- #1
jehello
- 1
- 0
Any advice on how to make step 6 check out?
Symbolic Logic, Proof with Conditional
- Thread starter jehello
- Start date
-
- Tags
- Conditional Logic Proof
In summary, symbolic logic is a branch of mathematics used to represent and manipulate logical statements. It is used in proofs with conditional statements, where "if" is represented by "→" and "then" is represented by "⊢". A proof in symbolic logic is a series of logical steps that shows the validity of an argument or statement. A conditional proof is a type of proof that uses a conditional statement as a premise to prove its validity. Symbolic logic has practical applications in fields such as computer programming, linguistics, philosophy, and law, and is also used in everyday life to evaluate arguments and statements.
Any advice on how to make step 6 check out?
- #2
CompuChip
Science Advisor
Homework Helper
- 4,309
- 49
The problem is you can't conclude
Then isn't another quantifier elimination all you need (i.e. prove that Cube(e) and Dodec(d) implies FrontOf(d, e)) ?
Also I'm wondering if you mixed up the order of e and y in step 4.
FrontOf(d, e)
from step 4, isn't it?Then isn't another quantifier elimination all you need (i.e. prove that Cube(e) and Dodec(d) implies FrontOf(d, e)) ?
Also I'm wondering if you mixed up the order of e and y in step 4.
FAQ: Symbolic Logic, Proof with Conditional
1. What is symbolic logic?
Symbolic logic is a branch of mathematics that studies the use of symbols and formal logic to represent and manipulate logical statements. It is used to analyze and prove the validity of arguments and statements.
2. How is symbolic logic used in proof with conditional statements?
Symbolic logic is used to represent conditional statements, which are statements that follow an "if-then" format. In symbolic logic, the "if" is represented by the symbol "→" and the "then" is represented by the symbol "⊢". This allows for the manipulation and analysis of conditional statements to determine their validity.
3. What is a proof in symbolic logic?
A proof in symbolic logic is a series of logical steps or statements that demonstrate the validity of a given argument or statement. It uses the rules and symbols of symbolic logic to show that the conclusion follows logically from the premises.
4. What is a conditional proof?
A conditional proof is a type of proof in symbolic logic that uses the conditional statement "if A, then B" as a premise, and then shows that if A is true, then B must also be true. It is a useful tool for proving conditional statements that are difficult to prove directly.
5. How is symbolic logic applied in real-world situations?
Symbolic logic has many practical applications, including computer programming, linguistics, and philosophy. It is also used in fields such as law, where logical reasoning and proof are essential. Additionally, it is used in everyday life to evaluate arguments and determine the validity of statements.