What is a tautology?
Yes, I know I can look it up, but my question goes beyond what the
dictionary says.
Decades ago I looked it up and the dictionary said "A clear and
obvious truth". Those 5 words with nothing else iirc.
Now that seems to almost meet the logical definitions below, but not
quite. It doesn't meet the requirement below that the statment be a
compound form, such as "A or not A". How did this happen to me? Does
anyone remember the definition I remember.
Tautology
1. needless repetition of an idea, esp. in words other than
those of the immediate context, without imparting additional force or
clearness, as in widow woman.
2. an instance of such repetition.
3. Logic.
a. a compound propositional form all of whose instances are true,
as A or not A.
b. an instance of such a form, as This candidate will win or
will not win.
RHD
3. 1. Needless repetition of the same sense in different words;
redundancy.
2. An instance of such repetition.
4. Logic An empty or vacuous statement composed of simpler
statements in a fashion that makes it logically true whether the
simpler statements are factually true or false; for example, the
statement Either it will rain tomorrow or it will not rain tomorrow.
AHD4

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Baltimore 26 years
Peter Duncanson (BrE) - 20 Jan 2010 13:42 GMT
>What is a tautology?
>
[quoted text clipped - 10 lines]
>
>Tautology
<snip>
>3. 1. Needless repetition of the same sense in different words;
>redundancy.
> 2. An instance of such repetition.
<snip>
That, to me, is the most familiar sense.
OneLook.com gives:
Quick definitions (tautology)
noun: useless repetition ("To say that something is `adequate
enough' is a tautology")
noun: (logic) a statement that is necessarily true ("The statement
`he is brave or he is not brave' is a tautology")
Some other dictionaries URLed by OneLook list the same two senses.
Webster's 1828 dictionary omits the Logic sense, as does COED:
tautology
noun (pl. tautologies) the saying of the same thing over again in
different words, considered as a fault of style (e.g. "they arrived
one after the other in succession").
<tangential> I don't think that example from COED would be tautologous
if "succession" were modified:
"they arrived one after the other in quick succession"

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Peter Duncanson, UK
(in alt.english.usage)
Eric Walker - 21 Jan 2010 02:33 GMT
> What is a tautology?
The word has two related senses, one general and one particular to logic.
In the general sense, it is basically redundancy, as in the examples you
adduced.
In the more exacting sense used in formal logic, it is a statement so
cast that it is true whether or not its constituent propositions are
true--that is, that is a "truth" only in the sense that it can never not
be so. The AHD puts it so:
An empty or vacuous [that may be a tautology right there!] statement
composed of simpler statements in a fashion that makes it logically
true whether the simpler statements are factually true or false. . . .
One might argue, for example, that the statement "Evolution works by the
survival of the fittest" is a mere tautology because it implicitly
defines "fitness" as "ability to survive".

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Cordially,
Eric Walker, Owlcroft House
http://owlcroft.com/english/