Principia mathematica, by Alfred North Whitehead ... and Bertrand Russell.

SECTION A]

SECTION A] DESCENDING CARDINALS 5

53

*105-3. F:. N,,c'a. D z = N eta~
*105-322. F:. [! N~c'a.:):N l= N c'l 8=.N,,c'a= Noc',
*105-34.F:jNC!,tl.
*105-35.:jNCvNC)-v'
*105-01. Nic'a Nc'ca n t'tj1a Df
We might write
Nic'ca = Nc'c rn t0"'a Df,
which would be equivalent to the above. But we choose the above form for
the sake of uniformity. If s is any suffix, we put, provided t8'ca has been
defined,
N~c'a = Ne'a r t't8'ca Df,
and if i is any index for which ti'a has been defined, we put
Nca= Nc'ca ri t'tO'c Df.
Thus for the sake of uniformity it is better, in the above definition
*105-01, to write " t'ti1'a" rather than "t ay
*105-011. N2C' 6= Nc'a nt't2'ca Df
*105-02. NIC =D'N~c Df
*105-021. N2C = D'N~c Df
*105-03. p~i = sm",a n tic'/a Df
*105-031. 2m,)= sm",aAt2'6/ Df
*105-1 F.Nj'a = Nc'amt,'ca [*63-383.(*105'01)]
*105-101. F.- N2e'a = Ne'a nti'a [*63-41. (*105-011)]
*105-11. F:8 e EN~c'a.- =./8e Nc'a./3 E ta 43,8sm a.i3 ct0'a. =./3 snm a. C t,'a
[*105-1. *100-31. *63-51]
*105-111. F:8 N2a..8 Nca tta =8sma- et6, ma -J c/C t2'a
[*105-1O1. *100-31. *63-52]
[*105-11. *63,51. *104-1]
*105-121. F:fe N2'C11. =-./83Nc'a.a Ct2'l,8 =-.,dsm a. aC t2'l,8 aeN2C6/
*105-13. F. Nic'c = Nc (t1'ca)'ca = Nc t (ti'a)a}'cx1 [*102-6. (*105'01)]
*105-131. F. N2C'x= Nc (t2'ca)'a= Nc t(t2'ca)a 'c [*102-6.(*105-011)]