The owners are the owners, so they're entitled to all of Apple's cash and other assets. Now let me explain the "mentality" in economic terms.
The value of any asset, be it a stock, a bond of a factory, is the present value of all future income from that asset. Asset prices fluctuate based on the shifts in the expected future income streams and changes in discount rates.
Individual investors may plan to sell the asset (in this case, a stock) at a certain point in the future, in which case the present value of the resale price is a part of the revenue stream they expect from that asset. In a perfect market (such as we usually assume in economics) that does not change the value of the asset, because we expect it to be priced in the future according to the discounted rate of future income at that point in time.
If a company never ever pays out a dividend, then the future resale price is going to be the only part of the discounted revenue stream.
Put all this together, and the stock is worthless. Why? Because if someone buys an Apple stock and holds it forever, it should provide the same utility as buying now and selling in one year's time (that's the perfect market assumption). But since there's going to be no dividends ever, buying and holding forever is throwing away your money - you won't see a dime. This means that the stock's value is zero.
So why is the stock valued at above-zero prices? Well, people expect the price to go up so that they make a healthy profit on the stock, but that can't account for everything, because this doesn't give the stock any value. The only thing that can give the stock value is if people expect the stock to gain some real value (rather than market fluctuations) by either of several things happening:
- Apple might pay a dividend
- Apple may buy back stock, effectively giving money to some stockholders
- Apple may disband and distribute the remains to investors (never happens)
- Apple may sell out to another company that will buy everybody's stock
- Apple may sell out to another company that will replace everybody's stock with its own
One way or another, every investor is counting on one of the above events happening. Without them, Apple's stock is worthless.