Template:Individual-TLP-paragraph-en-6.02

6.02 And thus we come to numbers: I define

[math]\displaystyle{ x = \Omega^{0 \prime} x \text{ Def.} }[/math] and
[math]\displaystyle{ \Omega^{\prime} \Omega^{ \nu \prime} x = \Omega^{ \nu + 1 \prime} x \text{ Def.} }[/math]

According, then, to these symbolic rules we write the series [math]\displaystyle{ x, \Omega ' x, \Omega ' \Omega ' x, \Omega ' \Omega ' \Omega ' x, ..... }[/math]

as: [math]\displaystyle{ \Omega^{0 \prime} x, \Omega^{0+1 \prime} x, \Omega^{0 + 1 + 1 \prime} x, \Omega^{0 + 1 + 1 + 1 \prime} x, ..... }[/math]

Therefore I write in place of “[math]\displaystyle{ [ x, \xi, \Omega ' \xi ] }[/math]”,

“[math]\displaystyle{ [ \Omega^{0 \prime} x, \Omega^{ \nu \prime} x, \Omega^{ \nu + 1 \prime} x ] }[/math]”.

And I define:

[math]\displaystyle{ 0 + 1 = 1 \text{ Def.} }[/math]

[math]\displaystyle{ 0 + 1 + 1 = 2 \text{ Def.} }[/math]

[math]\displaystyle{ 0 + 1 + 1 + 1 = 3 \text{ Def.} }[/math]

(and so on.)