3. Is the formula P → (PVQ) valid in... (a) ...Łukasiewicz's system? (b) ... Kleene's? (c) ...the logic of paradox? (d) ... the system of supervaluations? In each case, justify your answer: if the answer is yes, give a metalogic proof; if the answer is no, give a counterexample.
3. Is the formula P → (PVQ) valid in... (a) ...Łukasiewicz's system? (b) ... Kleene's? (c) ...the logic of paradox? (d) ... the system of supervaluations? In each case, justify your answer: if the answer is yes, give a metalogic proof; if the answer is no, give a counterexample.
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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Transcribed Image Text:3. Is the formula P → (PVQ) valid in...
(a) ...Łukasiewicz's system?
(b) ... Kleene's?
(c) ...the logic of paradox?
(d) ... the system of supervaluations?
In each case, justify your answer: if the answer is yes, give a metalogic proof; if
the answer is no, give a counterexample.
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