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1. Answer the two questions below (a) Explain what are the differences, if any, between a structure of L2 (the language of predicate logic) and a structure of L- (the language of predicate logic with identity).

1. Answer the two questions below (a) Explain what are the differences, if any, between a structure of L2 (the language of predicate logic) and a structure of L- (the language of predicate logic with identity).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1. Answer the two questions below (a) Explain what are the differences, if any, between a structure of L2 (the language of predicate logic) and a structure of L (the language of predicate logic with identity). (b) Let I be a set of sentences of L1 (the language of propositional logic) and let ø be a sentence of L1, respectively. Define what it is for I and ø to be jointly semantically inconsistent. Explain why the argument from I to ¬ø is valid if I and ø are jointly semantically inconsistent.
Transcribed Image Text:1. Answer the two questions below (a) Explain what are the differences, if any, between a structure of L2 (the language of predicate logic) and a structure of L (the language of predicate logic with identity). (b) Let I be a set of sentences of L1 (the language of propositional logic) and let ø be a sentence of L1, respectively. Define what it is for I and ø to be jointly semantically inconsistent. Explain why the argument from I to ¬ø is valid if I and ø are jointly semantically inconsistent.
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