Show that the following argument is valid. Show all steps and used rules. Every CS student...
Show that the following argument is valid. Show all steps and used rules.
Every CS student likes Math or Programming. If Ali likes programming, then programming is easy.
Mariam is not a CS student. Ali is a CS student and Programming is hard. Mariam likes
Programming. Therefore, Ali likes Math.
Homework Answers
Given that Every CS student likes Math or Programming so Ali must like any of the two.
We will prove this by contradiction. Suppose Ali likes programming and given that If Ali likes programming, then programming is easy. Therefore we can argue that programming is easy which is a contradiction as it is goven that programming is hard. Therefore only one option is left for Ali to like i.e. Maths.
Therefore Ali likes Maths (Proved)
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Show that the following argument is valid. Show all steps and
used rules.
Every CS student...
Is the following argument valid? (Carefully express it in propositional logic, and show the rules of...
Is the following argument valid? (Carefully express it in propositional logic, and show the rules of inference used at each step) If interest rates are going up, stock market prices will go down. Interest rates are not going up. Therefore, stock market prices will not go down.
5. Symbolize the following argument and prove it is a valid argument. Let B ( x...
5. Symbolize the following argument and prove it is a valid argument. Let B ( x ) = x is a bear; D ( x ) = x is dangerous, and H ( x ) = x is hungry. Every bear that is hungry is dangerous. There is a hungry animal that is not dangerous. Therefore there is an animal that is not a bear. 6. In order to prove an quantificational argument invalid it is only necessary to find a...
Evaluate following argument? Is it valid? Is it sound? Why? All American Presidents are well-read. Donald...
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How to do this problem for discrete math. Use the rules of inference to show that...
How to do this problem for
discrete math.
Use the rules of inference to show that if V x (Ax) v α刈and V xứcAx) Λ α where the domains of all quantifiers are the same. Construct your argument by rearranging the following building blocks. ) → Rx)) are true, then V x("A(x) → A is also tr 1. We will show that if the premises are true, then (1A(a) → Pla) for every a. 2. Suppose -R(a) is true for...
1. (2 pts) Find the argument form for the following argument and determine whether it is...
1. (2 pts) Find the argument form for the following argument and determine whether it is valid. Can we conclude that the conclusion is true if the premises are true? If George does not have eight legs, then he is not a spider. George is a spider. .:. George has eight legs. 2. (2 pts) What rules of inference are used in this famous argument? "All men are mortal. Socrates is a man. Therefore, Socrates is mortal." 3. (2 pts)...
3. Show that the following argument with hypotheses on lines 1-3 and conclusion on line c...
3. Show that the following argument with hypotheses on lines 1-3 and conclusion on line c is valid by supplementing steps using the rules of inference (Rosen, page 72) and logical equivalences (Rosen, pages 27, 28). Clearly label each step. 1 pv (r 18) Premise 2 p → Premise Premise 39 Conclusion
1. Determine whether or not the following argument is valid or invalid. Show your work, clearly...
1. Determine whether or not the following argument is valid or invalid. Show your work, clearly explaining how you determined its validity or invalidity. You may justify your answer either by use of a truth table or by citing or known valid argument forms or fallacies. Justifications that appeal to common sense, which are based on opinion or perceptions, or which otherwise do not analyse the underlying logic will not be accepted. THE ARGUMENT: If you have just cause why...
please show all work (basic steps) and formulas used for why: is true please show all work (including basic math steps) and formulas to show why this is true. x=0 x=0
please show all work (basic steps) and formulas used for
why:
is true
please show all work (including basic math steps) and
formulas to show why this is true.
x=0
x=0
Logic Discrete Maths Question 3 & 4 3. [6 marks: 3 marks for steps, 3 marks for labels] Simplify the following statement using the laws and axioms of logic. Clearly state which law or axiom has b...
Logic Discrete Maths Question 3 & 4
3. [6 marks: 3 marks for steps, 3 marks for labels] Simplify the following statement using the laws and axioms of logic. Clearly state which law or axiom has been used at each step 4. [4 +4-8 marks] Given the following statements The student is in the esports club or in the aquatic club. If they are in the esports club then they do not get free access to the pool. The student...
3. (6 marks: 3 marks for steps, 3 marks for labels]+Simplify the following statement using the...
3. (6 marks: 3 marks for steps, 3 marks for labels]+Simplify the following statement using the laws and axioms of logic. Clearly state which law or axiom has been used at each step. 4 [4+4-8 marks] Given the following statements: The student is in the esports club or in the aquatic club. if they are in the esports club then they do not get free access to the pool. The student does get free access to the pool. Therefore the...
How to do this problem for
discrete math.
Use the rules of inference to show that if V x (Ax) v α刈and V xứcAx) Λ α where the domains of all quantifiers are the same. Construct your argument by rearranging the following building blocks. ) → Rx)) are true, then V x("A(x) → A is also tr 1. We will show that if the premises are true, then (1A(a) → Pla) for every a. 2. Suppose -R(a) is true for...
1. (2 pts) Find the argument form for the following argument and determine whether it is valid. Can we conclude that the conclusion is true if the premises are true? If George does not have eight legs, then he is not a spider. George is a spider. .:. George has eight legs. 2. (2 pts) What rules of inference are used in this famous argument? "All men are mortal. Socrates is a man. Therefore, Socrates is mortal." 3. (2 pts)...
3. Show that the following argument with hypotheses on lines 1-3 and conclusion on line c is valid by supplementing steps using the rules of inference (Rosen, page 72) and logical equivalences (Rosen, pages 27, 28). Clearly label each step. 1 pv (r 18) Premise 2 p → Premise Premise 39 Conclusion
please show all work (basic steps) and formulas used for
why:
is true
please show all work (including basic math steps) and
formulas to show why this is true.
x=0
x=0
Logic Discrete Maths Question 3 & 4
3. [6 marks: 3 marks for steps, 3 marks for labels] Simplify the following statement using the laws and axioms of logic. Clearly state which law or axiom has been used at each step 4. [4 +4-8 marks] Given the following statements The student is in the esports club or in the aquatic club. If they are in the esports club then they do not get free access to the pool. The student...
3. (6 marks: 3 marks for steps, 3 marks for labels]+Simplify the following statement using the laws and axioms of logic. Clearly state which law or axiom has been used at each step. 4 [4+4-8 marks] Given the following statements: The student is in the esports club or in the aquatic club. if they are in the esports club then they do not get free access to the pool. The student does get free access to the pool. Therefore the...
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