To counter this, instead of an abstract “9”, try thinking in terms of a graphic representation of the concept, such as “ l l l l l l l l l” - (all concepts can and should be depicted graphically). Now it’s easier to see that while a concept may appear patterned intrinsically, its REFERENTS are not. “Nine” or “seven” real poplar trees will come in diverse, unpatterned forms, like those of Monet, not in identically patterned lines like those of maths. Ditto nine or seven rocks, snakes, apples etc. -----------------------------------------------------------------
9 repeated typographical characters (like "l l l l l l l l l" is the most primitive form of patterns and the referent of the cardinal number does -of course- refer to the pattern). However, it is so useful to think of something that is a type that can be drawn from a pattern (like any typographical character) that we may start thinking of collections of patterns as patterns. Name everything that is repeated in this collection: l l l l l e e e e e g g g g g h h h h h a a a a a Not only is "l", "e", "g", "h" and "a" repeated 5 times but there are also 5 groups of the 5 typographical characters. Problems like this are useful to help people who are capable of dealing with unconventional insights to do so. Being able to work with ideas like this is a sign of intelligence and child-level maturity. So the dull conventionalist (who is aware of one of the narrowest definition of the idea of pattern) might only see 5 separate patterns but the more intelligent person will be able to deal with the less conventional insight that there are also 5 different examples. If you can see that different typographical characters might be taken as being -of a type- then you should be able to understand what we are talking about. Being able to understand stuff like this is very important in computer programming since you may want to treat a type as a pure variable representation. If you can't accept that then you are not talking about the same thing the rest of us are talking about. Jim Bromer On Fri, Aug 24, 2012 at 4:23 PM, Mike Tintner <[email protected]>wrote: > Look at the elements referred to by the concepts I listed – they are > *not* “common elements”. They can all be “diverse*/uncommon elements. > > Here, for example, are “7” poplars: > > > http://www.ibiblio.org/wm/paint/auth/monet/poplars-epte/monet.poplars-epte.jpg > > They do not classify as common elements. Each poplar is a different and > individual form. They do not form a pattern. > > Concepts create the “illusion” of referring to common elements/objects > (and therefore patterns) because of their apparent, *intrinsic* form - the > way they are spelled or numbered. > > C-H-A-I-R is always spelled the same way therefore surely there must be > an essential chair or chair pattern as Plato thought. > > “9” is always spelled/numbered the same way, therefore surely there must > be an essential number or pattern. > > (In fact, even that is an untrue illusion because all concepts can be > spelled and/or numbered with many diverse fonts!). > > To counter this, instead of an abstract “9”, try thinking in terms of a > graphic representation of the concept, such as “ l l l l l l l l l” - > (all concepts can and should be depicted graphically). > > Now it’s easier to see that while a concept may appear patterned > intrinsically, its REFERENTS are not. “Nine” or “seven” real poplar > trees will come in diverse, unpatterned forms, like those of Monet, not in > identically patterned lines like those of maths. Ditto nine or seven rocks, > snakes, apples etc. > > The real world referents of concepts and numbers don’t come in neatly > patterned forms let alone patterned groups. > > And each concept can refer to “all kinds of things” - all kinds of > poplars/trees, all kinds of chairs, rocks, streams, clouds etc. – which can > come in “all shapes, sizes and forms” not in uniform patterns.. > > Ben and Boris and you probably, don’t realise that concepts don’t refer > to a patterned real world, because you all live and breathe this artificial > logicomathematical