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ARGUMENT ONE Valid O / Invalid O 1. A· B 2. .. Av B ARGUMENT TWO Valid O / Invalid O 1. Av B 2. B 3. :. -A ARGUMENT THREE ValidO / Invalid 0 1. (A v B) · (A v C) 2. -A 3. Bv C

ARGUMENT ONE Valid O / Invalid O 1. A· B 2. .. Av B ARGUMENT TWO Valid O / Invalid O 1. Av B 2. B 3. :. -A ARGUMENT THREE ValidO / Invalid 0 1. (A v B) · (A v C) 2. -A 3. Bv C

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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ARGUMENT ONE Valid O / Invalid0 1. A· B 2. :. Av B ARGUMENT TWO Valid O / Invalid O 1. Av B 2. В 3. :. -A ARGUMENT THREE Valid 0 / Invalid O 1. (A v B) · (A v C) 2. -A 3. :. ВvC ARGUMENT FOUR Valid O / InvalidO 1. (R v S) • ~D 2. -R 3. .. S. -D ARGUMENT FIVE Valid D / Invalid O 1. AvB 2. :. A · B ARGUMENT SIX Valid O / Invalid O 1. -C 2. . -(C v A)
Transcribed Image Text:ARGUMENT ONE Valid O / Invalid0 1. A· B 2. :. Av B ARGUMENT TWO Valid O / Invalid O 1. Av B 2. В 3. :. -A ARGUMENT THREE Valid 0 / Invalid O 1. (A v B) · (A v C) 2. -A 3. :. ВvC ARGUMENT FOUR Valid O / InvalidO 1. (R v S) • ~D 2. -R 3. .. S. -D ARGUMENT FIVE Valid D / Invalid O 1. AvB 2. :. A · B ARGUMENT SIX Valid O / Invalid O 1. -C 2. . -(C v A)
Use the truth table test of validity to determine whether the following arguments are valid or invalid. To be invalid, the premises will be true, but the conclusion false. INSTRUCTIONS: 1. First, identify and define the type of Truth Functional Connective each symbol represents and type it in to the first table. 2. Then, create a Formal Method Test of validity table below each argument to determine whether the argument is valid or invalid. 3. Indicate whether the argument is valid or invalid. If the argument is invalid, highlight the area on the table that proves it. A row for each possible outcome [2"] → Use the pattern of half the rows to make half of the values in the column true → For the next column keep using the pattern of half Remember to Create: Type in the meaning of the symbol in the space provided. Truth Functional Symbol How to determine its truth value Connective it represents V .. SAMPLE ARGUMENT: 1. P• Q 2. .. Pv Q How many atomic propositions? = How many rows 2ª (+1 for the header row). How many atomic propositions plus how many complex propositions? = а. How many columns?
Transcribed Image Text:Use the truth table test of validity to determine whether the following arguments are valid or invalid. To be invalid, the premises will be true, but the conclusion false. INSTRUCTIONS: 1. First, identify and define the type of Truth Functional Connective each symbol represents and type it in to the first table. 2. Then, create a Formal Method Test of validity table below each argument to determine whether the argument is valid or invalid. 3. Indicate whether the argument is valid or invalid. If the argument is invalid, highlight the area on the table that proves it. A row for each possible outcome [2"] → Use the pattern of half the rows to make half of the values in the column true → For the next column keep using the pattern of half Remember to Create: Type in the meaning of the symbol in the space provided. Truth Functional Symbol How to determine its truth value Connective it represents V .. SAMPLE ARGUMENT: 1. P• Q 2. .. Pv Q How many atomic propositions? = How many rows 2ª (+1 for the header row). How many atomic propositions plus how many complex propositions? = а. How many columns?
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