Agatha,
- That's really what I'm trying to do right now -- it's just that 1) there are multiple premises in my syllogism, 2) right now I'm trying to show that, according to the scientific model, there should be no limit to the number of selves (or, senses of selves) possible, and 3) therefore, the likelihood of my current existence -- given the scientific model -- is at best, 7,000,000,000/∞.
- If I can do that, the scientific model must be wrong, and I do not exist for just one finite time.
Your understanding of science and the scientific model is wrong. Important note: if you have infinity in an equation which refers to finite matter and time, then it is your equation which is wrong. Matter and time are finite, and there is simply nothing that can alter that no matter how often you keep trying to put infinity into your 'syllogism'.
According to the scientific model, there IS a limit to the number of selves (by which I assume you mean consciousnesses) possible. The limit arises from the fact that matter is finite, time is finite, the permutations of DNA are finite, the possible sights, sounds, smells, touches, feelings and occurrences that a living neurosystem can experience is finite. A huge number, but finite.
The likelihood of your current existence as calculated before your birth will be different according to how long before your birth the calculation is done (unless we live in a deterministic universe). As we cannot test whether we live in a deterministic universe or not - we cannot run the universe from T=0 again to see if we get the same outcome - knowing this likelihood doesn't actually provide you with any useful information.
However, the likelihood of your existence in a non-deterministic universe will never be anything divided by infinity, nor will it ever be 0*. It will be a very small number, but so will the likelihood of the existence of anybody else not yet born. Just as if we were rolling a die with 1x10
ginormous but finite number sides, then the chance of any particular side is small. But it is certain that 'a' side will be the result.
Your assertion that 'senses of selves' pop out of nowhere with no prior representation, or that there is no limit to the numbers of 'senses of selves' is quite simply wrong, and until you accept that this part of your idea is flawed, then you will continue to get stuck at this part of your proof.
We are made of finite atoms, finite chemicals, finite amounts of matter and finite combinations of DNA. We can experience a finite number of sights, sounds, smells, touches, feelings and occurrences. We exist in a finite span of time, and we exist in a finite universe. Infinity has no place in any calculation you make.
Your sense of self is an illusion which is a product of your consciousness, which in turn is an emergent process of your living neurosystem, which in turn is a product of your DNA together with your experiences of every kind. Every aspect of you is based on something finite and bounded by matter and time. Further, your particular DNA is inherited from your parents so is necessarily limited to the recombinations which can be made from your mother's DNA and your father's DNA. Your DNA cannot be anything but a combination of your parents' DNA together with mutations. It's all finite.
*ETA as calculated prior to your birth.