bibinbabk3146 bibinbabk3146
  • 24-08-2017
  • Mathematics
contestada

Identify the error in this argument that supposedly shows that if ∃xp(x) ∧ ∃xq(x) is true then ∃x(p(x) ∧ q(x)) is true

Respuesta :

mathmate
mathmate mathmate
  • 24-08-2017
The problem is that ∃xp(x) is true, and ∃xq(x) is true means that for some x=x1, p(x) is true, and for some x=x2, q(x) is true.  There is no guarantee that x1=x2, although it is not impossible.

However, 
∃x(p(x) ∧ q(x)) means that for the same x=x0, p(x0) is true, and q(x0) is true.  This cannot be implied from the first proposition, therefore

∃xp(x) ∧ ∃xq(x)  =>  ∃x(p(x) ∧ q(x))    is a false statement.
Answer Link

Otras preguntas

If the formula in cell D49 is copied to cells E49:F49, what sequence of values would be generated in Cells D49:F49? Conference Room Location Staff ID D
What happens if a tribe stays in one place ?
Which statement describes the narrative point of view in Grenada
what is the awnser to1.020___1.200? greater than less than or equal to i forgot
Which of the following capital investment evaluation methods uses present values while evaluating different projects? a. The annuity indexation method b. The ca
Find (fog)(x) and (gof)(x). f(x) = 7x-7, g(x) = 4 - 2xpleaseee helppp​
wavelength is?????????​
Simplify the expression below and show your work. PLEASE ANSWER!! ASAP!
Parte 1. Choose the subject pronoun that can substitute for the underlined word(s). Escoge los pronombres que sustituyen las palabras subrayadas. 1. Las chicas
What is the value of x in the equation 0.7x – 1.4 = -3.5? O -7 Ο Ο Ο Ο 3 7