What is the difference between a statement and sentence in mathematical logic?
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I have seen many (GENERAL, BEGINNER TYPE) definitions, however, the actual meaning of a sentence I have yet to find, that is non-specific to a particular domain. This would be useful since a statement is defined in terms of a sentence and is one of the first concepts I am introduced to.
logic
asked Dec 23 '18 at 22:48
rrrrrrrr
61
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add a comment |
$begingroup$
I have seen many (GENERAL, BEGINNER TYPE) definitions, however, the actual meaning of a sentence I have yet to find, that is non-specific to a particular domain. This would be useful since a statement is defined in terms of a sentence and is one of the first concepts I am introduced to.
logic
asked Dec 23 '18 at 22:48
rrrrrrrr
61
$endgroup$
$begingroup$
Usually a sentence is a linguistic entity expressing a thought (a meaning, content). A statement can be used to denote the content expressed by a declarative sentence (assertion). In logic the two terms are synonyms.
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– Mauro ALLEGRANZA
Dec 24 '18 at 9:14
add a comment |
$begingroup$
I have seen many (GENERAL, BEGINNER TYPE) definitions, however, the actual meaning of a sentence I have yet to find, that is non-specific to a particular domain. This would be useful since a statement is defined in terms of a sentence and is one of the first concepts I am introduced to.
logic
asked Dec 23 '18 at 22:48
rrrrrrrr
61
$endgroup$
I have seen many (GENERAL, BEGINNER TYPE) definitions, however, the actual meaning of a sentence I have yet to find, that is non-specific to a particular domain. This would be useful since a statement is defined in terms of a sentence and is one of the first concepts I am introduced to.
logic
logic
asked Dec 23 '18 at 22:48
rrrrrrrr
61
asked Dec 23 '18 at 22:48
rrrrrrrr
61
asked Dec 23 '18 at 22:48
rrrrrrrr
61
asked Dec 23 '18 at 22:48
rrrrrrrr
61
asked Dec 23 '18 at 22:48
rrrrrrrr
61
61
$begingroup$
Usually a sentence is a linguistic entity expressing a thought (a meaning, content). A statement can be used to denote the content expressed by a declarative sentence (assertion). In logic the two terms are synonyms.
$endgroup$
– Mauro ALLEGRANZA
Dec 24 '18 at 9:14
add a comment |
$begingroup$
Usually a sentence is a linguistic entity expressing a thought (a meaning, content). A statement can be used to denote the content expressed by a declarative sentence (assertion). In logic the two terms are synonyms.
$endgroup$
– Mauro ALLEGRANZA
Dec 24 '18 at 9:14
$begingroup$
Usually a sentence is a linguistic entity expressing a thought (a meaning, content). A statement can be used to denote the content expressed by a declarative sentence (assertion). In logic the two terms are synonyms.
$endgroup$
– Mauro ALLEGRANZA
Dec 24 '18 at 9:14
$begingroup$
Usually a sentence is a linguistic entity expressing a thought (a meaning, content). A statement can be used to denote the content expressed by a declarative sentence (assertion). In logic the two terms are synonyms.
$endgroup$
– Mauro ALLEGRANZA
Dec 24 '18 at 9:14
add a comment |
2 Answers
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I would say most texts don't make a difference between the two. In fact: statement, sentence, claim, and proposition are typically all seen as the same thing: something that has a truth-value.
If a text does make a distinction, I suspect it might be between the syntactical expression that we use in order to express a claim, and the claim itself as more of an abstract idea, in much the same ads a number can be expressed in different ways: a numeral is what represent a number. Likewise, one could see a sentence as representing a statement or claim.
answered Dec 23 '18 at 23:45
Bram28Bram28
61.9k44793
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add a comment |
$begingroup$
A statement can be true or false but a sentence can be true, false, as well as ambiguous. Statement is a subclass of sentence. For example-" 4 is the square root of 2" is a statement (as it is false) , but "Tomorrow is Tuesday" is not a statement( it is true on Monday but false on other days). Similarly, "Girls are better than boys" is also not a statement, as it may be true or false according to the reader. In general, truth value of a statement doesn't depend on the reader, it is true for all or false for all, at all times.
Hope it is helpful
answered Dec 23 '18 at 23:54
MartundMartund
1,633213
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I think it would be useful to add some reference supporting your claim.
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– rafa11111
Dec 24 '18 at 0:55
add a comment |
Your Answer
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2 Answers
2
active
oldest
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2 Answers
2
active
oldest
votes
active
oldest
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active
oldest
votes
$begingroup$
I would say most texts don't make a difference between the two. In fact: statement, sentence, claim, and proposition are typically all seen as the same thing: something that has a truth-value.
If a text does make a distinction, I suspect it might be between the syntactical expression that we use in order to express a claim, and the claim itself as more of an abstract idea, in much the same ads a number can be expressed in different ways: a numeral is what represent a number. Likewise, one could see a sentence as representing a statement or claim.
answered Dec 23 '18 at 23:45
Bram28Bram28
61.9k44793
$endgroup$
add a comment |
$begingroup$
I would say most texts don't make a difference between the two. In fact: statement, sentence, claim, and proposition are typically all seen as the same thing: something that has a truth-value.
