# Category: Mathematics

## Is there a smallest unit of length?

October 4, 2015 | Posted by News under Intelligent Design, Mathematics, News |

Interesting discussion from NOVA: Zeno’s paradox is solved, but the question of whether there is a smallest unit of length hasn’t gone away. Today, some physicists think that the existence of an absolute minimum length could help avoid another kind of logical nonsense; the infinities that arise when physicists make attempts at a quantum version […]

## Neil deGrasse Tyson on the biggest mystery of the universe …

April 26, 2015 | Posted by News under Cosmology, Mathematics, News |

… that it is knowable and mathematically based. That was said better by Eugene Wigner. The miracle of the appropriateness of the language of mathematics for the formulation of the laws of physics is a wonderful gift which we neither understand nor deserve. – “The Unreasonable Effectiveness “The Unreasonable Effectiveness of Mathematics in the Natural […]

## At PBS: Puzzle of mathematics is more complex than we sometimes think

April 19, 2015 | Posted by News under Mathematics, News |

Astrophysicist Mario Livio shares some thoughts: Math: Discovered, Invented, or Both? The puzzle of the power of mathematics is in fact even more complex than the above examples from electromagnetism might suggest. There are actually two facets to the “unreasonable effectiveness,” one that I call active and another that I dub passive. The active facet […]

## Oxford math prof John Lennox on whether God is a delusion

March 16, 2015 | Posted by News under Intelligent Design, Mathematics, News |

When writing this story, there were two traps I started falling into: The first one is, act like there is something really great about the person who notices that the universe shows evidence of design. No, that’s just normal. The Darwinists and the Christian Darwinists, paid off by Templeton for example, are earning their keep […]

## Anyone here remember that “born under a lucky star” theme?

March 13, 2015 | Posted by News under Intelligent Design, Mathematics, News |

People got unseasonably lucky (Texas lottery div). Questions were raised here. Someone good with numbers tried studying it a couple years back. But now this: Abstract: Some people have all the luck. We look at the Florida Lottery records of winners of prizes worth $600 or more. Some individuals claimed large numbers of prizes. Were they lucky, or up […]

## On skepticism about skeptics: Oxford mathematician John Lennox weighs in

February 25, 2015 | Posted by News under Intelligent Design, Mathematics, Naturalism, News |

Is Shermer’s sell-by date long past, like Dawkins’? It does have that feel.

## Multiverse cosmologist says the concept of infinity is ruining physics

February 22, 2015 | Posted by News under Intelligent Design, Mathematics, Multiverse, News |

Sheldon: A much better title for the blog would be “Materialism is a beautiful concept – and its ruining physics.”

## Golden ratio in guitar solos?

December 2, 2014 | Posted by News under Intelligent Design, Mathematics, News |

Golden section and golden rectangles, the harmonic series and the model of its ideal behavior simplified.

## Does the golden ratio, 1.618, unify science?

November 29, 2014 | Posted by News under Mathematics, Multiverse, News |

Maybe they are wrong but it is not looney. You can actually measure this stuff. Take that, multiverse, and get out of here!

## Mathematician John Lennox asks, Is information evidence of something beyond nature?

November 26, 2014 | Posted by News under Intelligent Design, Mathematics, News |

John Lennox argues that there is evidence of transcendence beyond nature.

## Challenges to Darwin’s maths

November 24, 2014 | Posted by News under Intelligent Design, Mathematics, News |

The computational capacity of the universe suggests an upper bound to the number of transformational steps available for any theory of origins.

## Don’t black holes exist? But then what will popular culture do?

September 27, 2014 | Posted by News under Astronomy, Big Bang, Intelligent Design, Mathematics, News |

Pop culture rants, raves, and peeves have somehow found their expression today as “science.” This stuff doesn’t change; it just acquires science labels.

## Mathematicians’ role in flawed security cryptography

July 23, 2014 | Posted by News under Intelligent Design, Mathematics, News |

Using their expertise to subvert the group tasked with producing high quality cryptography?

## No past infinity? But what about a minus past infinity?

April 23, 2014 | Posted by News under Cosmology, Mathematics, News |

Kirk Durston: It is impossible to count through the entire set of negative integers, from minus infinity to zero, one integer at a time.

## Skeptical mathematician on the decade’s biggest change in physics

April 13, 2014 | Posted by News under Mathematics, Multiverse, News |

Peter Woit: As we learn more about the Higgs the lesson seems to be that this sector of the Standard Model behaves in the simplest way possible.

## Mathematics challenges naturalism, says math prof

April 9, 2014 | Posted by News under Intelligent Design, Mathematics, Naturalism, News |

James Franklin: Artificial intelligence system that imitates genuine mathematical insight? No promising plans on the drawing board.

