The Axiom of Choice is obviously true, the well-ordering principle obviously false, and who can tell about Zorn's lemma?
This is a joke: although the three are all mathematically equivalent, many mathematicians find the axiom of choice to be intuitive, the well-ordering principle to be counterintuitive, and Zorn's lemma to be too complex for any intuition.
The Axiom of Choice is necessary to select a set from an infinite number of pairs of socks, but not an infinite number of pairs of shoes.
The observation here is that one can define a function to select from an infinite number of pairs of shoes by stating for example, to choose a left shoe. Without the axiom of choice, one cannot assert that such a function exists for pairs of socks, because left and right socks are (presumably) indistinguishable.
Tarski tried to publish his theorem [the equivalence between AC and "every infinite set A has the same cardinality as AxA", see above] in Comptes Rendus, but Frchet and Lebesgue refused to present it. Frchet wrote that an implication between two well known [true] propositions is not a new result, and Lebesgue wrote that an implication between two false propositions is of no interest.
Polish-American mathematician Jan Mycielski relates this anecdote in a 2006 article in the Notices of the AMS.
The axiom gets its name not because mathematicians prefer it to other axioms.
This quote comes from the famous April Fools' Day article in the computer recreations column of the Scientific American, April 1989.
The Aegean Sea covers about 214,000 square kilometres (83,000 sq mi) in area, and measures about 610 kilometres (380 mi) longitudinally and 300 kilometres (190 mi) latitudinally. The sea's maximum depth is 3,543 metres (11,624 ft), east of Crete. The Aegean Islands are found within its waters, with the following islands delimiting the sea on the south (generally from west to east): Kythera, Antikythera, Crete, Kasos, Karpathos and Rhodes.
The Aegean Islands, which almost all belong to Greece, can be divided into seven groups:
Northeastern Aegean Islands
Saronic Islands (or Argo-Saronic Islands)
Dodecanese (or Southern Sporades), with the exclusion of Kastellorizo
The word archipelago was originally applied specifically to the Aegean Sea and its islands. Many of the Aegean Islands, or chains of islands, are actually extensions of the mountains on the mainland. One chain extends across the sea to Chios, another extends across Euboea to Samos, and a third extends across the Peloponnese and Crete to Rhodes, dividing the Aegean from the Mediterranean.
The bays and gulfs of the Aegean beginning at the South and moving clockwise include on Crete, the Mirabello, Almyros, Souda and Chania bays or gulfs, on the mainland the Myrtoan Sea to the west with the Argolic Gulf, the Saronic Gulf northwestward, the Petalies Gulf which connects with the South Euboic Sea, the Pagasetic Gulf which connects with the North Euboic Sea, the Thermian Gulf northwestward, the Chalkidiki Peninsula including the Cassandra and the Singitic Gulfs, northward the Strymonian Gulf and the Gulf of Kavala and the rest are in Turkey; Saros Gulf, Edremit Gulf, Dikili Gulf, Gulf of andarl, Gulf of zmir, Gulf of Kuadas, Gulf of Gkova, Gllk Gulf.