world of perfectly patterned numbers and letters cut off > from the real world - at a metacognitive level, you never really apply > your concepts to the real world > > > > *From:* Aaron Hosford <[email protected]> > *Sent:* Friday, August 24, 2012 8:02 PM > *To:* AGI <[email protected]> > *Subject:* Re: [agi] Pattern: definition & incremental syntax.. P.S. > > "9" *is* the pattern. The rest of the details are parameters to that > pattern. I don't know if you program or not, but if you do, "9" would be a > class, and all the examples would be instances. You state the name of a > pattern, and then look at the context surrounding it and ask where it is. > You're subtracting out what you're looking for before you look for it, so > it's no wonder you can't see it. > > > On Fri, Aug 24, 2012 at 1:55 PM, Mike Tintner <[email protected]>wrote: > >> Those are really conceptual complexes. >> >> But it doesn't matter. >> >> Let's start with the obvious, "simple" concept of "9" . >> >> Which can refer to nine *abstract entities*, *trees*, *snakes*, *boxes* >> - >> >> or a "broken nine", or a "an inflated nine" or *nine diverse objects* >> or *a mixed-up nine* >> >> or * ......... * or " ^ /. h k < X ,@ " >> >> or >> >> Where's the pattern? >> >> [The same reasoning/examples applies to all the equations taken as >> wholes]. >> >> All the equations you cite, like the whole of maths and logic, are >> patterned, specific *applications*/examples of given concepts. >> >> But maths does not and cannot use concepts wholly/ properly with their >> open-ended realms of reference. >> >> Concepts like "Line" and "number" in ordinary language can embrace >> infinite examples, which are non-mathematical and which mathematics >> wouldn't go near. >> >> >> >> -----Original Message----- From: Matt Mahoney >> Sent: Friday, August 24, 2012 7:29 PM >> To: AGI >> Subject: Re: [agi] Pattern: definition & incremental syntax.. P.S. >> >> >> On Fri, Aug 24, 2012 at 2:19 PM, Mike Tintner <[email protected]> >> wrote: >> >>> show one single concept in the whole of *MATHEMATICS* or *LOGIC* that is >>> patterned. >>> >> >> 9 x 9 + 7 = 88 >> 98 x 9 + 6 = 888 >> 987 x 9 + 5 = 8888 >> 9876 x 9 + 4 = 88888 >> 98765 x 9 + 3 = 888888 >> 987654 x 9 + 2 = 8888888 >> 9876543 x 9 + 1 = 88888888 >> >> >> -- Matt Mahoney, [email protected] >> >> >> ------------------------------**------------- >> AGI >> Archives: >> https://www.listbox.com/**member/archive/303/=now<https://www.listbox.com/member/archive/303/=now> >> RSS Feed: https://www.listbox.com/**member/archive/rss/303/** >> 6952829-59a2eca5<https://www.listbox.com/member/archive/rss/303/6952829-59a2eca5> >> Modify Your Subscription: >> https://www.listbox.com/**member/?&;<https://www.listbox.com/member/?&;> >> >> Powered by Listbox: http://www.listbox.com >> >> >> ------------------------------**------------- >> AGI >> Archives: >> https://www.listbox.com/**member/archive/303/=now<https://www.listbox.com/member/archive/303/=now> >> RSS Feed: https://www.listbox.com/**member/archive/rss/303/** >> 23050605-bcb45fb4<https://www.listbox.com/member/archive/rss/303/23050605-bcb45fb4> >> Modify Your Subscription: https://www.listbox.com/**member/?&id_** >> secret=23050605-07077db3 <https://www.listbox.com/member/?&;> >> Powered by Listbox: http://www.listbox.com >> > > *AGI* | Archives <https://www.listbox.com/member/archive/303/=now> > <https://www.listbox.com/member/archive/rss/303/6952829-59a2eca5> | > Modify<https://www.listbox.com/member/?&;>Your Subscription > <http://www.listbox.com> > *AGI* | Archives <https://www.listbox.com/member/archive/303/=now> > <https://www.listbox.com/member/archive/rss/303/10561250-164650b2> | > Modify<https://www.listbox.com/member/?&;>Your Subscription > <http://www.listbox.com> > ------------------------------------------- AGI Archives: https://www.listbox.com/member/archive/303/=now RSS Feed: https://www.listbox.com/member/archive/rss/303/21088071-c97d2393 Modify Your Subscription: https://www.listbox.com/member/?member_id=21088071&id_secret=21088071-2484a968 Powered by Listbox: http://www.listbox.com
