[SystemSafety] State of the art for "safe Linux"
Prof. Dr. Peter Bernard Ladkin
ladkin at techfak.de
Wed Aug 7 15:27:57 CEST 2024
On 2024-08-07 14:10 , Paul Sherwood wrote:
> On 2024-08-07 12:11, Prof. Dr. Peter Bernard Ladkin wrote:
>> ..........
>> Let me rephrase. Dewi's statement above is a tautology.
>
> I looked up that word, to check it still means what I learned in school...
I'd suggest you need a better dictionary.
"Tautology" is another word for a logical truth. All finite mathematics is tautologous, but one
would be hard put to characterise (some) finite mathematics as "needless repetition..." or "empty or
vacuous....". Some of it has won Field's medals for five of its practitioners (1958-2022).
Another, looser, meaning for "tautology" is a statement that is true in virtue of the meanings of
the words in it. This looser meaning has a preferred term, namely "analytic statement". All of
mathematics can be argued to be analytic but only the finite part is tautologous. (The axiom of
infinity in set theory, regarded as needed for the mathematics of infinite sets such as the natural
numbers, is nowadays widely regarded as not to be a logical truth, so it can't be a tautology.)
PBL
Prof. i.R. Dr. Peter Bernard Ladkin, Bielefeld, Germany
www.rvs-bi.de
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