Consider the argument below and pick the wff that best represents it. B(x) is "x is a bird" W(x) is "x is a worm" S(x) is "x is a seed" P(x, y) is "x eats y" constant h is hummingbirds Some birds eat some seeds. Hummingbirds are birds. Hummingbirds don't eat worms. Therefore, hummingbirds eat some seeds. (xX)[B(x) → (ay)(S(y) ^ P(x, y))] ^ B(h) ^ (vx)[W(x) → P(h, x)] → (vx)(S(x) → P(h, x)) (3x)(ay)[B(x) ^ S(y) ^ P(x, y)] ^ B(h) ^ (vx)[W(x) → P(h, x)] → (3x)(S(x) ^ P(h, x)) (3x)[B(x) → (3y)(S(y) ^ P(x, y))] B(h) ^ (vX)[W(x) → P(h, x)] → (3x)(S(x) ^ P(h, x))

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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Consider the argument below and pick the wff that best represents it.
B(x) is "x is a bird"
W(x) is "x is a worm"
S(x) is "x is a seed"
P(x, y) is "x eats y"
constant h is hummingbirds
Some birds eat some seeds. Hummingbirds are birds. Hummingbirds don't eat
worms. Therefore, hummingbirds eat some seeds.
(vX)[B(x) → (ay)(S(y) ^ P(x, y))] A B(h) ^ (vx)[W(x) → P(h, x)] → ()(S(x)
P(h, x))
(3х)(3у)[B(x) л S(y) л Р(х, у)] л B(h) л (vx)[W(x) — Р(h, х)] —— (3х)(S(х) л Р(Һ,
x))
(3x)[B(x) –
x))
(ay)(S(y) ^ P(x, y))] ^ B(h) ^ (vx)[W(x) → P(h, x)]→ (3x)(S(x) ^ P(h,
Transcribed Image Text:Consider the argument below and pick the wff that best represents it. B(x) is "x is a bird" W(x) is "x is a worm" S(x) is "x is a seed" P(x, y) is "x eats y" constant h is hummingbirds Some birds eat some seeds. Hummingbirds are birds. Hummingbirds don't eat worms. Therefore, hummingbirds eat some seeds. (vX)[B(x) → (ay)(S(y) ^ P(x, y))] A B(h) ^ (vx)[W(x) → P(h, x)] → ()(S(x) P(h, x)) (3х)(3у)[B(x) л S(y) л Р(х, у)] л B(h) л (vx)[W(x) — Р(h, х)] —— (3х)(S(х) л Р(Һ, x)) (3x)[B(x) – x)) (ay)(S(y) ^ P(x, y))] ^ B(h) ^ (vx)[W(x) → P(h, x)]→ (3x)(S(x) ^ P(h,
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