Is Babe Ruth's statement meaningful? Quote from Babe Ruth:

Every strike brings me closer to the next home run.

As I understand memorylessness, this is meaningless.  For every at-bat, there is a certain probability that he will strike, and there is a certain probability that he will hit a home run, and that's that.  The likelihood of a home run at any particular point in time does not increase as strikes accrue.
However, I have an intuitive understanding of what he means.  Is there some statistically-rigorous way to express it or make sense of it?
Maybe it makes sense for someone looking back on Babe Ruth's career with the benefit of hindsight.  Or, maybe if we imagine an omniscient deity who can see the entire timeline of the universe at once.  The deity can indeed see that, from any particular moment, there are N strikes remaining before Ruth hits the next home run.  Another strike reduces that number to N-1.  So, indeed, every strike brings him closer to the next home run.


Epilogue
If I could go back in time and rewrite this question, I would have omitted all the baseball references and simply described a guy rolling dice, hoping for a seven.  He says, "I'm hoping for a seven, but I'm not bothered when I get something else, because every roll of the dice brings me closer to that seven!"  Assuming he eventually rolls a seven, is his assertion the gambler's fallacy?  Why or why not?
Thanks to @Ben for articulating that this is not the gambler's fallacy.  It would have been the gambler's fallacy if he had instead said, "Every roll of the dice which does not result in a seven makes it more likely that the next roll results in a seven."
The guy didn't make any such statement, and he didn't make any statement at all about probability, merely about the passage of time.
By assuming that there is a seven in his future, we have made it undeniably true that every roll of the dice brings him closer to the seven.  In fact, it is trivially true.  Every second that ticks by, even when he is sleeping, brings him closer to that seven.

Suppose that at at-bat $t$ Babe has access to the information in the filtration $\mathcal{F}_t$. Write that Ruth's next home run with be at at-bat $N$. Further suppose that each at-bat has probability $p$ of being a homerun.
Based on the currently available information at at-bat $t$, our best guess of $N$ is $\mathbb{E}[N \mid \mathcal{F}_t] = t + \frac{1-p}{p}$. At time $t+1$,our best guess is $\mathbb{E}[N \mid \mathcal{F}_{t+1}] = t + 1 + \frac{1-p}{p}$. Notice that the expected home run time is always a constant $\frac{1-p}{p}$ at-bats in the future. Ruth is forgetting that the filtration updates.
