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Sign cusps are shared | 10 comments (10 topical, editorial, 0 pending)

abbreviations ( 4.00 / 1 ) (#6)
by Bill Sheeran on Sat Oct 26th, 2002 at 16:34:44 EDT
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If we want a convenient international abbreviating system, signs should be in l.c.

Hi Axel

Fair point. I always use the half-breed version Ar, Ta, Ge, etc. Don't know why. I guess it just seemed the obvious thing a couple of decades ago. It looks grand to my eyes.

I do use all upper case for planet abbreviations though. I think this is probably picked up from midpoint texts. Perhaps the problem you mention doesn't hold in this case, as numbers and letters are rarely mixed in midpoint formulae.

All the best,

Bill

The abbreviation system by Axel Harvey, 10/26/2002 21:23:18 EDT (4.00 / 1)

Abbreviations by Rab, 12/01/2002 01:24:37 EDT (4.00 / 1)

measurment ( 4.00 / 1 ) (#4)
by LSmerillo (kajamanu@rdn.it) on Fri Oct 25th, 2002 at 23:41:34 EDT
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Axel wrote:

"...can do things with infinite divisions of a line that the Greeks failed (or refused) to imagine. And leaving aside the question of whether 2.9999999... is the same as 3.0000000..., we can assume that 3.0000000... exists - with an infinite trail of zeros."

Yes, the problem of imcommensurability in Greek mathematics, see David Fowler, 'The story of the discovery of incommensurability, revisited,' pp.221-235 in K. Gavroglu, J. Christianidis, & E. Nicoliaidis (eds.), Trends in the Historiography of Science, Boston Studies in the Philosophy of Science no. 151, Kluwer, 1994.

The existence of 2.9999999.. or 3.0000000... is not the point. It's simply where do we go with it, as you state, I still do not see that 30°31" AR is within the parametres of the measurement definition, as legiimate and not as a misnomer for 00°31" TA.

Where we go with it is where we decide it stops.
It's a matter of definition.

By 'trivial' you mean to use the terminus technicus I presume.

feliciter,

Lorenzo Smerillo

Theorem cusps have no width by Axel Harvey, 10/26/2002 10:18:22 EDT (4.00 / 1)

Abbreviations. by LSmerillo, 10/26/2002 22:12:10 EDT (2.50 / 2)

cusps ( 4.00 / 1 ) (#1)
by LSmerillo (kajamanu@rdn.it) on Fri Oct 25th, 2002 at 01:34:00 EDT
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Axel, nice work. some comments: Points of measurement have no dimension. Can 2.999999... mm be the same as 3mm? Remember the Greek chap & his arrow. For 3 and 2 read any sign name. At some point one cuts. Is it sensible to speak of 30° AR? What is 30° 31" of AR? feliciter, Lorenzo Smerillo

Assuming a real line by Axel Harvey, 10/25/2002 10:28:51 EDT (4.00 / 1)

Assuming: correction by Axel Harvey, 10/25/2002 10:35:58 EDT (4.00 / 1)

Thanks ( none / 0 ) (#10)
by risinglucifer on Sun Mar 19th, 2006 at 12:59:16 EDT
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Very informative.

Sign cusps are shared | 10 comments (10 topical, 0 editorial, 0 pending)

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