For every expression, determine whether or not it is a sentence of truth-functional logic and whether it denotes a sentence by our notational conventions. If it is a sentence of TFL, show how to build the sentence up from sentence letters using the inductive definition of sentences. Explain why it is not a sentence.
For every expression, determine whether or not it is a sentence of truth-functional logic and whether it denotes a sentence by our notational conventions. If it is a sentence of TFL, show how to build the sentence up from sentence letters using the inductive definition of sentences. Explain why it is not a sentence.
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:For every expression, determine whether or not it is a sentence of
truth-functional logic and
whether it denotes a sentence by our notational conventions. If it is a
sentence of
TFL, show how to build the sentence up from sentence letters using the
inductive definition
of sentences. Explain why it is not a sentence.
(a) -(-(-A))
(b) АЛВЛС
(c) A A B → C
(d) ((D A (C V B)) → (E A B) → -(-A V B))
(e) (((A ^ -B) V (C → --D)) → ((A ^ -B) → B))
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