In p-->q what's the premise ?

Q: Using the truth tables, say if this is a tautology or a contradiction (A->B)-> (B'-> A')

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Q: Differentiate between premise, conclusion and inference, give an example of each.

A: Premise, conclusion and inference.

Q: unlike a theory, a hypothesis is stated in a way that is: important logical  relevant  testable

A: Hypothesis is tentative,an assumption made strictly for the objective of being tested . Therefore…

Q: Suppose p is false and q is true. What is the truth value of "q if p"? True False

A: Given: p is false and q is true. We have to find the truth value of "q if p".

Q: 12. What can you conclude from (PV Q) ^ ¬P? Prove it.

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Q: Anitemwill need replacing in 6 years from now at a cost of P128,000.00. How much should the owner…

A: By Bartleby policy I have to solve only first one as these 2 are unrelated problems     *** This is…

Q: 9) Use rules of inference to show that the hypothesis "Randy works hard", "If Randy works hard, then…

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Q: qV[~(q^r) ~q]

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Q: Is the statement (p Aq) (pV q) a tautology, contradiction, or neithe Tautology Contradiction Neither

A: Concept: A statement that is always true is called Tautology whereas a statement that is always…

Q: Calculate the truth values (assuming p T₁ q = F₁ r = F) a. ¬рv(¬^¬r) - b. (pv-q) ^ (p vr) ||

A: The truth table of ∨ is p q p∨q T T T T F T F T T F F F The truth table of ∧ is p…

Q: Use the eighteen rules of inference to derive the conclusions of the symbolized arguments. The…

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Q: Arg((v3+ i)"). 17

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Q: a) Construct the truth table for PA (¬Q) b) Is PV (¬Q) equivalent to the statement P Q? Give a brief…

A: a) Construct the truth table as follows. PQ¬QP∧¬QTTFFTFTTFTFFFFTF

Q: a) Determine whether the arguments are valid or not: The system will crash only if it gets upgraded.…

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: If p is false, q is false, and r is true, find the truth value of the statement below.…

A: making table and solving easily breaking the given logical operation and by using and ,…

Q: Given: p = true q = true r = false Which expression has the same truth value as (p v q) / r? q^…

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Q: Q.5) Use a truth table to determine whether the argument is valid or invalid. а. p ->~q b. (-p v q)…

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Q: When a claim or assertion is involved in hypothesis testing, the null hypothesis is always the same…

A: If the original claim includes equality (<=, =, >=), it is the null hypothesis and If the…

Q: The contrapositive of the statement p>q is

A: If the conditional statement is  p⇒q then the contrapositive statement is  ~q⇒~p

Q: In proving this argument, what rule of inference is used below: If I study hard, I will get rich. |…

A: 1) Modus tollens (option C) Modus tollen: Latin for "method of denying." A rule of inference drawn…

Q: If I study hard, I will graduate with flying colors. If I graduate with flying colors, I will be…

A: Here use basic rule of implications and some standard form of argument validation

Q: 13. Foofy studies if hearing an argument in favor of an issue alters participants' at- titudes…

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Q: А. а —> (bлс) (ьле) —d ..a»d jak В. :(j^k)V(I^m)

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Q: What is the truth value of Hx e {1,2, 3, 4, 5, 6} such that 2" = 3x.

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Q: For each statement, express the null hypothesis ?0H0 and alternative hypothesis ?1H1 in symbolic…

A: The objective of the question is to identify the correct null and alternative hypotheses for the…

Q: A nondirectional assertion would involve what kind of test? one-tail test p-value test O two-tail…

A: Solution-: A non directional assertion would involve what kind of test? (a) one tailed test (b)…

Q: Which is the contrapositive of A==> B? (a) B ==> A (b) -,B ==> A (c) -,B ==> -,A (d) -,A…

A: Which is the contrapositive of A==> B?

Q: Let A=[(~p^q)v ~ r]→(q^r). Construct a truth table for A. Hence find the principal conjunctive…

A: A≡~p∧q∨~r→q∧r Truth table is as follows p q r ~p ~r ~p∧q ~p∧q∨~r q∧r ~p∧q∨~r→q∧r T T T F F F F…

Q: 1. ~(AV B) — с 2. ~A 3. ~С Show that (1) – (3) entails B

A: We have to show that (1)-(3) entails B using the rule of inference.

Q: Suppose p is false, q is false, s is true.. Find the truth value of (s Vp) A (q A~s)

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Q: 11. Explain the "Tow Wrongs Make a Right Fallacy" and show one example with your name in it.

A: Sol

Q: b) If p → q is false, what is the truth value of ((¬p) ^ q) → (p V q)? Explain your answer.

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Q: Hi there! is ~ the same as the symbol in the question?

A: Given: p∨¬p∧q is a tautology The given query is the symbol ~ and ¬ are same or not. and verify the…

Q: discrete math Use truth tables to show that ~ (p →→q) and p^~ q are logically equivalent

A: Given that the statement ~p→q  and  p∧~q  .

Q: Please explain true or false Using the rule of inference; thank you. 1, (sv)→ ¬p,p, v S

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Q: 18. Deductive Reasoning is the process of reaching a general conclusion by examining specific…

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Q: he difference between validity and reliability is that validity wants to know what is being tested…

A: Reliability is about the consistency of a measure, and validity is about the accuracy of a measure.…

Q: (-pAq) v (pA-q) is a tautology

A: Tautology means always True.

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.