Ad infinitum

Speranza

Zeno (B Fragment 3)argues as follows (in the

translation of Guthrie):

 

“if there is a plurality, it must

contain both a finite and an infinite

number of components"

"Finite, because they must be
neither more nor less than they are."

"Infinite, because if they are

separate at all, then however

close together they are, there will always

be others between them, and yet others between those, ad infinitum” (Guthrie,

1980:90-91).