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5. (i) Write each of the two arguments below in 'Boolean goggles' form, using the letters A, B, C etc., in the same order that they first appear in each argument. (ii) Say whether or not each argument is a logical consequence, and whether or not it is a tautological (TT) consequence. (a) Boolean goggles: (b) (BackOf(b, e) A Cube(b)) BackOf(b, e) -Cube(b) Logical consequence? TT con? BackOf(b, e) v Cube(b) b=e ר Dodec(b) Logical con? Boolean goggles: TT con? (iii) Show that one of the arguments above is not TT con by filling in one row of a truth table)

5. (i) Write each of the two arguments below in 'Boolean goggles' form, using the letters A, B, C etc., in the same order that they first appear in each argument. (ii) Say whether or not each argument is a logical consequence, and whether or not it is a tautological (TT) consequence. (a) Boolean goggles: (b) (BackOf(b, e) A Cube(b)) BackOf(b, e) -Cube(b) Logical consequence? TT con? BackOf(b, e) v Cube(b) b=e ר Dodec(b) Logical con? Boolean goggles: TT con? (iii) Show that one of the arguments above is not TT con by filling in one row of a truth table)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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5. (i) Write each of the two arguments below in 'Boolean goggles' form, using the letters A, B, C etc., in the same order that they first appear in each argument. (ii) Say whether or not each argument is a logical consequence, and whether or not it is a tautological (TT) consequence. (a) Boolean goggles: (b) (BackOf(b, e) A Cube(b)) BackOf(b, e) -Cube(b) Logical consequence? TT con? BackOf(b, e) v Cube(b) b=e ר Dodec(b) Logical con? Boolean goggles: TT con? (iii) Show that one of the arguments above is not TT con by filling in one row of a truth table)
Transcribed Image Text:5. (i) Write each of the two arguments below in 'Boolean goggles' form, using the letters A, B, C etc., in the same order that they first appear in each argument. (ii) Say whether or not each argument is a logical consequence, and whether or not it is a tautological (TT) consequence. (a) Boolean goggles: (b) (BackOf(b, e) A Cube(b)) BackOf(b, e) -Cube(b) Logical consequence? TT con? BackOf(b, e) v Cube(b) b=e ר Dodec(b) Logical con? Boolean goggles: TT con? (iii) Show that one of the arguments above is not TT con by filling in one row of a truth table)
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