If a text does make a distinction, I suspect it might be between the syntactical expression that we use in order to express a claim, and the claim itself as more of an abstract idea, in much the same ads a number can be expressed in different ways: a numeral is what represent a number. Likewise, one could see a sentence as representing a statement or claim.
answered Dec 23 '18 at 23:45
Bram28Bram28
61.9k44793
$endgroup$
add a comment |
$begingroup$
I would say most texts don't make a difference between the two. In fact: statement, sentence, claim, and proposition are typically all seen as the same thing: something that has a truth-value.
If a text does make a distinction, I suspect it might be between the syntactical expression that we use in order to express a claim, and the claim itself as more of an abstract idea, in much the same ads a number can be expressed in different ways: a numeral is what represent a number. Likewise, one could see a sentence as representing a statement or claim.
answered Dec 23 '18 at 23:45
Bram28Bram28
61.9k44793
$endgroup$
I would say most texts don't make a difference between the two. In fact: statement, sentence, claim, and proposition are typically all seen as the same thing: something that has a truth-value.
If a text does make a distinction, I suspect it might be between the syntactical expression that we use in order to express a claim, and the claim itself as more of an abstract idea, in much the same ads a number can be expressed in different ways: a numeral is what represent a number. Likewise, one could see a sentence as representing a statement or claim.
answered Dec 23 '18 at 23:45
Bram28Bram28
61.9k44793
answered Dec 23 '18 at 23:45
Bram28Bram28
61.9k44793
answered Dec 23 '18 at 23:45
Bram28Bram28
61.9k44793
answered Dec 23 '18 at 23:45
Bram28Bram28
61.9k44793
61.9k44793
add a comment |
add a comment |
$begingroup$
A statement can be true or false but a sentence can be true, false, as well as ambiguous. Statement is a subclass of sentence. For example-" 4 is the square root of 2" is a statement (as it is false) , but "Tomorrow is Tuesday" is not a statement( it is true on Monday but false on other days). Similarly, "Girls are better than boys" is also not a statement, as it may be true or false according to the reader. In general, truth value of a statement doesn't depend on the reader, it is true for all or false for all, at all times.
Hope it is helpful
answered Dec 23 '18 at 23:54
MartundMartund
1,633213
$endgroup$
$begingroup$
I think it would be useful to add some reference supporting your claim.
$endgroup$
– rafa11111
Dec 24 '18 at 0:55
add a comment |
$begingroup$
A statement can be true or false but a sentence can be true, false, as well as ambiguous. Statement is a subclass of sentence. For example-" 4 is the square root of 2" is a statement (as it is false) , but "Tomorrow is Tuesday" is not a statement( it is true on Monday but false on other days). Similarly, "Girls are better than boys" is also not a statement, as it may be true or false according to the reader. In general, truth value of a statement doesn't depend on the reader, it is true for all or false for all, at all times.
Hope it is helpful
answered Dec 23 '18 at 23:54
MartundMartund
1,633213
$endgroup$
$begingroup$
I think it would be useful to add some reference supporting your claim.
$endgroup$
– rafa11111
Dec 24 '18 at 0:55
add a comment |
$begingroup$
A statement can be true or false but a sentence can be true, false, as well as ambiguous. Statement is a subclass of sentence. For example-" 4 is the square root of 2" is a statement (as it is false) , but "Tomorrow is Tuesday" is not a statement( it is true on Monday but false on other days). Similarly, "Girls are better than boys" is also not a statement, as it may be true or false according to the reader. In general, truth value of a statement doesn't depend on the reader, it is true for all or false for all, at all times.
Hope it is helpful
answered Dec 23 '18 at 23:54
MartundMartund
1,633213
$endgroup$
A statement can be true or false but a sentence can be true, false, as well as ambiguous. Statement is a subclass of sentence. For example-" 4 is the square root of 2" is a statement (as it is false) , but "Tomorrow is Tuesday" is not a statement( it is true on Monday but false on other days). Similarly, "Girls are better than boys" is also not a statement, as it may be true or false according to the reader. In general, truth value of a statement doesn't depend on the reader, it is true for all or false for all, at all times.
Hope it is helpful
answered Dec 23 '18 at 23:54
MartundMartund
1,633213
answered Dec 23 '18 at 23:54
MartundMartund
1,633213
answered Dec 23 '18 at 23:54
MartundMartund
1,633213
answered Dec 23 '18 at 23:54
MartundMartund
1,633213
1,633213
$begingroup$
I think it would be useful to add some reference supporting your claim.
$endgroup$
– rafa11111
Dec 24 '18 at 0:55
add a comment |
$begingroup$
I think it would be useful to add some reference supporting your claim.
$endgroup$
– rafa11111
Dec 24 '18 at 0:55
$begingroup$
I think it would be useful to add some reference supporting your claim.
$endgroup$
– rafa11111
Dec 24 '18 at 0:55
$begingroup$
I think it would be useful to add some reference supporting your claim.
$endgroup$
– rafa11111
Dec 24 '18 at 0:55
add a comment |
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$begingroup$
Usually a sentence is a linguistic entity expressing a thought (a meaning, content). A statement can be used to denote the content expressed by a declarative sentence (assertion). In logic the two terms are synonyms.
$endgroup$
– Mauro ALLEGRANZA
Dec 24 '18 at 9:14