I would suggest reading over what I said would make testimonial evidence strong. Testimonial evidence can be notoriously weak, but it can be strong if it contains all the criteria I set forth earlier in the thread.
The following is why I believe the inductive argument is strong:
My claim is that there is sufficient testimonial evidence to reasonably conclude that consciousness survives the death of the body. In other words, I'm making the claim that I know the conclusion is true. And although I believe that I could make other claims based on the evidence, i.e., claims of knowledge, I'm limiting the scope of the conclusion. By limited, I mean I'm not trying to give evidence of a god, heaven, that we are eternal beings, or any other spiritual or religious idea; nor am I trying to give evidence of many of the other claims people are making while having such an experience. Although I do believe there is strong evidence to support other conclusions, and these conclusions have varying degrees of certainty, just as many of our everyday rational conclusions have varying degrees of certainty.
The first question is, what makes a strong inductive argument? As many of you know, the criteria for a good inductive argument is much different than the criteria of a good deductive argument. The criteria of a good inductive argument are as follows:
(1) number
(2) variety
(3) scope of the conclusion
(4) truth of the premises
(5) cogency
First, number. It seems rather obvious that if you have a greater number of testimonials that say X happened, then the stronger the argument. This does not mean that the conclusion relies solely on numbers, because numbers in themselves are not sufficient.
Second, variety. The greater the variety of cases cited the stronger the conclusion. Remember that when examining the conclusion of an inductive argument, the conclusion is either strong or weak, which is much different from a good deductive argument, where the conclusion follows with absolute necessity. The difference being what is probably or likely the case (inductive arguments), verses what necessarily follows (deductive arguments).
Third, scope of the conclusion. This has already been covered briefly in the opening paragraph. It means that the less the conclusion claims the stronger the argument. In other words, conclusions that are broad in scope are much harder to defend. A conclusion that is limited in scope is easier to defend.
Fourth, truth of the premises. Clearly this means that the premises must be true, which by the way, is the same criteria that makes a good deductive argument, i.e., a good deductive argument must be sound (soundness has to do with whether the deductive argument is valid, plus the premises must be true).
(a) Also, since we are dealing with testimonial evidence, in order to know if the testimonial evidence is true we need corroboration, i.e., we need an objective way to verify some of the testimonial evidence. This helps to establish the truth of the testimonial evidence, and since the evidence is testimonial evidence, it helps to establish the fourth criteria of a good inductive argument, viz., the truth of the premises.
(b) Another important factor in determining the truth of testimonial evidence is firsthand testimony, as opposed to hearsay or secondhand testimony. Firsthand testimony is stronger than hearsay or second-hand testimony, all things being equal.
(c) Consistency of the reports is another important criterion in terms of getting to the truth. However, testimonial evidence does not have to be perfectly consistent to be credible. When dealing with a large number of reports you will inevitably find some inconsistency. So, inconsistency itself is not enough to rule out the reports unless the inconsistency is widespread, and of such a number that it affects the quality and number of consistent reports. So although consistency is important, it must be looked at in terms of the overall picture.
Fifth is cogency. You rarely here this criteria, but it's very important in terms of effectiveness. Any argument's (deductive or inductive) effectiveness is going to be based on whether the person to whom the argument is given, knows the premises are true. For example, if I give the following argument:
The base of a souffle is a roux.
This salmon dish is a souffle.
Hence, the base of this salmon dish is a roux (Dr. Byron Bitar).
If you do not know what a souffle or a roux is, then you do not know if the premises are true, so how would you know if the conclusion is true. You may know that the argument is valid based on its form, but you would not know if the premises are true. Thus, you would not know if it is sound. For any argument to be effective, you have to know if the premises are true; and since knowledge varies from person to person, an arguments effectiveness is going to vary from person to person.