LudovicoVan
Posts:
3,009
From:
London
Registered:
2/8/08
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Re: Is it possible that 3+4=8?
Posted:
Jan 24, 2011 5:02 AM
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On Jan 23, 8:31 pm, LudovicoVan <ju...@diegidio.name> wrote:
> On Jan 23, 7:47 pm, Craig Feinstein <cafei...@msn.com> wrote:
>
> > [...]
> > In our real world, it is a known fact that 3+4=7. But how can we be
> > sure that there are no invisible pixies running around taking balls
> > away from us causing us to think that 3+4=7 when really 3+4=8?
>
> > My point is that mathematics is considered a deductive science, in
> > which everything is absolutely certain. But how can mathematics prove
> > that the above scenario cannot be true?
>
> I don't think mathematics is a deductive science: mathematics is
> hardly a science at all. OTOH, in a world were 3+4=7, I'd also expect
> 1=/=0: i.e. no mathematical fact exists in isolation...
Thinking: It is logic that grounds mathematics, i.e. it is logic that
gives mathematics its initial premise and final validation.
-LV
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