In his 1948 essay Intelligent Machinery, Alan Turing defines a Logical Computing Machine as having:
...an infinite memory capacity obtained in the form of an infinite tape marked out into squares on each of which a symbol could be printed. At any moment there is one symbol in the machine; it is called the scanned symbol. The machine can alter the scanned symbol and its behavior is in part determined by that symbol, but the symbols on the tape elsewhere do not affect the behavior of the machine. However, the tape can be moved back and forth through the machine, this being one of the elementary operations of the machine. Any symbol on the tape may therefore eventually have an innings.
The meaning of the word innings, the very last word in this passage, is not clear to me. Can someone help me nail it down? Is it simply that any symbol may be the “scanned symbol” at some point?