Category Archives: Online Articles

From Kurt Godel to God via Modal Logic

My recent Decoded Science article, “How Modal Logic Proved Godel was Right, and God Exists“, explains the basics behind a brief but bold claim by 20th century mathematician Kurt Gödel.

"Kurt Godel" via Arithmeum Museum in Bonn
“Kurt Godel” via Arithmeum Museum in Bonn

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Introducing Gödel’s “God Theorem”

Gödel’s “God Theorem” garnered news internationally in the past month because German researchers succeeded in running a variety of computer programs that verified the “modal logic” which the theorem used.

My article summarizes the logic of Gödel’s God Theorem, and then puts the focus on modal logic. (The very quick synopsis: modal logic deals with “possibility” and “necessity” on top of more common logical terms such as “true/false”, “for all”, “if-then”, and “there exists”).

Gödel is most famous for his “Incompleteness Theorem”, which states that sufficiently powerful mathematics can not possibly be “complete”. (Such a powerful mathematics cannot generate every statement which is true within its own framework).

Earlier, Gödel had proven a “Completeness Theorem”: sufficiently simple math can generate all true statements within its framework. (For example: if you start with the number ‘1’, and only allow addition, and allow {1+1=2, (1+2=3, 2+1=3), (1+3=4, 2+2=4, 3+1=4),…}, then eventually you will generate any “n+m=[n+m]”. Simple, yes? Almost too simple).

For this DeHaan Services article, I tried to find a Canadian connection for Gödel. The closest relationships that I found were essays written at Canadian universities, such as the PDF “Kurt Gödel and Computability Theory” from the University of Calgary.

In another promotional article, my “The Proof of God: a New Niche for Kurt Godel” includes a niche writing tip.

Learn More about Kurt Gödel and his Incompleteness Theorem

Learn more about the man behind the Incompleteness Theorem, in the Canadian or American version of “Incompleteness: The Proof and Paradox of Kurt Gödel” via Amazon Kindle.
Hofstadter’s “Godel, Escher, Bach: An Eternal Golden Braid” is a fun and easy-to-read explanation of the Incompleteness Theorem. Amazon sells the paperback to Canadians and Americans.

Professional Writing by DeHaan Services

DeHaan Services writes web site or advertising copy for clients. Our skills are demonstrated in online articles in Decoded Science, Decoded Pregnancy and DeHaan Fitness. That’s why we highlight these online articles on this blog page.

Thank you for reading about Kurt Gödel’s proof that God exists.

Can Turing’s Halting Problem Address Free Will vs Determinism?

My recent Decoded Science article, “Free Will, Determinism and Turing’s Halting Problem” helps explain Prof. Seth Lloyd’s insights into these issues.

A Quick Look at the Halting Problem and “Free Will vs Determinism”

"Free Will" by Marbleshoes
"Free Will" by Marbleshoes

Some scientists would argue that our brains are “simply” complex machines that make deterministic decisions, based on the physics and chemistry inside our skulls.

Yet we all have the feeling of enjoying free will, the ability to make decisions and also to change our minds of our own volition.

On the other hand, some people may sometimes appear to be trapped by fixed patterns of behaviour. Perhaps they do not have free will, if their decisions can always be predicted?

MIT prof. Seth Lloyd argues that deterministic decisions, whether made by computers or people, could still defy prediction and appear to be examples of free will.
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Read my article to see how Prof. Lloyd applies Alan Turing’s Halting Problem to resolves this conundrum.

Learn more about Alan Turing’s real-world heroics in “Alan Turing: The Enigma” (Amazon’s Canadian paperback or Kindle in the USA pages).

Writers and editors should read my “free-will” writing tip in my other self-promotional article, “Halting the Free Will versus Determinism Debate“.

Professional Writing by DeHaan Services

DeHaan Services writes web site or advertising copy for clients. Our skills are demonstrated in online articles in Decoded Science, Decoded Pregnancy, and my Fitness and Weight Control blog. That’s why DeHaan Services highlights these online articles on this site.

Thank you for reading about the Halting Problem approach to “free will vs determinism”.

Did Anyone Measure Science Comprehension in Canadian Politics?

Today Decoded Science published my “Interpreting One Report of Statistics on Science Comprehension“. A Yale professor had informally published a study that compared Tea Party supporters, conservative Republicans, and others in their test scores for science comprehension. My task was to explain what the professor’s statistics meant.

"Four R-Value Slopes" : Image by Mike DeHaan
“Four R-Value Slopes” : Image by Mike DeHaan

Has Anyone Studied Canadian Politicians for their Science Comprehension?

As a Canadian, simply researching that article made me wonder.

Has anyone tested our Canadian politicians for their skills, or attitudes, towards science?

My quick review of four federal party web sites revealed the following:

  • The governing Conservative party, which often has branded itself the “Harper government”, has no “search” function except to find members of parliament (MPs). I went through a few pages of news items, and did not find the word “science”.
  • Her Majesty’s Loyal Opposition, the New Democratic Party of Canada (NDP), put “science” in a news article from Sept. 2013. “NDP forces parliamentary committee to discuss challenges facing wireless telecom” simply names the title of one ministry, but at least they mention the word “science”. The NDP also lacks a “search” function.
  • The Liberal Party does provide a “search” function. Of several articles that used the word “science”, I noticed MP Marc Garneau’s 2011 post, “Where does science fit in with this government’s policy-making?“. Although Mr. Garneau may not be a rocket scientist, he is a retired astronaut, which counts as “pretty close” in my books.
  • Finally, the Green Party also supports “search”. Of several articles, may I note “Victoria: Rally for Science!” from 2012.

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Let me admit that I have not pursued Canadian academic journals for statistical studies on our politicians’ views towards science, nor their comprehension of scientific principles.

Could you e-mail me a relevant link? I’d be more than happy to update this post, thank you, and share that link with our readers.

Professional Writing by DeHaan Services

DeHaan Services writes content or advertising copy for clients. Our skills are demonstrated in online articles in DeHaan Fitness, Decoded Science, Decoded Pregnancy, and other online sites. I also include writing tips in my Blog of Writing, where I also publicize my articles.  That’s why we highlight these online articles on this blog page.

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Disclaimer: The information contained in this article is for educational purposes only and should not be used to change your political affiliation or party preference in any upcoming election.

Thank you for reading about science comprehension among politicians.