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## Re: [ontolog-forum] Inconsistent Theories

 To: "'[ontolog-forum] '" "Rich Cooper" Mon, 8 Feb 2010 22:56:05 -0800 <20100209065608.9E11A138D22@xxxxxxxxxxxxxxxxx>
 ```Chris,    (01) Actually, it's more complicated than that. Value is simply one property of a Thing in a universe. Identity wrt a Definition property is a complete different issue. You are confusing a logical specification of value with a logical instance of a value.    (02) For example, in the equation    (03) F(x) = x^3+27*x^2    (04) The left hand side is 'equal' to the right hand side, and evaluation of both sides leads to the same results.    (05) But if I want to represent the symbolic function F(x), for example, as a Lisp structure of operators and operands that can be used in evaluation of F(x), or that can be manipulated algebraically to create new expressions, it might be better to state it this way (forget the messy Lisp notation):    (06) Define( F(x), (x^3+27*x^2) )    (07) Which states that the identify of the symbol F(x) is defined to be equal to the evaluable structure (x^3+27*x^2) which can be used to calculate the value of F(x) bound to any x.    (08) Those are two different views of '=' - by value and by defined structure (expression or object, perhaps). The interpretation can be calculated to get the value, but the interpretation is distinct from the value it gets at any given time.    (09) HTH, -Rich    (010) Sincerely, Rich Cooper EnglishLogicKernel.com Rich AT EnglishLogicKernel DOT com    (011) -----Original Message----- From: ontolog-forum-bounces@xxxxxxxxxxxxxxxx [mailto:ontolog-forum-bounces@xxxxxxxxxxxxxxxx] On Behalf Of Christopher Menzel Sent: Monday, February 08, 2010 9:36 PM To: [ontolog-forum] Subject: Re: [ontolog-forum] Inconsistent Theories    (012) On Feb 8, 2010, at 10:59 PM, Rich Cooper wrote: > John and Chris, please let me butt in with a clarifying question; are you > using "=" in a definitional or in a comparative way?    (013) Rich, it is being used as it is always used in first-order logic with identity to mean identity, the relation that holds between, and only between, any arbitrary thing and itself; consult any standard text on the subject. Your questions concern issues in the semantics of procedural programming languages that, for the most part, really have nothing at all to do with identity in FOL.    (014) -chris    (015) > For example, the function below compares two values, which happen to be > named A and B respectively in order of introduction. > > -------------- -------------- -------------- > function FEqual(A,B): ('<','=','>'); > begin > Result := (A=B); > end; > > var A, B : Integer := 72; > > begin > ShowMessage('A=B returns : '+FEqual(A,B)); > end > -------------- -------------- -------------- > > But A and B have VALUE properties which are compared in FEqual above, not > their NAME properties; 'A' is a name, so is 'B', and 'A' is greater than 'B' > in alphabetical name order, but definitely NOT EQUAL to 'B' in any ordering > not involving substitutions of symbols into variables (unification). > > But of course, by definition (the definitional way mentioned way earlier > above, in .. 'definitional or comparative'; QED), 'A' is EQUAL to 'A' in > most universes. > > So maintaining multiple orderings on sets, which is extremely useful for > efficiently solving problems while minimizing time penalties, is useful both > in tracking the elements (ThingS as I call them, atoms for chemists, people > for politicians, grains as physicists say, chunks as .. ) and in tracking > the sets themselves as they dynamically reflect the dynamic reorderings > among the (gasp) terminals in the universe of discourse. > > HTH, > -Rich > > Sincerely, > Rich Cooper > EnglishLogicKernel.com > Rich AT EnglishLogicKernel DOT com    (016) _________________________________________________________________ Message Archives: http://ontolog.cim3.net/forum/ontolog-forum/ Config Subscr: http://ontolog.cim3.net/mailman/listinfo/ontolog-forum/ Unsubscribe: mailto:ontolog-forum-leave@xxxxxxxxxxxxxxxx Shared Files: http://ontolog.cim3.net/file/ Community Wiki: http://ontolog.cim3.net/wiki/ To join: http://ontolog.cim3.net/cgi-bin/wiki.pl?WikiHomePage#nid1J To Post: mailto:ontolog-forum@xxxxxxxxxxxxxxxx    (017) _________________________________________________________________ Message Archives: http://ontolog.cim3.net/forum/ontolog-forum/ Config Subscr: http://ontolog.cim3.net/mailman/listinfo/ontolog-forum/ Unsubscribe: mailto:ontolog-forum-leave@xxxxxxxxxxxxxxxx Shared Files: http://ontolog.cim3.net/file/ Community Wiki: http://ontolog.cim3.net/wiki/ To join: http://ontolog.cim3.net/cgi-bin/wiki.pl?WikiHomePage#nid1J To Post: mailto:ontolog-forum@xxxxxxxxxxxxxxxx    (018) ```
 Current Thread Re: [ontolog-forum] Inconsistent Theories, (continued) Re: [ontolog-forum] Inconsistent Theories, Rich Cooper Re: [ontolog-forum] Inconsistent Theories, Christopher Menzel Re: [ontolog-forum] Inconsistent Theories, John F. Sowa Re: [ontolog-forum] Inconsistent Theories, Christopher Menzel Re: [ontolog-forum] Inconsistent Theories, John F. Sowa Re: [ontolog-forum] Inconsistent Theories, Christopher Menzel Re: [ontolog-forum] Inconsistent Theories, John F. Sowa Re: [ontolog-forum] Inconsistent Theories, Christopher Menzel Re: [ontolog-forum] Inconsistent Theories, Rich Cooper Re: [ontolog-forum] Inconsistent Theories, Christopher Menzel Re: [ontolog-forum] Inconsistent Theories, Rich Cooper <= Re: [ontolog-forum] Inconsistent Theories, Christopher Menzel Re: [ontolog-forum] Inconsistent Theories, Rich Cooper Re: [ontolog-forum] Inconsistent Theories, Christopher Menzel Re: [ontolog-forum] Inconsistent Theories, Rich Cooper Re: [ontolog-forum] Inconsistent Theories, Ian Bailey Re: [ontolog-forum] Inconsistent Theories, John F. Sowa Re: [ontolog-forum] Inconsistent Theories, Rob Freeman Re: [ontolog-forum] Inconsistent Theories, Patrick Cassidy Re: [ontolog-forum] Inconsistent Theories, Rob Freeman Re: [ontolog-forum] Inconsistent Theories, Patrick Cassidy