Bruno, You struck a personal nerve in me with your following remarks:

## Advertising

Bruno Marchal wrote: > > They are degrees. The worst "unreasonableness" of a (platonist or > classical or even intuitionist) machine is when she believes some plain > falsity (like p & ~p, or 0 = 1). The false implies all propositions, so > that such machine believes everything, including everything about their > maximal consistent extensions or histories (which does not exist). > Those machines are just inconsistent. particularly , "some plain falsity (like p & ~p, or 0 = 1)". Rather than treat these as 'blatantly false' I have been exploring the notion for several years .. 'what conditions, situations, criteria or states would allow such statements to be 'true', and what would it mean in how we define and manipulate and operate the rest of mathematics?'. I have discovered that an unprecedentedly un-appreciated realm of mathematical relations has existed right before our minds. The lack, having kept us trying to cope with 'anomalies' and math issues without the full toolkit of mathematical instruments. An example at the core of it is a most simplistic definition/equation. 1^1 = 1^0 [one to the exponent one equals one to the exponent zero] To all mathematicians, this is a toss-out absurdity, with no 'real meaning'. n^0 is a convenience tool at best ; along with 'n/0 is 'undefined''. We note the consistent/valid notation, but walk away from any active utility or application. My thesis is that doing so was a missed opportunity. To be hyper-consistent, the equation set-up 1^1 = 1^0 indicates that there -must- be some valid states/conditions (not just 'interpretation') when 0 and 1 are 'equal' in some real meaning/use of the word "equal". If they can be substituted in the above equation, without changing a resultant of calculations (they are embedded in), then they must somewhere somehow in fact be identical in some way or condition. The entire ediface of physics is hamstrung because of this, because mathematical definitions and language compounded the error by applying - actually DIS-applying - a related concept .. the notion of 'extent' .. also known as 'dimension'. Physics and mathematics transform and wholly open up when we throw away the old concept of 'dimensionless' and instead reformulate -everything- as 'dimensional'. Including zero; including numbers unassociated with variables. As musch as you are brilliant and mathematically inventive, your statement "some plain falsity (like p & ~p, or 0 = 1)" shows you haven't quite awoken to everything yet. I hope I'm in the process of stirring you from your slumber. Jamie Rose --~--~---------~--~----~------------~-------~--~----~ You received this message because you are subscribed to the Google Groups "Everything List" group. To post to this group, send email to everything-list@googlegroups.com To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/everything-list -~----------~----~----~----~------~----~------~--~---