Propositional Logic

Welcome to the "Propositional Logic" category on Questions LLC! If you have an interest or need help with understanding the foundations of logic and reasoning, you have come to the right place. This category is dedicated to exploring and answering questions about propositional logic, which deals with the study of propositions, the relationships between them, and the rules that govern their combination and manipulation. Whether you are a student seeking clarification on a concept or a curious individual looking to delve into the fascinating world of logical thinking, our community of experts and users are here to assist you. So, let's embark on a journey of logical reasoning and unravel the fascinating aspects of propositional logic together!

Questions (61)

p → ¬p, p ,r→ q `¬r is valid or invali
1. 4 answers
2. asked anonymously
3. 63 views
(p^q).
1. 4 answers
2. asked by Mathilda Henry
3. 57 views
p → ¬p, p ,r→ q `¬r is valid or invalid
1. 2 answers
2. asked anonymously
3. 82 views
Suppose the domain of the propositional function P(x, y) consists of pairs x and y, where x = 1, 2, or 3, and y = 1, 2, or 3.
1. 3 answers
2. asked by Kid
3. 3,535 views
1 SPOOF IS A SET OF ALL PURRS.2 SPOOF CONTAINS AT LEAST TWO DISTINCT PURRS. 3 EVERY LILT IS A SET OF PURRS AND CONTAINS AT LEAST
1. 7 answers
2. asked by JEFF BOMB
3. 1,616 views
Write the statements in symbolic form. Letp: The temperature is 90°. q:The air conditioner is working. r.The apartment is hot.
1. 4 answers
2. asked by Jen
3. 1,696 views
Consider a propositional language with three propositional constants - mushroom, purple, and poisonous - each indicating the
1. 4 answers
2. asked by qwerty
3. 2,959 views
What is the converse of " If it is snowing, then it must be cold"?a.) If it is cold, then it must be snowing. b.) If it is not
1. 2 answers
2. asked by Lauren
3. 853 views
Write the statement in symbolic form.Let p: The tent is pitched q: The bonfire is burning The bonfire is not burning if and only
1. 7 answers
2. asked by Jen
3. 2,570 views
g --> h~h v k g k --> w Prove: W
1. 3 answers
2. asked by ashley
3. 336 views
Is the following proposition TRUE or FALSE: If 1 < 0, then 1 + 1 = 3.
1. 2 answers
2. asked by Bart
3. 193 views
Question :Consider the following sentences and prove that "Diana will win the game" 1.All Players are clever. 2.Anyone who is
1. 1 answer
2. asked by Arya
3. 441 views
How do we test the validity of the following(~p^ q) , (p--> r) , (~r-->s) , (s-->t) :- t
1. 6 answers
2. asked by Ashley
3. 326 views
Suppose the domain of the propositional function P(x,y) consists of pairs x and y, where x = 1, 2, or 3, and y = 1, 2, or 3.
1. 1 answer
2. asked by Kid
3. 851 views
Given the premises (p ⇒ q) and (r ⇒ s), use Propositional Resolution to prove the conclusion (p ∨ r ⇒ q ∨ s).Proof
1. 3 answers
2. asked by qwerty
3. 948 views
"~ P v Q" is best read as (Points : 1)
1. 1 answer
2. asked by Anonymous
3. 321 views
Having trouble with these two1. 1 ~J 2 (B ⊃ M) ⊃ (~J ⊃ B) 3 ~J ⊃ (B ⊃ M) / B 2. 1 ~L 2 V v (A v L) 3 (V v A) ⊃ ~V /
1. 1 answer
2. asked by Rick
3. 292 views
p v q is the best interpreted as
1. 1 answer
2. asked by Anonymous
3. 245 views
Natural Deduction Proof Help?Having trouble with these two 1. 1 ~Y ⊃ ~L 2 W v ~Y 3 W ⊃ ~B / ~B v ~L 2. 1 ~U • (G = ~T) 2
1. 1 answer
2. asked by Rick
3. 337 views
i don't know what it mean "~"Exercise: Describe the practical meaning of ~(p v q) using sentences.
1. 1 answer
2. asked by cosette
3. 342 views
The sentence "P �¨ Q" is read as (Points : 1)P or Q P and Q If P then Q Q if and only
