[FOM] Unique readability-- history

Richard Heck rgheck at brown.edu
Fri Dec 31 09:10:23 EST 2010

On 12/29/2010 07:39 PM, John Baldwin wrote:
> Similary, when did `induction on formulas' arise as a proof technique?
I do not know if this can be found before Frege or not. It's certainly 
possible that there are occurrences of the technique in Boole, though I 
think I would have noticed it when reading Boole a few years back. The 
other possibility would be in the Booleans, e.g., Venn and Schroeder, 
though I do not know their work, and they are not much concerned with 

Induction on complexity is used by Frege in the argument in sections 
29--32 of /Grundgesetze der Arithmetik/. It's quite possible, however, 
that this is not the "source" of the technique in later work, since 
/Grundegesetze/ was not widely read. But it was known to some of the 
crucial players: Carnap, for example.


Richard G Heck Jr
Romeo Elton Professor of Natural Theology
Brown University

-------------- next part --------------
An HTML attachment was scrubbed...
URL: /pipermail/fom/attachments/20101231/6ac42e32/attachment.html

More information about the FOM mailing list