On Thursday, January 17, 2019 at 12:45:31 PM UTC-6, Brent wrote: > > > > On 1/17/2019 12:22 AM, agrays...@gmail.com <javascript:> wrote: > > > *Later I'll post some questions I have about your derivation of the Planck > length, but for now here's a philosophical question; Is there any > difference between the claim that space is discrete, from the claim or > conjecture that we cannot in principle measure a length shorter than the > Planck length? * > *TIA, AG * > > > The theory that predicts there is a shortest measured interval assumes a > continuum. There's no logical contradiction is this. But physicists tend > to have a positivist attitude and think that a theory that assumes things, > like arbitrarily short intervals, might be better expressed and simpler in > some way that avoids those assumptions. This attitude does not assume the > mathematics itself is the reality, but only a description of reality; so > there can be different descriptions of the same reality. > > Brent >

*A* theory that does this assumes a continuous mathematics. But that doesn't mean *every* theory has to. As Max Tegmark's little lecture to physicists says: Our challenge as physicists is to discover ... infinity-free equations. http://blogs.discovermagazine.com/crux/2015/02/20/infinity-ruining-physics/#.XEDdLs9KiCQ Unless he is wrong in his premise, of course! - pt -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to everything-list+unsubscr...@googlegroups.com. To post to this group, send email to everything-list@googlegroups.com. Visit this group at https://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/d/optout.