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Posted By: Hydra Maze / labyrinth - 07/04/08 01:38 PM
 Quote:
maze n. a network of paths and hedges designed as a puzzle through which one has to find a way.

labyrinth n. a complicated irregular network of passages or paths in which it is difficult to find one's way; a maze


The dictionary treats these words as synonyms. However, reading the Wiki article on Labyrinths today I discovered that a distinction has developed:

 Quote:
The term labyrinth is often used interchangeably with maze, but modern scholars of the subject use a stricter definition. For them, a maze is a tour puzzle in the form of a complex branching passage with choices of path and direction; while a single-path (unicursal) labyrinth has only a single Eulerian path to the center. A labyrinth has an unambiguous through-route to the center and back and is not designed to be difficult to navigate.


This is strange. My dictionary tries to tell me that the word labyrinth comes from Daedalus whose maze/labyrinth for the Minotaur was meant to be inextricable.


Down a different path, I've always enjoyed that felicitous connection between a maze and amaze
Posted By: zmjezhd Re: Maze / labyrinth - 07/04/08 02:20 PM
Mathematicians have a set of terms which are rigorously defined. That their term labyrinth does not agree to the same term in antiquity has little influence on them. Also, note the use of meant to be in the dictionary definition. Does anybody know if labyrinths in classical times were mazes or labyrinths in the mathematical sense?
Posted By: Hydra Re: Maze / labyrinth - 07/04/08 04:22 PM
Does anybody know if labyrinths in classical times were mazes or labyrinths in the mathematical sense?

I'm not sure.

But maze comes from OE, labyrinth from the Greek. To the fussy-minded, this puts a Minotaur in the labyrinth, inextricably. But perhaps that labyrinth is both unicursal and infinite, or perhaps the time it takes the Minotaur to walk out of it exceeds the Minotaur's life span. In that case, the mathematicians' terminology squares with antiquity.


Posted By: Hydra Re: Maze / labyrinth - 07/04/08 04:29 PM
That their term labyrinth does not agree to the same term in antiquity has little influence on them.

True. But scientists/mathematicians do draw on literature when naming stuff, and usually get it right. Quark is an obvious example. There are others.
Posted By: The Pook Re: Maze / labyrinth - 07/05/08 03:05 AM
 Originally Posted By: zmjezhd
Does anybody know if labyrinths in classical times were mazes or labyrinths in the mathematical sense?

I'd be almost certain that the correct answer to that question is "no."
Posted By: Hydra Re: Maze / labyrinth - 07/05/08 06:39 AM
It depends on whether we are talking about real labyrinths or the labyrinths of ancient myth and legend.
Posted By: zmjezhd Re: Maze / labyrinth - 07/05/08 02:00 PM
It depends on whether we are talking about real labyrinths or the labyrinths of ancient myth and legend.

Yes, a more proper question would've been: Does anybody know if any of the extant labyrinths in classical times are mazes or labyrinths in the mathematical sense?
Posted By: The Pook Re: Maze / labyrinth - 07/06/08 12:13 AM
 Originally Posted By: zmjezhd
It depends on whether we are talking about real labyrinths or the labyrinths of ancient myth and legend.

Yes, a more proper question would've been: Does anybody know if any of the extant labyrinths in classical times are mazes or labyrinths in the mathematical sense?

I've only ever heard of one being discovered. On Crete wasn't it? But don't remember what it was like. I don't think ancient legends describe mazes or labyrinths in any detail do they? And how many are there anyway, apart from the minotaur story?
Posted By: Hydra Re: Maze / labyrinth - 07/06/08 06:30 AM
Wikipedia mentions both the labyrinths and mazes of history; but then again, it doesn't seem to stick to the mathematical distinction, using at one point the mathematical-oxymoron: "unicursal maze."
Posted By: The Pook Re: Maze / labyrinth - 07/06/08 07:03 AM
 Originally Posted By: Hydra
mathematical-oxymoron

I would have thought it's actually just an oxymoron. A 'mathematical oxymoron' would be itself an oxymoron, since oxymoron is not mathematical but a figure of speech. Rhetoric allows delightful ambiquities such as oxymorons, mathematics doesn't - it's either right or wrong.
Posted By: Hydra Re: Maze / labyrinth - 07/06/08 08:38 AM
I meant (quite obviously, really, in the context of this thread) that "unicursal maze" is oxymoronic to the mathematic distinction between a maze and a labyrinth (where a maze has bifurcating pathways and a labyrinth a single pathway, i.e., is unicursal).

