Typophile

Variant infinity

jjg

Hi all

I’m currently cutting some characters for a translation of Frege’s
Grundgesetze and one of them, a variant infinity, has me
completely baffled. Has anyone seen anything like it before?

http://miles.shef.ac.uk/~jjg/infinity.jpg

[I tried attaching the image but got “File copy failed: no directory configured,
or it could not be accessed”]

I’m tempted to think that this was something designed by Frege himself
and cut by his printer (Hermann Pohl, Jenna, 1893); note the asymmetry
in the overbar, the uniform width of the bowl strokes. But Frege took
great care in the typography of the Grundgesetze (and paid for
its publication himself) so surely this cannot be the case.

Any pointers would be most gratefully received!

[Bump]

Someone must have something to say about this.

Nice scan.

**** day.

I’d describe this as two below breve’s (U+032E) with a combining double inverted breve (U+0361) above but with no base character I can’t get this to shape in Word using the updated core fonts I’m using.

After trying google, I had a thought could the translation be variable infinity? Because googling Frege variable infinity brings more hits
http://members.cox.net/wehmeier/russell01.pdf

http://www.st-andrews.ac.uk/~slr/teach2005/PY5321-9.pdf

All way above my head.
Or is it an upsidedown picture of a seagull flying low over a still sea?
Tim

I know enough logic to be dangerous, but I am not familiar with Frege’s notations, especially as originally published.

My undereducated guess is that this is a stylized lowercase \omega with a wide inverted breve above. If I were drawing it, I’d use the same ductus (or lack thereof) as the \union sign. The part below might indeed by a double\union, but if it does mean some kind of infinity, \omega makes more sense as it is often used as an infinity sign. I wouldn’t worry about the asymmetry - if it had real meaning, I doubt it would be done that subtly.

What methodology are you going to use to draw your fonts? If it’s not too many glyphs and you don’t have a strong attachment to doing it all yourself, I might be tempted to pitch in.

Raph

Thanks for the comments.

If I were drawing it, I’d use the same ductus (or lack thereof) as the \union sign,

That’s what I’ve done for my first cut of it, but the lower
and upper parts being in different styles jars a bit to my eye.

What methodology are you going to use to draw your fonts?

The book will be set with TeX (what else!) and I’m doing the
font in metafont. Thanks for the offer of help. but it is
pretty much done now, I would be interested in comments though,
sample at

http://miles.shef.ac.uk/~jjg/sample.pdf

(900KB). The infinity is on page 4.

Cheers

Jim

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