logo for solving-math-problems.com
leftimage for solving-math-problems.com

Symbolic Arguments











































if the canteen is full, then we can go for a walk.
we can go for a walk and we will not get thirsty.
if we go for a walk, then the canteen is not full.



A)translate the argument into symbolic form.
B)determine if the argument is valid or invalid

Comments for Symbolic Arguments

Click here to add your own comments

Oct 05, 2011
Symbolic Arguments
by: Staff


Question:

if the canteen is full, then we can go for a walk.
we can go for a walk and we will not get thirsty.

therefore, if we go for a walk, then the canteen is not full.



A)translate the argument into symbolic form.
B)determine if the argument is valid or invalid



Answer:

∧: “and”symbol
∨: “or” symbol
~: “negation” (not) symbol


A)translate the argument into symbolic form.

p = canteen is full
q = we can go for a walk
r = get thirsty

p → q

q ∧~r



B)determine if the argument is valid or invalid

[(p → q) ∧(q ∧~r)] → ~ p

Argument is invalid. See row 2 of truth table.


All possible combinations of p, q, and r are shown in the following Truth Table. There are 8 possible combinations (2³ = 8):

......p.......q........r........~r........(q∧~r )

1....T......T........T........F........F
2....T......T........F........T........T
3....T......F........T........F........F
4....T......F........F........T........F
5....F......T........T........F........F
6....F......T........F........T........T
7....F......F........T........F........F
8....F......F........F........T........F


Thanks for writing.

Staff
www.solving-math-problems.com


Feb 15, 2017
Logic NEW
by: Anonymous

Either organic chemistry or genetics is the most difficult science at culver Stockton college. Organic chemistry is the most difficult science course at the college only if it's GPA course is lower than that of genetics. However, this is not the case. It follows that genetics is the most difficult science course at C-SC.

Apr 29, 2018
Symbolic argument NEW
by: Anonymous

We will go for a bike ride or we will go shopping.
We will not go shopping. We will go for a bike ride

Feb 07, 2019
dt NEW
by: Anonymous

if i like to eat and i like ice cream, then i eat bananas

Mar 28, 2019
Symbolic NEW
by: Anonymous

All squares (s) are rectangles (r).

Sep 09, 2019
H NEW
by: Anonymous

Linda is practicing basketball or Justin is playing piano

Sep 22, 2019
symbolic form NEW
by: Anonymous

Both Sam and Tess are smart.

Sep 25, 2019
Symbolic Arguments NEW
by: Anonymous

Help

Dec 11, 2019
Dave NEW
by: Anonymous

If Dave is not a superstitious he does not play baseball

Mar 24, 2020
HELP NEW
by: Anonymous

4. If terrorists’ demands are met, then lawlessness will be rewarded. If demands are not met, then innocent hostages will be murdered. So either lawlessness will be rewarded or innocent hostages will be murdered.

Apr 16, 2020
TRANSLATE INTO SYMBOLIC FORM PLEASE NEW
by: Ihatemybrain

It is not sunny but it is windy.

May 06, 2020
Write the Correct Symbolic Statement for the Argument NEW
by: Anonymous

I go to the bank or I borrow money from you
I do not borrow money from you
---------------------------------------------
I go to the bank

Jun 01, 2020
how NEW
by: Anonymous

if my car breaks down, I visit the mechanic. (p)
My car did not break down. (q)
I visited the mechanic. (r)

Jun 29, 2020
1 NEW
by: Anonymous

Neither my brother nor sister are tall.

Sep 01, 2020
Symbolic form NEW
by: Tetea

If Honda releases a new truck, then both Honda and Nissan will release a new truck. Honda or Nissan will release a new truck. So, we can conclude that Nissan will release a new truck

Oct 05, 2020
gg NEW
by: Anonymous

Marian loves Mexican food and Martin

Oct 25, 2020
Symbolic argument
by: Anonymous

If it rains or snows, then my roof leaks
My roof is leaking
Therefore, It is raining and snowing

Nov 10, 2020
symbolic arguement NEW
by: Anonymous

If OxyContin is addictive, then either the pharmaceutical industry has stopped making it or thousands of patients are becoming addicted to it. The pharmaceutical industry has not stopped making OxyContin. Also, OxyContin is addictive. Therefore, thousands of patients are becoming addicted to it. (O = OxyContin is addictive, P = The Pharmaceutical industry has stopped making OxyContin, T = Thousands of patients are becoming addicted to OxyContin)

Nov 13, 2020
Party argument
by: Anonymous

The party of the year is happening tomorrow! Everyone wants to go. Bettie and Frank just started dating, and they are going to the party together. But Bettie and George just broke up, so there is no way that Better and George and both going to the party! I guess George will be going to the party.

Nov 30, 2020
urgent NEW
by: Anonymous

If the basic food and shelter was free, most of the people would not worry about the basic necessities. Poverty amplifies the risk of, malnutrition. People who are poor are more likely to be affected by different forms of malnutrition. Also, malnutrition increases health care costs, reduces productivity, and slows economic growth, which can perpetuate a cycle of poverty and ill-health

Dec 22, 2020
Work NEW
by: Anonymous

If he goes to class, he will do well
If he does well , he will be proud

Mar 02, 2021
Symbolic Form NEW
by: Anonymous

Seven is greater then zero, and 7 is positive.

Apr 04, 2021
argument into logical symbols NEW
by: Anonymous


20. It is not the case that you get the willies, and you ate pasta last night. If you get the willies, then we cannot trust you to buy the tickets. If you did not eat pasta last night, then you can ride to Rome. Therefore, either you can ride to Rome or we cannot trust you to buy the tickets. (P, R, W, T)


21. If either fishermen are lazy or they need a bigger boat, then it is not safe to go swimming. Either it is safe to go swimming and fishermen are lazy, or it is safe to go swimming and there is not a great white shark in the water. We can conclude there is not a great white shark in the water. (L, B, S, W)


22. Aardvarks eat ants and lemurs eat bugs, or else aardvarks do not eat ants and foxes eat mice. But foxes do not eat mice. Therefore, lemurs eat bugs.

Click here to add your own comments

Join in and write your own page! It's easy to do. How? Simply click here to return to Math Questions & Comments - 01.



Copyright © 2008-2015. All rights reserved. Solving-Math-Problems.com