1. 1 answer
2. asked by bob
3. 251 views
True or false. [A �¿ (B �¾ C)]c = (A �¿ B)c �¿ (A �¿ C)c
1. 1 answer
2. asked by keith
3. 313 views
Let p and q be propositions. Use Logical equivalences to show that(p ^ (~ (~ p V q))) V (p ^ q) = p
1. 1 answer
2. asked by Joy
3. 381 views
what is the truth value of the sentence "P v ~ P"
1. 1 answer
2. asked by Jaime
3. 327 views
[(pvq)^(p=>)^(q=>)]=>r[(pvq)^(p=>)^(q=>)]=>r
1. 2 answers
2. asked by James
3. 727 views
In the conditional "P →Q," "P" is a
1. 1 answer
2. asked by Wee
3. 263 views
First, translate the following statement pair into the symbols of propositional logic (use the letters P and R)(a) We will have
1. 1 answer
2. asked by joe
3. 392 views
If Pruth value of is true, and Q is false, the the truth of P v Q is
1. 1 answer
2. asked by kenxy
3. 292 views
how to construct a truth table for q w/upside down v~p, using the following:P: this is an orange q: the monkey is tall
1. 1 answer
2. asked by Althea
3. 411 views
1. ((∀x-Fx v ∀xGx) v -(∀xKx → -∃y∀z∃w-Dyzw)) & ((∀xFx & ∀x-Gx) v (∃xKx → ∀y∃z∀wDyzw))├ ∀x(((Fx
1. 1 answer
2. asked by sara thunderbird
3. 300 views
In the conditional "P →Q," "P" is amy answer is necessary condition for P
1. 1 answer
2. asked by me
3. 276 views
What is the truth value of the sentence "P v ~ P"?
1. 1 answer
2. asked by Tammy
3. 289 views
Statements P->Q, ~R->(S->T), R v(P v T), and ~R are true. What is the truth value for the statement, (Q v S)?
1. 4 answers
2. asked by Jerry
3. 974 views
1. "P v Q" is best interpreted as (Points : 1)P or Q but not both P and Q P or Q or both P and Q Not both P or Q P if and only
1. 2 answers
2. asked by Help me
3. 967 views
What is the truth value of the sentence "P v ~ P"?
1. 1 answer
2. asked by Anonymous
3. 255 views
construct a truth table for (p ^ q) <--> ~q and submit it to the dropbox
1. 1 answer
2. asked by Anonymous
3. 403 views
"P v Q" is best interpreted as
1. 1 answer
2. asked by kim
3. 305 views
If p∨q is true, then what must be true about the truth values of p and q?
1. 3 answers
2. asked by nate
3. 400 views
. "~ P v Q" is best read as (Points : 1
1. 1 answer
2. asked by rogene
3. 285 views
g --> h~h v k g k --> w Prove: W
1. 1 answer
2. asked by ashley
3. 352 views
"P v Q" is best interpreted as
1. 4 answers
2. asked by joan turner
3. 333 views
"P v Q" is best interpeted as
1. 1 answer
2. asked by joan turner
3. 237 views
Let p represent a true statement, while q and r represent false statements. Find the truth value of the compound statement.~[(~p
1. 2 answers
2. asked by Jen
3. 533 views
Convert the compound statement into words.p = Students are happy. q = Teachers are happy. ~(p V ~q)
1. 5 answers
2. asked by Jen
3. 737 views
1. G > H2. A > (G • E) 3. A / A • (H v B) 4. 5. 6. 7. 8.
1. 1 answer
2. asked by Mary
3. 238 views
I breathe when I sleep.CONDITIONAL: CONVERSE: INVERSE: CONTRA POSITIVE: BICONDITIONAL:
1. 3 answers
2. asked anonymously
3. 26 views
if a b b c c II d and d e which is not trueA. a e B. a c C. a d D. b d
1. 3 answers
2. asked anonymously
3. 15 views
1. N2. N v F 3. N -> K WHats the next line?
1. 1 answer
2. asked by Danny
3. 351 views
I am being asked if I can prove P, L, Q? (without using resolution-refutation).Propositional clauses: 1. P -> V 2. !P -> (!V and
1. 2 answers
2. asked by Jack
3. 571 views
Can anyone tell me what the Contrapositive is for this sentence?Jane or Tom will wake up Tanner this evening. Compound: Yes
1. 2 answers
2. asked by Diane
3. 538 views

Propositional Logic

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