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Science Forum Index » Philosophy Forum » This sentence is false
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| John Jones |
 Posted: Fri Dec 26, 2003 7:12 am |
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'This sentence is false', and 'This sentence is true'
What do we do with these? I will put the conclusion first, and the reasoning
below.
Conclusions:
a) The truth of a proposition requires that a proposition has meaning, but
this meaning and truth is given only by the particular case, and not by a
logical proposition which can only reference the particular case.
b) Statements of logic cannot be considered as true or false except through
the particular case, and the particular case is not represented by either
'This sentence is false', or 'This sentence is true'.
...............
1. The first step, if we wish to take it, is to set them up as statements or
propositions of logic, for unless we do that, we cannot consider them at
all. What do I mean by this-? If the two statements are made within everyday
speech they would not make sense, for no-one says 'this sentence is false'
or 'this sentence is true', as statements devoid of context, but the format
of logic persuades us, forces us, to consider them.
2. The next step is to be reminded that a consideration of the meaning of
any statement of logic cannot be made. -Unless we define the particular
case to which a statement refers, then a consideration of meaning is also
not made. And if a consideration of meaning is not made then the statement
of logic cannot be considered true or false. But it is important to note
that meaning and truth and falsity are found in the particular case and not
in a statement or proposition of logic. The statement of logic is purely a
referencing device to a set of meanings, and has no meaning itself.
3. So, the next step is to set up or find the particular case or context in
which the statements 'This sentence is false', and 'This sentence is true'
have meaning. Now this context could be anything. For example, 'This
sentence is false', and 'This sentence is true' could be statements made by
one spy to another spy. The context or particular case in which these
statements have meaning might also reflect the words within the statement.
For example, 'the cat sat on the mat' could be a statement referring not to
statements made by spies, but to Aunt Mavis's cat at a certain time of day.
However, the important thing to notice is that meaning is not found within
the logical statement or proposition itself.
4. The truth of a proposition requires that a proposition has meaning, but
this meaning and truth is given only by the particular case, and not by a
logical proposition which can only reference the particular case. 'This
sentence is false', and 'This sentence is true' persuades us into making the
mistake of considering that meaning and truth are found in statements of
logic.
JJ |
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| Frederick |
| Posted: Fri Dec 26, 2003 12:25 pm |
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