When you say "I have an infinity of such beliefs", or even just "I can make an infinite number of truth-claims", I assume that the "I" refers to "hen", not some hypothetical entity with an infinite memory capacity (for the former), or an infinite lifespan (for the latter).
Unless you aren't talking about yourself (and that car), both claims (have an infinity of beliefs, can make an infinite number of truth-claims) are obviously false on resource grounds alone. Even the number of truth-claims you could make in the remainder of your lifetime is limited. (In a hypothetical with infinite resources, it still would be a stretch to construct an infinite number of distinct claims about a finite object.)
Edit: You edited the "given infinite claim making resources" in later, which is contradictory with your "I" and the whole scenario I responded to. "I have an infinite number of beliefs" - "No you dont" - "Yes I do ... with infinite resources" - "You don't have infinite resources" - ????
Yeah, but the point about resources isn't relevant to my question. Though, in fact, neither is the idea that I have an infinity of beliefs. So tapping out.
Edit: though, you know, this is an interesting question and I feel unsure of my answer, so I'd like to hear your objection. My thought is that if I believe A, and if A implies B, and if I'm aware that A implies B, then I believe B.
So in this case, I believe the car (now gone, sadly) weighs more than 100 kg. I'm aware that this implies that it weighs more than 99 kg. I'm also aware that this implies that it weighs more than all the real numbers of kilograms between 99 and 100. This is an infinity, and therefore I have an infinity of beliefs. Is that wrong?
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A list of some posts that are pretty awesome
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