Matt, Yea, and Mezmer's dictionary is just flat out wrong about what Popper said. Popper did NOT say that. Simply reading what Popper did say would clear it...
John Edser writes: JE> ...The net result is that mathematics was and remains predicated on an expanded tautology with the form: P is P or if you like P is S, ...
Philip Lillies wrote:- ... JE:- My understanding is that "ewcabcxyz " negative statement is not a valid criticism of anything, i.e. it is just rhetoric,...
Matt Dioguardi wrote and quoted:- ... JE:- Mathematics remains logical but unreasonable. IOW mathematics cannot make non reversible inferences. ... JE:- These...
JE <<The ground breaking discovery by Gödel that mathematics remains inconsistent. >> It seems to me the proof you are likely thinking of is usually ...
I was clearly missing an important point in my notes yesterday. I want to clarify again, between 'rules of inference' and 'calculi of logic' and then again...
... MD: A formal system says nothing unless given an interpretation. It is just strings with rules on how to manipulate the strings. You seem really quick to...
Everyone: Is there an example of a formal system that is both consistent and of interest to scientists in the sense that the model is complete enough to enable...
Larry Tapper wrote:- ... (>ZFC) cannot have the resources to _prove_ their own consistency. JE:- A proposition is EITHER consistent of it is not. Please...
Matt Dioguardi wrote:- ... JE:- The required "interpretation" _has been provided_, and entirely on a falsifiable basis within the sciences, via the critical...
Hi Larry <<Third, the very concept of mathematics as a whole being self- consistent is pretty much meaningless, because consistency, insofar as it interests...
Comments interspersed. -Phil L. ... donor. ... regarded ... means is ... Perhaps "reciprocal altruism" is badly named, then, and should be called "reciprocal...
(This is a long post, partly because I'm appending Matt's previous post in its entirety to provide the context.) Matt D. has been discussing a symposium...
... It sounds like you are saying that if a scientists proposed some theory involving a level of mathematics that could not be reduced to predicate logic, the...
... Taking ZFC as an example, what purpose does ZFC serve? Two possible answers: 1. To provide a foundation for mathematics by showing it follows from logic. ...
I entered this group some time back with a view to working on incorporating critical rationalism into libertarian socialism. They seemed an obvious fit....
When a plaintiff alleges that he has been harmed by exposure to a toxic substance, a necessary condition to recovery from the defendant is that both general...
Gordon Sollars
gsollars@...
Feb 3, 2008 9:43 pm
12553
Matt Dioguardi wrote:- ... JE:- I was very specific. Any inference minimally requires TWO defined things which logically connect to each other , i.e. produce a...
Matt, Actually neither mathematicians nor logicians are losing any sleep over the possible inconsistency of ZFC --- this was one of the key points in response...
... insofar ... axiomatized ... them ... heard ... fundemental ... Hello Rob, Right, no real disagreement here. There's no question that many if not all...
... John, I am sorry I made this comment. I think I exceeded my role as moderator when I made it. If you feel the forum is useful for you, then please continue...
Hi Matt, Let me see if I've got this right. The Austrian economists reject Popper, which seems logical because as I see it they are justificationist (relying,...
_____ From: CriticalRationalism@yahoogroups.com [mailto:CriticalRationalism@yahoogroups.com] On Behalf Of Philip Lillies Sent: Saturday, February 02, 2008 4:21...
Aaron Agassi
agassi@...
Feb 4, 2008 8:41 pm
12560
"Matt Dioguardi" <dio@...> wrote:- ... JE:- IMO , what remains fundamental to both logic, language and nature are the many 100% logically based sequiteurs...
Philip Lillies wrote:- ... JE:- The above is a misunderstanding. The Capitalist system is imbued with levels of control entirely commensurate with risk: those...
... How do rich people get money in a free market? Answer: other people give it to them in return for goods and services. The rich people can then have some of...
... mathematics ... LT>First, Gödel did not discover that mathematics remains inconsistent. What his Second Incompleteness Theorem shows is that certain...
... One thing that might be a concern here is in allowing too many cases to get to court. It seems there needs to be some type of sorting system to at least...