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## Symbolic Logic Truth Trees and Truth Tables Exercise

Table of Contents

Order ID# 45178248544XXTG457Plagiarism Level: 0-0.5%Writer Classification: PhD competentStyle: APA/MLA/Harvard/ChicagoDelivery: Minimum 3 HoursRevision: PermittedSources: 4-6Course Level: Masters/University CollegeGuarantee Status: 96-99%

Instructions

Symbolic Logic Truth Trees and Truth Tables Exercise

- Use a truth tree or truth trees to determine whether it is possible for this sentence to be true. Explain your answer.
(B -> ~A) v A

- Translate this prose sentence into formal notation and then use a truth tree or truth trees to determine whether it is possible for the sentence to be true. Explain your answer.
Either it is false that if I am a student then I love logic or both I am a student and if I am a student then I love logic.

3.Use a truth tree or truth trees to determine whether this sentence is a contingency, a contradiction, or a tautology. Explain your answer.

~(~A -> ~(B -> A))

- Translate this prose sentence into formal notation and then use a truth tree or truth trees to determine whether this sentence is a contingency, a contradiction, or a tautology. Explain your answer.
I am hungry, but I am tired; but if I am ornery, then I am both hungry and tired.

5.Use a truth tree or truth trees to determine whether this set of formal sentences is consistent, contradictory, or equivalent (remember, ‘or’ is inclusive). Explain your answer.

6.Translate this set of prose sentences into formal notation and then use a truth tree or truth trees to determine whether the set of formal sentences is consistent, contradictory, or equivalent (remember, ‘or’ is inclusive). Explain your answer.

If and only if I am a student, then I love logic.

Both if I am a student, then I love logic, and if I love logic, then I am a student.

A -> B, ~B -> ~A

- Use a truth tree or truth trees to determine whether this formal argument is valid or invalid. Explain your answer.
- A v (B ^ C)
- A
- B -> ~C
- Translate this prose argument into formal notation and then use a truth tree or truth trees to determine whether the formal argument is valid or invalid. Explain your answer.
If I will get a burrito for dinner, I will be happy tonight. If I am happy tonight, I will be productive tomorrow. I will be productive tomorrow. Therefore, I will get a burrito for dinner.

9.Translate this prose argument into formal notation and then use a truth tree or truth trees to determine whether the argument is valid or invalid and sound or unsound. Explain both of your answers. (“I” refers to you, the student.)

If I am a Rutgers–Camden student and I am taking logic, then I will study soundness. If I study soundness, then I study validity. I am a Rutgers–Camden student. I am taking logic. Therefore, I study validity.

RUBRICExcellent Quality95-100%

Introduction45-41 points

The background and significance of the problem and a clear statement of the research purpose is provided. The search history is mentioned.

Literature Support91-84 points

The background and significance of the problem and a clear statement of the research purpose is provided. The search history is mentioned.

Methodology58-53 points

Content is well-organized with headings for each slide and bulleted lists to group related material as needed. Use of font, color, graphics, effects, etc. to enhance readability and presentation content is excellent. Length requirements of 10 slides/pages or less is met.

Average Score50-85%

40-38 points More depth/detail for the background and significance is needed, or the research detail is not clear. No search history information is provided.

83-76 points Review of relevant theoretical literature is evident, but there is little integration of studies into concepts related to problem. Review is partially focused and organized. Supporting and opposing research are included. Summary of information presented is included. Conclusion may not contain a biblical integration.

52-49 points Content is somewhat organized, but no structure is apparent. The use of font, color, graphics, effects, etc. is occasionally detracting to the presentation content. Length requirements may not be met.

Poor Quality0-45%

37-1 points The background and/or significance are missing. No search history information is provided.

75-1 points Review of relevant theoretical literature is evident, but there is no integration of studies into concepts related to problem. Review is partially focused and organized. Supporting and opposing research are not included in the summary of information presented. Conclusion does not contain a biblical integration.

48-1 points There is no clear or logical organizational structure. No logical sequence is apparent. The use of font, color, graphics, effects etc. is often detracting to the presentation content. Length requirements may not be met

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Symbolic Logic Truth Trees and Truth Tables Exercise

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