Work ䷃

Peirce’s 1870 “Logic of Relatives” • Selection 10

	$x ~+~ x ~=~ \mathit{2}.x ~,$
and	${x,}_\infty + \, {x,}_\infty ~=~ \mathit{2}.{x,}_\infty ~,$

	$\mathit{2}.{x,}_\infty ~=~ \mathfrak{2}x ~,$
just as	$\mathit{1}_\infty ~=~ \mathfrak{1} ~.$

$\mathit{l}\mathfrak{2}.\mathrm{w} ~\text{and}~ \mathfrak{2}.\mathit{l}\mathrm{w}$

	$\mathit{h}\mathfrak{2}.\mathrm{w} ~=~ \mathfrak{2}.\mathit{h}\mathrm{w} ~,$
and in general,	$x,\!\mathfrak{2}.y ~=~ \mathfrak{2}.x,\!y ~.$