- I agree with both of you except That it doesn't matter that I haven't applied my criteria consistently. In a sense, that's the whole point -- I'm saying that we can set up a situation in which the possibilities are intrinsically finite, and others where the possibilities are only extrinsically finite.
- The main point is that the limits on the number of possibilities possible can be determined by factors solely "internal" to the situation defined, or, they can be determined by factors external to the situation defined.
- Poker hands and lottery tickets are "closed" by definition; Volkswagens are "open."
outsidethe situations' definitionunder certain circumstances, things
Hi, Jabba. I know others have already pointed out the error in your reasoning, but it is important to understand if you attempt to base your proof on this concept of intrinsic and extrinsic finite-ness. As someone stated a couple days ago, you are not comparing apples to apples. Depending upon which constraint you apply, both poker hands and VWs can be considered intrinsically finite or extrinsically finite. I will try to explain why.
You say that poker hands are intrinsically finite. That is, there are a finite number of combinations that can be made. This of course assumes that we define a poker hand given some finite variables. For example, a deck only has 52 unique cards and a hand is made up of 5 cards.
But we can do the same for VWs. Say we define a list of three options: type of transmission, body style, and color. We define each option with two choices: transmission (manual or automatic), body style (coupe or convertible), and color (red or blue). Now we are comparing apples to apples. You can only make a finite number of unique VWs (poker hands) given the dealer options (types of cards).
Now let's look at your concept of having an unlimited supply of resources and energy. In this case, yes you can make an infinite number of VWs. Note that many of them will be identical. You would have more than one automatic-coupe-red VW. To compare apples to apples, you can have this same situation with poker hands. Given an unlimited supply of cards you will have an infinite number of poker hands. But as with the VWs, you will have more than one aces-over-eights full house. Either poker hands or VWs can become extrinsically finite if the resources or energy is limited.
Basically, in one scenario you are counting the number of combinations given finite variables and the other you are counting multiple and identical objects. If you want to define this as intrinsic and extrinsic, that is fine but understand that it makes no difference.
I sincerely hope this has helped clarify what others have been saying. Their criticisms are valid and an understanding of them is important to move forward.