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What is the formal definition of a function symbol in first order logic?
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Is the function symbol in first-order logic is the same as a function? If not, what is the definition of a function symbol?
functions definition first-order-logic
asked Jan 13 at 10:17
hanugmhanugm
855621
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add a comment |
0
$begingroup$
Is the function symbol in first-order logic is the same as a function? If not, what is the definition of a function symbol?
functions definition first-order-logic
asked Jan 13 at 10:17
hanugmhanugm
855621
$endgroup$
3
$begingroup$
No, it's just a given 'character' of first order formulas which syntactically are just strings of characters. All we have besides the symbol, is the arity of it, i.e. how many arguments it takes (in the syntax).
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– Berci
Jan 13 at 10:23
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See the post In Mathematical Logic, What is a Language? for example.
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– Mauro ALLEGRANZA
Jan 14 at 7:17
add a comment |
0
0
0
$begingroup$
Is the function symbol in first-order logic is the same as a function? If not, what is the definition of a function symbol?
functions definition first-order-logic
asked Jan 13 at 10:17
hanugmhanugm
855621
$endgroup$
Is the function symbol in first-order logic is the same as a function? If not, what is the definition of a function symbol?
functions definition first-order-logic
functions definition first-order-logic
asked Jan 13 at 10:17
hanugmhanugm
855621
asked Jan 13 at 10:17
hanugmhanugm
855621
asked Jan 13 at 10:17
hanugmhanugm
855621
asked Jan 13 at 10:17
hanugmhanugm
855621
asked Jan 13 at 10:17
hanugmhanugm
855621
855621
3
$begingroup$
No, it's just a given 'character' of first order formulas which syntactically are just strings of characters. All we have besides the symbol, is the arity of it, i.e. how many arguments it takes (in the syntax).
$endgroup$
– Berci
Jan 13 at 10:23
$begingroup$
See the post In Mathematical Logic, What is a Language? for example.
$endgroup$
– Mauro ALLEGRANZA
Jan 14 at 7:17
add a comment |
3
$begingroup$
No, it's just a given 'character' of first order formulas which syntactically are just strings of characters. All we have besides the symbol, is the arity of it, i.e. how many arguments it takes (in the syntax).
$endgroup$
– Berci
Jan 13 at 10:23
$begingroup$
See the post In Mathematical Logic, What is a Language? for example.
$endgroup$
– Mauro ALLEGRANZA
Jan 14 at 7:17
3
3
$begingroup$
No, it's just a given 'character' of first order formulas which syntactically are just strings of characters. All we have besides the symbol, is the arity of it, i.e. how many arguments it takes (in the syntax).
$endgroup$
– Berci
Jan 13 at 10:23
$begingroup$
No, it's just a given 'character' of first order formulas which syntactically are just strings of characters. All we have besides the symbol, is the arity of it, i.e. how many arguments it takes (in the syntax).
$endgroup$
– Berci
Jan 13 at 10:23
$begingroup$
See the post In Mathematical Logic, What is a Language? for example.
$endgroup$
– Mauro ALLEGRANZA
Jan 14 at 7:17
$begingroup$
See the post In Mathematical Logic, What is a Language? for example.
$endgroup$
– Mauro ALLEGRANZA
Jan 14 at 7:17
add a comment |
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3
$begingroup$
No, it's just a given 'character' of first order formulas which syntactically are just strings of characters. All we have besides the symbol, is the arity of it, i.e. how many arguments it takes (in the syntax).
$endgroup$
– Berci
Jan 13 at 10:23
$begingroup$
See the post In Mathematical Logic, What is a Language? for example.
$endgroup$
– Mauro ALLEGRANZA
Jan 14 at 7:17