(i) All swans are white. (S, swan; W, white) (ii) Every swan is white. (S, swan; W, white)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.3: Properties Of Numbers
Problem 57HP
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In the following exercises, I give you the symbols that you will use for predicates or relations. Your task is to paraphrase the English sentences in quantified relational logic. For example, suppose you have the English sentence “Something is missing” (M, missing)
(i) All swans are white. (S, swan; W, white)
(ii) Every swan is white. (S, swan; W, white)
(iii) Each swan is white. (S, swan; W, white)
(iv) Only white swans exist. (S, swan; W, white)
(v) A swan is white. (S, swan; W, white)
Transcribed Image Text:(i) All swans are white. (S, swan; W, white) (ii) Every swan is white. (S, swan; W, white) (iii) Each swan is white. (S, swan; W, white) (iv) Only white swans exist. (S, swan; W, white) (v) A swan is white. (S, swan; W, white)
In the following exercises I give you the symbols that you will use for predicates or relations. Your task is to
paraphrase the English sentences in quantified relational logic. For example, suppose you have the English
sentence "Something is missing" (M, missing), then the paraphrase is 3x Mx.
(i) Some swans are black. (S, swan; B, black)
(ii) There is a black swan. (S, swan; B, black)
(iii) There exists a black swan. (S, swan, B, black)
(iv) A black swan exists. (S, swan, B, black)
(v) Not all swans are non-black. (S, swan, B, black)
Transcribed Image Text:In the following exercises I give you the symbols that you will use for predicates or relations. Your task is to paraphrase the English sentences in quantified relational logic. For example, suppose you have the English sentence "Something is missing" (M, missing), then the paraphrase is 3x Mx. (i) Some swans are black. (S, swan; B, black) (ii) There is a black swan. (S, swan; B, black) (iii) There exists a black swan. (S, swan, B, black) (iv) A black swan exists. (S, swan, B, black) (v) Not all swans are non-black. (S, swan, B, black)
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