Archive for the ‘Science’ Category

Science, Technology, Engineering, and Mathematics

June 14, 2018

STEM: Science, Technology, Engineering, and Mathematics. We often hear that these areas of education and expertise are critical for the development of our modern society. To attract students to these fields, banners and logos are full of bright colors and crisp graphics. In comparison, above is my rather dull diagram. Not very enticing, is it?

Some are now adding Arts to the four, giving STEAM. I think the Arts are important of course, but fives don’t go with my oeuvre.

In addition, I give you a diagram with Chinese substituted for English (科學 技術 工程 數學).

Further Reading:,_technology,_engineering,_and_mathematics




March 29, 2018

What happens when the fourfold of Noether’s Theorem is spliced together with the fourfold of Pauli-Jung? Both have Space-Time and Matter-Energy. The former has Conservation and Symmetry, and the latter has Causality and Synchronicity.

I had to remind myself that Conservation means consistency (of matter or energy) through time (and space), and Symmetry means consistency (of form) through space (and time), so in some sense they are dualistic.

Combined, one has the three axes of dual concepts, represented above.

Further Reading:



Fourfold Physicalism

February 17, 2018

It is not enough for a wise man to study nature and truth, he should dare state truth for the benefit of the few who are willing and able to think. As for the rest, who are voluntarily slaves of prejudice, they can no more attain truth, than frogs can fly.

— From Man a Machine, by Julien Offray de La Mettrie

Further Reading:


Structures are built from parts.
Parts are reductions of structures.
Functions are assembled from actions.
Actions are the constituents of functions.

[*8.132, *9.104, *10.10]


Enlightenment Now!

February 15, 2018

I want a new enlightenment and I want it now! One replete with:

  • Humanism
  • Reason
  • Science
  • Progress

Or, at least I can read the book.

Further Reading:

Steven Pinker / Enlightenment Now: The Case for Reason, Science, Humanism, and Progress

Pinker’s twitter feed:




The World Values Survey

January 26, 2018

For a number of years, very interesting research in cultural studies has been produced by the World Values Survey. This survey measures the slippery notion of value as belonging to four types: Survival, Traditional, Self-Expression, and Secular-Rational.

Individual and social values are quantified, resulting in two pairs of value types that are independent, and for each pair, the two types are dependent and inversely proportional:

  • Survival values ⇔ Self-expression values
  • Secular-rational values ⇔ Traditional values

In other words, if survival values are high (say one), self-expression values are low (say zero), and if survival values are low, self-expression values are high. Similarly, secular-rational values are higher if traditional values are lower, etc. So a pair of numbers each between zero and one indicates how an individual or society considers the importance of these values.

These social values are measured and compared in countries around the world, resulting in the Inglehart-Welzel Cultural Map. This map is a scatter plot that clusters similar countries by value pairs, rather than geography. However, countries close in geography are also often fairly close as “value” neighbors on this cultural chart.

One might try to claim that self-expression values and secular-rational values are more “advanced” than survival and traditional values. As a culture obtains more material wealth they are less dependent on using resources for survival, and so can foster more self-expression. Then perhaps as self-expression grows and so independent thought, less dependence on or even tolerance of traditional values encourages increased secular-rational values. But that would be too easy!

Further Reading:–Welzel_cultural_map_of_the_world

World Values Survey on Twitter:



Atom and Archetype

January 23, 2018

A few weeks ago I ran across this nice review of the book Atom and Archetype: the Pauli-Jung letters 1932-1958. This is a collection of letters exchanged between psychiatrist Carl Jung and physicist Wolfgang Pauli over a course of years. Evidently, Pauli was quite the metaphysician and Jung was intrigued by Einstein’s physics of relative space and time. Together in dialectic they argued and struggled to join together the disparate notions of mind and matter.

What mainly caught my eye was a diagram that I’ve slightly altered and shown above. I’ve mainly just replaced energy with matter-energy for two reasons: first because matter and energy are inter-convertible and second because matter conditions space. This results in similarity to the fourfold diagram for Lucretius that I’ve shown before, consisting of Particles, the Void, Falling, and Swerving.

Further Reading:

Carl Jung and Wolfgang Pauli / Atom and Archetype: the Pauli-Jung letters 1932-1958, Princeton University Press; Updated edition (July 21, 2014)



A Rosetta Stone

December 6, 2017

Abstract of Physics, Topology, Logic and Computation: A Rosetta Stone by John Baez and Michael Stay:

In physics, Feynman diagrams are used to reason about quantum processes. In the 1980s, it became clear that underlying these diagrams is a powerful analogy between quantum physics and topology: namely, a linear operator behaves very much like a “cobordism”. Similar diagrams can be used to reason about logic, where they represent proofs, and computation, where they represent programs. With the rise of interest in quantum cryptography and quantum computation, it became clear that there is extensive network of analogies between physics, topology, logic and computation. In this expository paper, we make some of these analogies precise using the concept of “closed symmetric monoidal category”. We assume no prior knowledge of category theory, proof theory or computer science.

