User:Googleaarex/My Extension of cardinals

W(n) = W_n

W(1,0) = I

W(1,n) = I(n)

W(2,0) = I(1,0)

W(2,n) = I(1,n)

W(n+1,0) = I(n,0)

W(n+1,m) = I(n,m)

W(1,0,n-1) = M_n

W(1,n,m) = M(n,m)

W(n-1,m,0) = Xi(n,m)

W(1,0,0,n-1) = K_n ((n-1)-ex-next Compact cardinal)

Xi_x(y,z-1) = Xi(y,K_y+z)

W(1,0,n,m) = K(n,m)

W(1,n-1,m,0) = XiK(n,m), same at Xi(n,m), but XiK(0,n) = K_n

W(2,0,0,0) = KK (Compact Compact cardinal)

W(2,n-1,m,0) = XiKK(n,m), same at Xi(n,m), but XiKK(0,n) = KK_n

W(n,0,0,0) = KK...KK (n K's) (n-ex-Compact cardinal)

W(n,n-1,m,0) = XiKK...KK(n,m) (n K's)

Xi@ -> same at Xi(n,m), but Xi@(0,n) = @_n

W(1,0,0,0,n-1) = L_n ((n-1)-ex-next Ultimate cardinal)

W(1,0,n-1,m,0) = XiL(n,0)

W(1,1,0,0,0) = LK (Compact Ultimate cardinal)

W(1,n,0,0,0) = LKK...KK (n K's) (n-ex-Compact Ultimate cardinal)

W(n,0,0,0,0) = LL...LL (n L's) (n-ex-Ultimate cardinal)

W(1,0,0,0,0,0) = N (ULTRA cardinal)

W(n,0,0,0,0,0) = NN...NN (n N's) (n-ex-ULTRA cardinal)

W(1,0,0,0,0,0,0) = O (HYPER! cardinal)

W(1,0,0,0,0,0,0,0) = P (HYPER-HYPER!! cardinal)

Then we have cardinal Q (HYPER-HYPER-HYPER!!! cardinal), R, S, T, U, V, W, X, Y, Z, A, B, C, D, E, F, G, H, and J.