## Euler’s formula and intelligent design

March 19, 2014 | Posted by niwrad under Intelligent Design, Mathematics |

As known, complex numbers are numbers of the form: z = x + i y where x is the real part, y is the imaginary part and “i” is the square root of -1. Complex numbers have many applications in science, where it is necessary, in the same time, to collect together and discriminate two […]

## Science, Worldviews & Society, 1: An argument from necessary (thus, eternal) truth to the reality of God as eternally contemplative . . . and, designing . . . Mind

March 1, 2014 | Posted by kairosfocus under Logic and First Principles of right reason, Mathematics, Philosophy, Science, worldview issues/foundations and society |

This past month has been quite busy, and I have had but little time to respond to some questions on foundations of reality and modern theistic arguments from a budding young philosopher. (BTW, his 3 month post op check up has been positive I take occasion to publicly thank St. Georges Hospital, London and others.) […]

## Creationist RA Herrmann’s ID theory — the last magic on steroids!

January 29, 2014 | Posted by scordova under Comp. Sci. / Eng., Intelligent Design, Mathematics, Privileged planet |

First, an excerpt from Dr. Herrmann’s personal history: I was associated with the occult from birth, but in 1946 when I was 12 years old, I suddenly became extremely interested in occult manifestations and simultaneously became, what is sometimes called, a “mental giant” – indeed, a child scientist. I delved into any aspect of the […]

He continued his research into general topology and discovered the pre-convergence spaces. Once again he established much of the presently known mapping theory for pre-convergence spaces and showed that many of the convergence structures of interest to the mathematical community are but trivial examples of his pre-convergence spaces.]

Not content with applying nonstandard methods to topological questions, Dr. Herrmann turned his attention to algebraic structures. These structures are a major aspect of pure axiomatic mathematics.

[A brief technical description. He established many of the known properties for nonstandard implication algebras, lattices, Boolean algebras and the like.]

A major aspect of the subject termed standard mathematical logic is the modeling of deductive processes. Many of these mimic the results of human thought processes. The methods and structures employed to study such aspects of human thought can vary. Dr. Herrmann has produced many new results in this area. This is especially so in his application of nonstandard analysis to this subject.

[A brief technical description. Dr. Herrmann’s research activities are on the lattice of finitary (finite) consequence operators. For example, he showed that this class of logical operators is almost atomic and that the set of all finitary consequence operators define on a fixed language is a join-complete lattice. Recently, he has shown that general logic-systems and finitary consequence operators are equivalent notions. He also instituted the new area of nonstandard logic relative to the nonstandard modeling of these classes of consequence operators.]

b. Applied Mathematics and Some Theoretical Physics

In 1981, Dr. Herrmann turned his attention to applied modeling. He rigorously described the methods of infinitesimal reasoning and modeling and then solved the d’Alembert-Euler problem in differential equation derivation. Previously, in about 1979, he had discovered new methods in physical modeling and began in 1982 to apply these methods to various unsolved problems in the philosophy of science, quantum theory, and cosmology as well as other areas. He found a solution to the discreteness problem in quantum theory in 1983.

c. The Theory of Everything and General Information Theory

In 1978, Dr. Herrmann discovered mathematical methods to model discipline language theories that are not necessarily describable by means of numerical quantities. He has applied these methods to various scientific disciplines. In particular, in 1979, he began constructing a mathematical model that generates a cosmogony. A cosmogony is a theory for the origin and construction of universes, not just the one in which we dwell. This cosmology is called the General Grand Unification Model – the GGU-model.

[A brief technical description. Using ultralogical operators this cosmogony generates the descriptive content for various cosmologies while preserving their inner-logical processes. This is the first mathematically generated cosmogony.

Although not originally constructed in this manner, it has recently been noticed that there is a set of concrete observable facts that when mathematical modeled predict the GGU-model process. These facts are verified physical statements that describe aspects of finite human physical behavior that are characterized by mental activity. When used as hypotheses and mathematically modeled, these facts predict that the formation and behavior of each real physical-system is controlled and sustained by a specific set of significant general ultralogical processes. Mathematically, general ultralogical processes are objects that satisfy the standard or nonstandard characteristics for logical deduction and other aspects of rational finite or hyper-finite mental activity, respectively. The theory is testable and (Popper) falsifiable. The GGU-model is verified by a vast amount of direct and indirect evidence.

This cosmogony and associated portions of the NSP-world model are consistent with such theory logic as deductive quantum logic, finitary logic, classical logic and the like. The GGU-model satisfies the Wheeler requirements for a pre-geometry and the very restricted conditions required by many groups of scientists who specialize in cosmogony studies. Moreover, the modeling procedures automatically generate the theory of propertons (subparticles) and properton (subparticle) mechanisms that satisfy the Wheeler requirements for the “substance” of which space itself is composed. It also satisfies the participator requirements in that active life-forms alter physical-system behavior.]

The GGU-model solves the General Grand Unification Problem. This yields the first true Theory of Everything associated with our universe. Dr. Herrmann has shown how to use various processes to unify all physical-system behavior. Of considerable significance is Dr. Herrmann’s explicit method that yields the best possible unification for any collection of physical theories. [This result is an application of Dr. Herrmann’s pure algebraic characteristics for the lattice of finitary consequence operators.]

In information theory, Dr. Herrmann has shown that the empirical theory of Gitt information can be obtained from first principles by application of the theory of general consequence operators. He has shown, using Gitt information, that the complexity of a physical-system can be altered only if the necessary consequence operators satisfy a unique and unusual symmetric property. General information theory has other applications.

d. General Intelligent Design (This is not the Discovery Institute’s restricted ID theory.)