Must you constantly pick nits?
Posted By: The Pook Re: Maze / labyrinth - 07/06/08 10:36 AM
Yes.
Posted By: Faldage Re: Maze / labyrinth - 07/06/08 11:59 AM
Hey! Oxymoron itself is an oxymoron.

There are two types of mazes. One you can traverse by taking every possible right turn and turning around when you get to a dead end. It's called a simply-connected maze. The other kind, a disjoint maze, you can't traverse using that technique.
Posted By: Hydra Re: Maze / labyrinth - 07/06/08 03:12 PM
All right Pook. It's go time. Let's pick nits.

A 'mathematical oxymoron' would be itself an oxymoron, since oxymoron is not mathematical but a figure of speech. Rhetoric allows delightful ambiquities such as oxymorons, mathematics doesn't - it's either right or wrong.

Unless I have been deceived, mathematicians are capable of using words and words can be used to describe mathematical concepts. The descriptions may therefore include an oxymoron: "a four-sided circle".

But that's completely besides the point.

If you had read the thread, you would know exactly what I meant: Wiki's "unicursal maze" is oxymoronic according to the terms it outlined, which distinction, as a matter of fact, was not initially referred to by me as mathematical, nor even Wikipedia:

 Quote:
but modern scholars of the subject use a stricter definition.


Now, if you please, let my nits be.
Posted By: The Pook Re: Maze / labyrinth - 07/06/08 11:40 PM
 Originally Posted By: Faldage
Hey! Oxymoron itself is an oxymoron.

From the Greek for sharp and dull (i.e. figuratively clever and foolish)
Posted By: Faldage Re: Maze / labyrinth - 07/07/08 11:27 AM
 Originally Posted By: The Pook
 Originally Posted By: Faldage
Hey! Oxymoron itself is an oxymoron.

From the Greek for sharp and dull (i.e. figuratively clever and foolish)


Time was when an oxymoron was probably intentional. E.g.:

...parting is such sweet sorrow ...

--- Romeo and Juliet, Act 2, scene 2, 184
Posted By: Hydra Re: Maze / labyrinth - 07/07/08 12:48 PM
Faith unfaithful kept him falsely true...
Posted By: zmjezhd Re: Maze / labyrinth - 07/07/08 12:49 PM
Time was when an oxymoron was probably intentional.

Yes, it is a rhetorical figure, making it a usage concern, and not a solecism.
Posted By: The Pook Re: Maze / labyrinth - 07/07/08 11:45 PM
 Originally Posted By: zmjezhd
Time was when an oxymoron was probably intentional.

Yes, it is a rhetorical figure, making it a usage concern, and not a solecism.

Yes in its purest sense an oxymoron is intentional rhetoric, not accidental. But through popular usage it has come to mean also any contradiction in terms, especially one that is unintentionally ironic.
Posted By: Hydra Re: Maze / labyrinth - 07/08/08 02:14 PM
Is there an echo in here?
Posted By: Buffalo Shrdlu Re: Maze / labyrinth - 07/08/08 06:42 PM
echo in here
Posted By: olly Re: Maze / labyrinth - 07/08/08 07:21 PM
Hello
hello
hello

Quack
Posted By: latishya Re: Maze / labyrinth - 07/08/08 08:14 PM
 Originally Posted By: olly
Hello
hello
hello

Quack


QUACK
Posted By: The Pook Re: Maze / labyrinth - 07/15/08 04:02 AM
 Originally Posted By: zmjezhd
It depends on whether we are talking about real labyrinths or the labyrinths of ancient myth and legend.

Yes, a more proper question would've been: Does anybody know if any of the extant labyrinths in classical times are mazes or labyrinths in the mathematical sense?

I came across this page about ancient Petra in Nabatea that contains drawings and scratchings on rocks and pottery from various ancient places, of labyrinths. Scroll down to the bottom of the page to see them.
Posted By: Hydra Re: Maze / labyrinth - 07/15/08 04:48 AM
Some are unicursal, some are not.
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