  • Physics
  • Logic
  • Topology
  • Computation

Perhaps Category Theory is a “Fifth Essence”?

Further Reading:

[*9.168, *10.50]


Speak, Listen, Write, and Read

December 3, 2017

Here’s another simple fourfold and maybe sixfold.

Speaking, Listening, Writing, and Reading are commonly presented together in elementary education as interrelated language skills. One is speaking for a listener and one is writing for a reader. One is listening to a speaker and one is reading a writer.

In the computer age another pair needs to be mentioned, that of programming for computers and the execution or running of that code by the computer. In a way, this new pair doesn’t fit, since one is writing code for computers, not people. And the execution of the program is not performed by a person, but by a computer.

(That’s not entirely true. Programs are also written for other human programmers in mind so that they can debug or maintain or modify the code if the original programmer isn’t available. Structured programming is one method to simplify the logical organization of the program so that others can comprehend it more readily. Object oriented programming is another method to allow multiple programmers to work independently without conflict.)

  • Speak – Listen
  • Write – Read
  • Program – Execute

But perhaps there is a different way to understand these duals. A speaker understands that a listener is following their speech by their response. A writer understands that a reader is comprehending their writing by their response. A programmer understands that a computer is ‘understanding’ the code by its response or output when the program is run.

Also, one can consider speech and writing to be encodings of thoughts into physical representations, and listening and reading to be decoding of the representations back into thoughts. Running or executing a program is not really decoding, or is it? But it is something like processing the speech or writing, like a computer is processing the program.

One might say that listening and reading are like processing the speech and text as programs on the computer of our brains. They are normally thought to be processed as data, as in Natural Language Processing, but it is an interesting twist if one considers them as programs. (Actually, I just recalled that the 1992 science-fiction novel “Snow Crash” by Neal Stephenson used this notion.)

To program effectively the programmer must execute their code in their mind, at least piecemeal and partially, just as a speaker or a writer must listen as they speak and read over what they have written. They can’t understand the full effect of the program’s execution, especially once the program becomes larger than a few statements, just as the full effect of speech or writing that is being processed by another person cannot be completely understood.

Not considered are computers themselves writing programs for other computers to “read” or execute. As the science of artificial intelligence becomes mature, computers writing and reading among themselves may become a common thing. Wasn’t there a news article about that recently? They pulled the plug on that pretty fast.

As digital assistants become more ubiquitous, they are fully participating in our language games of speaking, listening, writing, and reading. Will these so-called virtual assistants program for us next, as in Automatic Programming? That day may already be here.

Further Reading:

N. Katherine Hayles / My Mother was a Computer: digital subjects and literary texts

Neal Stephenson / Snow Crash


[*9.50, *10.36, *10.46]


The Duality of Time and Information, V3

October 1, 2017


The states of a computing system bear information and change time, while its events bear time and change information.

from The Duality of Time and Information by Vaughn Pratt

The most promising transformational logic seems to us to be Girard’s linear logic.

— from Rational Mechanics and Natural Mathematics by Vaughn Pratt


Here we have three duals:

  • Information – Time
  • States – Events
  • Bear – Change

Further Reading:

Vaughan Pratt / The Duality of Time and Information

Vaughan Pratt / Time and Information in Sequential and Concurrent Computation

Vaughan Pratt / Rational Mechanics and Natural Mathematics



A Digital Universe, V2

August 9, 2017

A digital universe – whether 5 kilobytes or the entire Internet – consists of two species of bits: differences in space, and differences in time. Digital computers translate between these two forms of information – structure and sequence – according to definite rules. Bits that are embodied as structure (varying in space, invariant across time) we perceive as memory, and bits that are embodied as sequence (varying in time, invariant across space) we perceive as code. Gates are the intersections where bits span both worlds at the moments of transition from one instant to the next.

— George Dyson, from Turing’s Cathedral

Further Reading:

George Dyson / Turing’s Cathedral: the origins of the digital universe


Embodied as Structure, Perceived as Memory

Invariant across Time: ¬ΔT
Varying in Space: ΔS

Embodied as Sequence, Perceived as Code

Varying in Time: ΔT
Invariant across Space: ¬ΔS

[*7.82, *7.83, *7.153, *10.14]


%d bloggers like this: