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be…

A: We have to identified the statment is true or false  With the help of possibilities we find the…

Q: Explain the purpose of statements and reasons in a formal proof. Once you've done that, give me a…

A:

Q: The following 4 arguments are valid. Provide a proof of validity for each argument. You can use the…

A: Since you have posted a multiple question according to guildlines I will solve first (Q22)question…

Q: For the three-part question that follows, provide your answer to each part in the given workspace.…

A: In the given statement, the variables are the actions that Winston can perform and the number of…

Q: De terminé if V and logically equivalent are not or

A:

Q: Identify the contradiction.  If I sing a song today, then I will sing a song today.  I will sing a…

A: First, let's understand the statements given. There are four statements:If I sing a song today, then…

Q: (pr) ^ (qp)

A: See next step for truth table

Q: 2. Use the laws of logic to simplify (-p A-q) v (p A¬q) as far as possible.

A:

Q: How do we identify if a hypothetical argument is valid or not?

A: Hypothetical argument includes conditional statements like if-then statement  along with possible…

Q: Translate the argument into symbolic and then determine whether the argument     is valid or…

A: Given: If you pass general chemistry then you can take organic chemistry. You pass general…

Q: INSTRUCTIONS: Fill out the truth table with "T" or "F". Complete the truth table below and answer…

A:

Q: Given P(A) = 0.5, P(B)=0.5, P(C) = 0.3. A and B are independent, A and C are disjoint. What is the…

A: P(A)=0.5, P(B)=0.5, P(C)=0.3

Q: Answer T if the argument below is valid; F if it is invalid. No vegetarians eat meat. All vegans are…

A: Let 'p' denotes vegetarians, 'q' denotes those who eat meat and 'r' denotes vegans. Given statement…

Q: Consider statements p and q. p: More freshmen chose to major in history than in nursing. q: Math was…

A:

Q: State in geometric language, then prove (also geometrically): (a + b + c)² = a² + b² +c² + 2ab +…

A: We have given,     (a + b + c) ^ 2 = a ^ 2 + b ^ 2 + c ^ 2 + 2ab + 2ac + 2bc

Q: Determine if the argument is valid. Justify your answer.   If I exercise, then I will lose weight.…

A: Let us denote the given statements by p and q.  p:I exerciseq:I loose the weight. To verify whether…

Logic and Proofs

Discrete mathematics deals with the separated values of data such as integers. It is widely used in the practical field of computer science and mathematics. By knowing discrete mathematics one can improve their reasoning and problem-solving capabilities. Discrete mathematics became popular after the boom of computers which operate in discrete steps and store data in discrete bits. It also useful in studying computer programming, algorithms, and cryptography.