yy2bggggs
Master Poster
- Joined
- Oct 22, 2007
- Messages
- 2,435
H|E isn't anything at all. P(H|E) is, but not H|E. Now H, E, H AND E, etc, are all propositions. But H|E isn't anything. The "|E" is really a modifier of the P--it's just notation.Sure it is. (H/E) is a conditional proposition.*
Correct. But the converse isn't true.In cases where H is logically necessary, (H=all green emeralds are green), it doesn’t matter what E is. (Pr(H/E)=1)).
Correct.It depends on H. ...
The source you cited disagrees with you and agrees with me:E is evidence, not a proposition.
But to your credit, yes, E is in fact evidence. More precisely, though, it's a specific outcome--it's not just that I got results from a foonomia test, it's that the results came back positive.Notation Let 'the degree of belief in proposition x' be denoted by B(x). The negation of x (NOT-x) is written [LATEX]$$ \overline{x} $$[/LATEX]. The degree of belief in a conditional proposition, 'x, assuming proposition y to be true', is represented by B(x|y)
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It's an equation. It's not a fallacy. This isn't a fallacy:It is circular because it is the fallacy of circular definition
x = 1-x
...it's just not true unless x is 1/2. And this isn't a fallacy either:
x = f*g x
...even if it's false, true in certain cases, or always true. Terms get to be on both sides of equations in math. Furthermore, Bayes Theorem isn't a definition of P(H|E)--rather, it's a consequence of Bayesian probability that Bayes Theorem is true (that's what it means for it to be a theorem).
Well, there's that fine-tuned part. And whether it's buried into one of those premises you say you don't accept or not, it doesn't much matter. Unless there's a good specific reason to believe the universe has to be fine tuned in the first place, presenting those two as the only possibilities is very well described by false dichotomy.It's not a false dichotomy -- it's just a dichotomy. P(E|~H) is the probability that the universe is fine-tuned if there is no god. P(E|H) is the probability that the universe is fine-tuned if there is a god.
What other possibility is there besides a god or not a god?
Regardless, P(E|H') is really bound, per the standard arguments, to a "by chance" scenario. What if universes could be tuned without gods, non-randomly?
Not to mention that, quite frankly, the existence of gods and the accidental fine tuning and even spontaneous coming about of the universe aren't mutually exclusive in the first place. In fact, even with a causal chain, universes should be able to cause gods to come into being just as good as gods creating universes.
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