The most extensive discussion that Aristotle gives about infinity are
chapters 5 through 8 of Book Gamma (3) of the Physics.
The Becker page numbers are 204a8 through 208a27.
In the beginning of chapter 5, Aristotle uses (coins) the word
adiexodon. The x is a ksi,
Let us dissect it beginning at the end:
Hodos = road or way
Exodos = way out
Dia-ex-hodos = way out by going through, and finally the negative
A Dia Ex Hodos = No way out by going through.
The infinite is not addressed directly, but as something for which there is
no exit in an attempt to pass through it.
Best wishes,
Sam Kutler
>Can anybody tell me where does Aristotle state his famous thesis
>"Infinitum Actu Non Datur", and how does he substantiate it ? (Please,
>with references and short citations since, unfortunately, I myself have
>not a possibility to attend a library now).
>
>Great thanks in advance,
>
>Alexander Zenkin