Quantifiers for Tony Orlow



Tony Orlow claims not to be confused by quantifiers. Maybe he would
like to consider the following situation

We have a process for generating the elements of some set A, one at
a time (say, one per second). What is the difference in meaning
between the following two statements:

1. For all a in A, there exists a time t such that a is generated
at time t or earlier.

2. There exists a time t such that for all a in A, a is generated
at time t or earlier.

Do you believe that these two statement mean the same thing?
If not, can you describe a situation in which 1 is true, but
2 is false?

--
Daryl McCullough
Ithaca, NY

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Relevant Pages

  • Re: Is FLT in the language of PA?
    ... Daryl McCullough wrote: ... and stick a bunch of existential quantifiers in front to get ... rid of the free variables. ... truth of sentences of PA that have only bounded quantifiers. ...
    (sci.logic)
  • Re: Intuitionistic second order propositional logic: Any sources?
    ... Daryl McCullough schrieb: ... with quantifiers that range over propositional ... false == forall C, C ...
    (sci.logic)
  • Re: infinity
    ... Tony Orlow wrote: ... >> the quantifiers are reversed? ... For all s a finite string, ... Daryl McCullough ...
    (sci.math)