12,080
edits
Changes
MyWikiBiz, Author Your Legacy — Friday March 14, 2025
Jump to navigationJump to searchDirectory:Jon Awbrey/Papers/Cactus Language (view source)
Revision as of 04:06, 3 June 2009
, 04:06, 3 June 2009→Note 10: del redun + markup + rewrite
Line 5,937:
Line 5,937:
| Consider what effects that might conceivably have
−| practical bearings you conceive the objects of your
−| conception to have. Then, your conception of those
−| effects is the whole of your conception of the object.
−|
−| Charles Sanders Peirce, "The Maxim of Pragmatism, CP 5.438.
−The genealogy of this conception of pragmatic representation is very intricate.
−I will delineate some details that I presently fancy I remember clearly enough,
−subject to later correction. Without checking historical accounts, I will not
−be able to pin down anything like a real chronology, but most of these notions
−were standard furnishings of the 19th Century mathematical study, and only the
−last few items date as late as the 1920's.
−
====Note 10====
====Note 10====
+
+The genealogy of this conception of pragmatic representation is very intricate. I'll sketch a few details that I think I remember clearly enough, subject to later correction. Without checking historical accounts, I won't be able to pin down anything approaching a real chronology, but most of these notions were standard furnishings of the 19th Century mathematical study, and only the last few items date as late as the 1920's.
<pre>
<pre>
−The idea about the regular representations of a group is universally known
The idea about the regular representations of a group is universally known
as "Cayley's Theorem", usually in the form: "Every group is isomorphic to
as "Cayley's Theorem", usually in the form: "Every group is isomorphic to