Relative to specific information, in 1979, Dr. Herrmann showed how to interpret scientifically a specific theory in a dual manner and, with this approach, originated the scientific analysis of physical-system intelligent design. That is, that all of the physical processes that have formed our universe and control all aspects of physical-system behavior, as well as the results of such processes, can be interpreted as designed by intelligent agency. In particular, Dr. Herrmann has shown how to interpret the GGU-model in the language of intelligent design using the notion of specific information and operator signatures. This interpretation yields the General Intelligent Design Theory (GID) or simply General Design Theory. This interpretation shows that it is rational to assume that all physical-system behavior as investigated by science-communities is designed or controlled by intelligent agency. Since all physical-system formation and behavior is either direct or indirect evidence for the existence of specific intelligent agents, this is the first general solution to the problem of intelligent design. Since GID is but an interpretation for the signatures presented by the GGU-model operators, it is a matter of choice whether one considers these signatures as significant. Indeed, as with various cosmologies, the additional intelligent agency characteristics can be considered as extraneous in character.

e. The Special and General Theories of Relativity

The Einstein-Hilbert General Theory of relativity and the Einstein Special Theory of relativity have been controversial from the moment that they appeared in published form. In the past, the basic reasons for these controversies have been philosophic in character rather than scientific. However, scientists such as V. Fock pointed out that the General Theory contains an error relative to how physical postulates are associated with the particular mathematical structure employed. This particular error does not detract from most of the results obtained or the verified predictions these theories make. Moreover, many scientists have shown that both of these theories seem to contain various logical inconsistencies and, due to these difficulties, have created alternate theories based upon different foundations – theories that also predict many, but usually not all, of the same results as predicted by the General and Special theories.

Both of these classical theories are based upon the properties of the mathematical object known as the infinitesimal. But no such consistent mathematical theory for infinitesimals that captures all of the necessary intuitive notions existed at the time these theories were created. Such a mathematically consistent theory was discovered in 1961 by Abraham Robinson. One of the basic reasons that mathematics is used within such theories is to maintain rigorous logical argument. This Robinson discovery now allows for a reconsideration of these theories using a rigorous mathematical theory. Due to the existence of this rigorous mathematical theory, its relation to scientific logic, certain properties relative to abstract model theory, and the now obtainable formal rules for physical modeling, this mathematical theory can be applied rigorously to these physical theories. When this is done, it becomes apparent that from a rigorous viewpoint, Einstein, Hilbert and many others have made a basic physical modeling error. This error is called the model theoretic error of generalization. This error was pointed out for another purpose in the philosophy of science of Mill, and can be explicitly demonstrated.

In 1990, Dr. Herrmann pointed out this error to the scientific community and began to re-construct both of these theories using Robinson’s theory of the infinitesimal and infinite numbers in the hopes of avoiding this modeling error. Using his separation of operators approach, Dr. Herrmann has, indeed, created a theory that stays within the required language for the foundations for these two theories and this new approach predicts all of the same results as the General and Special theories and eliminates all of the known logical difficulties and paradoxes.

This new infinitesimal approach shows that, from the viewpoint of indirect evidence, a special type of “ether’ or “substratum” may exist. Further, each of the relativistic alterations in physical behavior associated with these theories is but an interaction with this substratum. This interaction is produced by his basic assumption that within the substratum photons satisfy the ballistic property relative to a moving source. That is, they acquire the speed of the source relative to the substratum, while in the standard physical world they exhibit their wave property. He restricts all fundamental time measurements to light-clocks and then shows that this leads to alterations in other physical behavior, the same alterations predicted by the original theories.

Of course, Dr. Herrmann is aware that his logically rigorous theory might be difficult for members of the physics community to understand since they have put forth considerable effort in the past, and continue do so at this present time, through dedicated research activities using the original classical approach. For this reason alone, many scientists will continue to defend this classical approach. Please note that Dr. Herrmann’s work, in this area, is not intended to denigrate those scientists who have, in the past, contributed to these theories or who continue to do so. Dr. Herrmann’s results are only relative to the foundations for the General and Special theories.

f. Future Efforts

Dr. Herrmann believes that his most important contributions to physical science are the methods and results that he discovered for generating mathematical models for philosophical concepts and cosmologies since these discoveries have helped explain and solve certain perplexing and long standing problems. When these methods become more widely known, they may revolutionize modeling techniques for the physical sciences. Due to the apparent significance of such models as the GGU-model and nonstandard logic he intends to concentrate his efforts in the area of their application to scientific and philosophic problems. In particular, he intends to popularize the GGU-model, its various interpretations and their mathematical foundations.

4. Awards and Biographical Listings:

(1) AMWS Achievement Award in Physical Science.

(2) “American Men & Women of Science,” (Bowker publication.)

(3) “Who’s Who in Theology and Science,” (Center for Theological Inquiry, A Templeton Foundation publication,) and many other such biographical listings.

(4) Templeton Prize Nominee. (Dr. Herrmann rejects the philosophic stances taken by the Templeton Foundation.)

(5) DoN Meritorious Service Award