LatinNounreductiō (genitive reductiōnis); f, third declension
InflectionNumber Singular Plural nominative reductiō reductiōnēs genitive reductiōnis reductiōnum dative reductiōnī reductiōnibus accusative reductiōnem reductiōnēs ablative reductiōne reductiōnibus vocative reductiō reductiōnēsRelated termsDescendants
From Wiktionary under the GNU Free Documentation License. Reductio is open source software written using the Java Programming Language from an idea that originated in a research paper called QuickCheck: A Lightweight Tool for Random Testing of Haskell Programs. Reductio and QuickCheck utilise a testing technique called Automated Specification-based Testing. The primary objective of Reductio is to make testing as rigorous as possible, while alleviating developer effort through automation of many common testing tasks. Reductio includes usage examples that demonstrate how this objective has been met using both traditional Java 1.5 and Java 7 BGGA syntax as well as Scala programming language examples . ExampleThe following example uses Java 7 BGGA syntax to execute 100 unit tests on
Property p = property(arbLinkedList(arbInteger), arbLinkedList(arbInteger), {
LinkedList<Integer> x, LinkedList<Integer> y =>
prop(append(x, y).size() == x.size() + y.size())
});
From Wikipedia under the
GNU Free Documentation License In philosophy or religion, what do you believe to be the ultimate reductio ad absurdum? Q. In philosophy or religion, what do you believe to be the ultimate reductio ad absurdum? Asked by Jaydens dads dominatrix - Tue Aug 14 10:39:42 2007 - - 4 Answers - 0 Comments A. Something cannot come from nothing, so God created it. Answered by Marooned on Earth - Tue Aug 14 10:46:26 2007 Can someone please answer this question about unbounded and monotonic sequences? Q. Why is that, if a sequence {s_n} is unbounded from above, then by proceeding by reductio ad absurdum, if that sequence is nonincreasing, s_1=sup{s_n}=infinity cannot be true? Does this have anything to do with the range being nonempty or something? In this case, does sup{s_n}=the upper bound? Asked by The Marquis de America - Fri Sep 26 04:39:54 2008 - - 1 Answers - 0 Comments A. I'm a little confused about what your question is; as a sequence cannot be both unbounded above and non-increasing. If you're assuming both of these and trying to derive a contradiction, though, it follows quite easily. As the sequence is non-increasing, s_n <= s_1 (the first term) for all n, hence we have an upper bound for our sequence, which is a contradiction of our earlier assumption that the sequence is unbounded above. (Note: Unless you're talking about the extended reals rather than simply the real numbers, infinity cannot be a member of the sequence, thus s_1 = sup{s_n}=infinity is nonsense, although s_1 = sup{s_n} is true) Answered by Kyelin - Sun Sep 28 09:35:43 2008 Are there any direct proofs that a given number is irrational?
Q. As opposed to indirect methods such as reductio ad absurdum. Asked by The Great Button - Tue May 25 18:20:52 2010 - - 2 Answers - 0 Comments A. The construction of an irrational number that I gave to answer your other question is probably as close as you are going to get to a direct proof. You enumerate all the rationals and then directly construct an irrational number by making sure it disagrees with every number in the enumeration. I think this is pretty direct and not really a proof by contradiction because you don't at any point assume the number you construct is rational. You first construct the number and then go through your list of rationals one by one, showing that the constructed number is not equal to any of them. But the "irrationals" are, by definition, numbers that are "not rational". You can't give a satisfying definition of "irrational" that isn't a negative… [cont.] Answered by Reverend - Tue May 25 23:32:41 2010 From Yahoo Answer Search: "reductio"  silverchips.mbhs.edu Wed, 09 Jun 2010 12:31:27 GMT+00:00 Silver Chips Online The campaign indicates that the company wants to take the court decision reductio ad absurdum, or as far as it can go. And the firm is using satire as a ...  online.wsj.com Sat, 19 Jun 2010 13:45:23 GMT+00:00 Wall Street Journal Critics often attack behavioral genetics with a reductio ad absurdum: "If it doesn't matter how you raise your kids, why not lock them in a closet? ...  blogs.factual.es Mon, 21 Jun 2010 17:26:17 GMT+00:00 Factual Sus argumentos son una reductio ad absurdum de nuestros propios topicos ideologicos. Sobre los comunes discursos del supuesto derecho de las mujeres a ... From Google News Search: "reductio"  thenutgraph.com 360px x 300px | 404.90kB [source page] Mao Zedong and Robert Mugabe spring to mind Although at least one of them is still drawing foreign direct investment into the country by way of ticket payments for visits to his mausoleum Images public domain except Anwar Ibrahim The Nut Graph The US seems to have gone down a better route whereby instead of saviours they have thrived on putting systems in place In this  politube.upv.es 360px x 450px | 1.60kB [source page] Reductio ad absurdum 2 71 opus e v1 Valoracion 4 Subido 11 03 08  leftoffthedial.com 296px x 282px | 19.00kB [source page] As the laundry list of bands with quirky names goes on here is one of the few bands that lives up to its name As you can tell from the Latin reference in the moniker this is one From Yahoo Image Search: "reductio"  hoenheim.com Stephane Bourhis ue, 17 Aug 2010 16:17:54 GM Fierement halal ! Les affiches de la marque Isla Delice sont venues accompagner le Ramadan de la Communaute Mulsumane. Deux textes sont parus sur les blogs alsaciens, celui de la Droite Strasbourgeoise et celui de Schlomoh. From Google Blog Search: "reductio" |
