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1.2.1 - Identify the antecedent and the consequent for each of the following conditional sentences.
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Problem 1.2.1. From Smith/Eggen's A Transition to Advanced Mathematics 7th edition from chapter 1, logic and proofs - conditionals and biconditionals
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Identify the antecedent and the consequent for each of the following conditional
sentences. Assume that a, b, and f represent some fixed sequence,
integer, or function, respectively.
(a) If squares have three sides, then triangles have four sides.
(b) If the moon is made of cheese, then 8 is an irrational number.
(c) b divides 3 only if b divides 9.
(d) The differentiability of f is sufficient for f to be continuous.
(e) A sequence a is bounded whenever a is convergent.
(f) A function f is bounded if f is integrable.
(g) 1 + 2 = 3 is necessary for 1 + 1 = 2.
(h) The fish bite only when the moon is full.
(i) A time of 3 minutes, 48 seconds or less is necessary to qualify for the
Olympic team.
Enjoy, and I am available for tutoring and private classes! :)
Identify the antecedent and the consequent for each of the following conditional
sentences. Assume that a, b, and f represent some fixed sequence,
integer, or function, respectively.
(a) If squares have three sides, then triangles have four sides.
(b) If the moon is made of cheese, then 8 is an irrational number.
(c) b divides 3 only if b divides 9.
(d) The differentiability of f is sufficient for f to be continuous.
(e) A sequence a is bounded whenever a is convergent.
(f) A function f is bounded if f is integrable.
(g) 1 + 2 = 3 is necessary for 1 + 1 = 2.
(h) The fish bite only when the moon is full.
(i) A time of 3 minutes, 48 seconds or less is necessary to qualify for the
Olympic team.