How to Prove A v C in Symbolic Logic?

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SUMMARY

The discussion focuses on proving the logical expression A v C using symbolic logic techniques. The user outlines their proof steps, which include the use of disjunction introduction (vINTRO) and subproofs to derive the conclusion. The proof is structured but encounters a question regarding the application of vINTRO in the final step. The discussion highlights the importance of understanding logical operators and proof techniques in symbolic logic.

PREREQUISITES
  • Understanding of symbolic logic notation and terminology
  • Familiarity with disjunction introduction (vINTRO) and contradiction introduction
  • Experience with constructing subproofs in logical arguments
  • Basic knowledge of logical operators such as conjunction, disjunction, and negation
NEXT STEPS
  • Study the principles of disjunction introduction in symbolic logic
  • Practice constructing subproofs for various logical expressions
  • Explore contradiction introduction techniques in formal proofs
  • Review examples of logical proofs involving multiple variables and operators
USEFUL FOR

This discussion is beneficial for students of symbolic logic, educators teaching logic courses, and anyone looking to enhance their skills in formal proof construction and logical reasoning.

questiongirl111
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The question asks you to prove A v C

This is what I have. Everything is correct until the last question, #11

1. A V C
2. ~BvC
3.(new subproof) B
4. (new subproof ~B
5. contradiction contradiction intro 4,3
(end subproof from 4-5)
6. ~BvC V Intro 2
(end subproof from 3-6)
7. (new subproof) A
8. A v B vINTRO 1
(end subproof from 7-8)

9.(new subproof) C
10. ~BvC (vINTRO 2)
(end subproof 9-10)
11.A v C VINTRO ?


Thanks!
-J
 
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What class is this for? What does vINTRO mean?
 

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