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RECENT POSTS IN THIS TOPIC

James Hoover: on 4/22/15 at 23:04pm UTC, wrote Joselle, Shark time, so I am revisiting essays I’ve read to assure...

James Hoover: on 4/9/15 at 5:27am UTC, wrote Joselle, Looking at your bio, I wonder about your view of math in biology....

Joe Fisher: on 4/8/15 at 15:50pm UTC, wrote Dear Dinunzio, I think Newton was wrong about abstract gravity; Einstein...

Vladimir Rogozhin: on 3/28/15 at 12:41pm UTC, wrote Dear Joselle DiNunzio Kehoe, Very interesting essay and ideas that are...

Joselle Kehoe: on 3/17/15 at 16:46pm UTC, wrote Thanks for responding with this. I can only say that I've thought for a...

Joselle Kehoe: on 3/17/15 at 16:41pm UTC, wrote Thank you very much for your comment. I apologize for not responding...

Joe Fisher: on 3/17/15 at 15:57pm UTC, wrote Dear Ms. Dinunzio, You wrote: “As I see it, this universe, defined by...

Joselle Kehoe: on 3/12/15 at 3:08am UTC, wrote Enactivism is probably the right word, but I'm not meaning to say that we...


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FQXi FORUM
October 21, 2019

CATEGORY: Trick or Truth Essay Contest (2015) [back]
TOPIC: Mathematics, from the inside out by Joselle DiNunzio Kehoe [refresh]
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Author Joselle Kehoe wrote on Mar. 10, 2015 @ 15:39 GMT
Essay Abstract

This discussion of the powerful and mysterious connection between physics and mathematics begins with a look at the relationship between mathematics and cognition itself. Mathematics' deep, biological source associates it with a searching, instinctual will. To build this perspective, the paper surveys observations in cognitive science, physics, and mathematics, developing the idea that mathematics both characterizes what we see and how we see it. In this light mathematics can be viewed as a manifestation of the structural coupling of an organism with its environment, providing, perhaps, new insight into both.

Author Bio

Joselle DiNunzio Kehoe is a writer and Lecturer of Mathematics at the University of Texas at Dallas. She earned a Master of Science degree in mathematics from NYU’s Courant Institute of Mathematical Sciences and has been teaching mathematics at the university level for more than 25 years. She has been published in the journal Isotope, +Plus Magazine, and has provided guest blogs for Scientific American. She is currently most involved in a book project that considers a biological view of mathematics. It is this pursuit that also guides her choice of subject matter in her blogs at mathrising.com.

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James Lee Hoover wrote on Mar. 11, 2015 @ 05:38 GMT
Joselle,

Are we speaking of a mathematical enactivism, where we, through interaction, selectively create our environment and manifest it through math? That defines the relationship of math to physics?

My view in "Connections..." seems more mundane.

Jim

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Author Joselle Kehoe replied on Mar. 12, 2015 @ 03:08 GMT
Enactivism is probably the right word, but I'm not meaning to say that we "selectively create our environment and manifest it through math." What I mean to say is more that mathematics, even its most abstract sense, is an action, an enhancement of the senses. And this enhancement is possible because we have somehow managed to willfully direct formalizations that may be reflecting unconscious cognitive mechanisms.

Thanks for the question. I like trying to answer them.

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James Lee Hoover replied on Apr. 9, 2015 @ 05:27 GMT
Joselle,

Looking at your bio, I wonder about your view of math in biology. My essay speaks of physic's role via quantum physics in quantum biology as well as in DNA and the LHC.

Jim

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Edwin Eugene Klingman wrote on Mar. 11, 2015 @ 22:11 GMT
Dear Joselle DiNunzio Kehoe,

We begin with essentially the same observation, that mathematical representation, in the form of "vectors" based on numerical "magnitude" is natural to mammals and insects, and "counting" goes on even below this level (think telomeres) as logical operations (NOT and AND) exist at the RNA-DNA-protein levels and below. This is evidence for the belief that logical structure is embodied in physical reality, supporting counting (hence integers) and, per Kronecker, "all the rest" of math.

I show in my essay how numbers can be statistically massaged in a way to produce "feature vectors", and, as you state in your essay,

"Statistics is not only intuitive, but part of our intuition. Biologically, the brain seems to be good it a kind of statistical calculation."

Thus, the basis of natural integers from natural physical phenomena, leading through statistical feature extraction from the real world provides Rav's

"Rational explanation for the usefulness of mathematics", required of epistemology.

And while I do not at all buy Giulio Tononi's specific theory of consciousness, my own theory of consciousness, introduced in an earlier FQXi essay, leads to an identification of mind with matter, and hence most of the same general conclusions can be drawn.

I very much enjoyed your well thought out and well-written essay and invite you to read my essay and comment.

Best regards,

Edwin Eugene Klingman

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Author Joselle Kehoe replied on Mar. 17, 2015 @ 16:41 GMT
Thank you very much for your comment. I apologize for not responding sooner. I just now read your essay, and will leave a comment for you.

Joselle

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Joe Fisher wrote on Mar. 17, 2015 @ 15:57 GMT
Dear Ms. Dinunzio,

You wrote: “As I see it, this universe, defined by the brightness of integrated

information or consciousness, is more than a poetic metaphor. It proposes a

significant change in ones point of view, making an unexpected equivalence

between mind and matter.”

This is my single unified theorem of how the real Universe is occurring: Newton was...

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Author Joselle Kehoe replied on Mar. 17, 2015 @ 16:46 GMT
Thanks for responding with this. I can only say that I've thought for a long time that the way we have conceptualized light, the speed of light, even the arrow of time, may yet be getting in our way.

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Vladimir Rogozhin wrote on Mar. 28, 2015 @ 12:41 GMT
Dear Joselle DiNunzio Kehoe,

Very interesting essay and ideas that are close to me in spirit.

The most important thought: "The representations are vectors, in that they contain both magnitude and direction."

I started my studies 25 years ago with the concept of "consciousness - a vector value", "vector of consciousness."

I fully agree with you that you do focus...

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Joe Fisher wrote on Apr. 8, 2015 @ 15:50 GMT
Dear Dinunzio,

I think Newton was wrong about abstract gravity; Einstein was wrong about abstract space/time, and Hawking was wrong about the explosive capability of NOTHING.

All I ask is that you give my essay WHY THE REAL UNIVERSE IS NOT MATHEMATICAL a fair reading and that you allow me to answer any objections you may leave in my comment box about it.

Joe Fisher

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James Lee Hoover wrote on Apr. 22, 2015 @ 23:04 GMT
Joselle,

Shark time, so I am revisiting essays I’ve read to assure I’ve rated them. I find that I did not rate yours, so I am rectifying. I hope you get a chance to look at mine: http://fqxi.org/community/forum/topic/2345

Jim

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