### An abstract from the Goddard Space Colloquia some may want to seek out.

Presenter(s)

Chaitin, Gregory

Presentation Date

2002-02-01

Series

Scientific Colloquium: 2002

Call Number

2002-0201 (SCI)

Physical Format

Videocassette

Abstract

I'll discuss how Gödel's paradox "This statement is false/unprovable" yields his famous result on the limits of axiomatic reasoning. I'll contrast that with my work, which is based on the paradox of "The first uninteresting positive whole-number", which is itself a rather interesting number, since it is precisely the first uninteresting number. This leads to my first result on the limits of axiomatic reasoning, namely that most numbers are uninteresting or random, but we can never be sure, we can never prove it, in individual cases. And these ideas culminate in my discovery that some mathematical facts are true for no reason, they are true by accident, or at random. In other words, God not only plays dice in physics, but even in pure mathematics, in logic, in the world of pure reason. Sometimes mathematical truth is completely random and has no structure or pattern that we will ever be able to understand. It is NOT the case that simple clear questions have simple clear answers, not even in the world of pure ideas, and much less so in the messy real world of everyday life.

Chaitin, Gregory

Presentation Date

2002-02-01

Series

Scientific Colloquium: 2002

Call Number

2002-0201 (SCI)

Physical Format

Videocassette

Abstract

I'll discuss how Gödel's paradox "This statement is false/unprovable" yields his famous result on the limits of axiomatic reasoning. I'll contrast that with my work, which is based on the paradox of "The first uninteresting positive whole-number", which is itself a rather interesting number, since it is precisely the first uninteresting number. This leads to my first result on the limits of axiomatic reasoning, namely that most numbers are uninteresting or random, but we can never be sure, we can never prove it, in individual cases. And these ideas culminate in my discovery that some mathematical facts are true for no reason, they are true by accident, or at random. In other words, God not only plays dice in physics, but even in pure mathematics, in logic, in the world of pure reason. Sometimes mathematical truth is completely random and has no structure or pattern that we will ever be able to understand. It is NOT the case that simple clear questions have simple clear answers, not even in the world of pure ideas, and much less so in the messy real world of everyday life.

## 3 Comments:

Godel is among the major influences in shaping my personal perspectives, and relates to the logic of thought as based on incomplete knowledge. It makes divisions, discernment and critical assumptions regarding itself and the nature of consciousness . I think this is very pertinent issue regarding the experiential anomalies in UAP and beyond the experiences themselves and the resulting,seemingly endless list of "logical" theories regarding its nature being ultimately incoherent.

By Bruce Duensing, at Sunday, November 16, 2014

Our tangential colleague, Parakletos, continues to tout this book which is a must-read for any of the intelligentsia:

Gödel, Escher, Bach: An Eternal Golden Braid, also known as GEB, is a 1979 book by Douglas Hofstadter.

RR

By RRRGroup, at Sunday, November 16, 2014

David Bohm the late great physicist could have been referring to the stalemate of 'Ufology" when he observed..

"Of course, we must avoid postulating a new element for each new phenomenon. But an equally serious mistake is to admit into the theory only those elements which can now be observed. For the purpose of a theory is not only to correlate the results of observations that we already know how to make, but also to suggest the need for new kinds of observations and to predict their results. In fact, the better a theory is able to suggest the need for new kinds of observations and to predict their results correctly, the more confidence we have that this theory is likely to be good representation of the actual properties of matter and not simply an empirical system especially chosen in such a way as to correlate a group of already known facts."

By Bruce Duensing, at Sunday, November 16, 2014

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