Category Archives: knowledge modeling

Kuhn: The structure of scientific revolutions

This excerpt from the Stanford Encyclopedia of Philosophy entry on Kuhn about paradigms supports my claim that worldviews are transcended and replaced, not included. Kuhn, by the way, got his Ph.D. in physics from Harvard before going into the philosophy of science.

“The functions of a paradigm are to supply puzzles for scientists to solve and to provide the tools for their solution. A crisis in science arises when confidence is lost in the ability of the paradigm to solve particularly worrying puzzles called ‘anomalies’. Crisis is followed by a scientific revolution if the existing paradigm is superseded by a rival. Kuhn claimed that science guided by one paradigm would be ‘incommensurable’ with science developed under a different paradigm, by which is meant that there is no common measure for assessing the different scientific theories. This thesis of incommensurability, developed at the same time by Feyerabend, rules out certain kinds of comparison of the two theories and consequently rejects some traditional views of scientific development, such as the view that later science builds on the knowledge contained within earlier theories, or the view that later theories are closer approximations to the truth than earlier theories.”

The geometry of space

Following up on this cogsci article, this new article in Nautilus supports the previous work about how spatial motor schemas extend into abstract conceptual mapping. Excerpts:

“We, unlike our computers, represent information in geometrical space.[…] The brain represents concepts in the same way that it represents space and your location, by using the same neural circuitry for the brain’s ‘inner GPS.’ […] The hippocampus’ place and grid cells, in other words, map not only physical space but conceptual space. It appears that our representation of objects and concepts is very tightly linked with our representation of space.”

“One of the ways these cognitive spaces can benefit our behavior is when we encounter something we have never seen before. Based on the features of the new object we can position it in our cognitive space. We can then use our old knowledge to infer how to behave in this novel situation. […] Cognitive spaces are a domain-general format for human thinking, an overarching framework.”

Winter 2020 discussion prompts

  • What is humanity’s situation with respect to surviving long-term with a good quality of life? (Frame the core opportunities and obstacles.)
  • What attributes of our evolved, experientially programmed brains contribute to this situation? (What are the potential leverage points for positive change within our body-brain-mind system?)
  • What courses of research and action (including currently available systems, tools, and practices and current and possible lines of R&D) have the potential to improve our (and the planetary life system’s) near- and long-term prospects?

Following is a list of (only some!) of the resources some of us have consumed and discussed online, in emails, or face-to-face in 2019. Sample a few to jog your thoughts and provoke deeper dives. Please add your own additional references in the comments below this post. For each, give a short (one line is fine) description, if possible.

The dirty secret of capitalism

And the way forward. Granted it’s not full-blown collaborative commons but more like a healthy social democracy of the kind Sanders promotes and Scandinavia has. But I think it’s a necessary stepping stone on that road. The blurb:

“Rising inequality and growing political instability are the direct result of decades of bad economic theory, says entrepreneur Nick Hanauer. In a visionary talk, he dismantles the mantra that ‘greed is good’ — an idea he describes as not only morally corrosive, but also scientifically wrong — and lays out a new theory of economics powered by reciprocity and cooperation.”

The Map and the Territory

Recent book by Wuppulari and Doria. F___ing Amen man. This would be a good one for discussion. From the Intro by Penrose:

“Is there a global map that can simulate every other map under some constraint? […] If two maps cannot be integrated, is this a limitation of our scientific cartography or is it the nature of the underlying territory itself that prevents us from such an attempt? […] It is safer to let the gaps remain as gaps while we let our maps remain as maps, rather than giving in to the seemingly seductive approach of trading in our understanding and intermingling maps with territory to fill in the conceptual gaps—however, much this may comfort us and appeal to our tastes!”

From the blurb at

This volume presents essays by pioneering thinkers including Tyler Burge, Gregory Chaitin, Daniel Dennett, Barry Mazur, Nicholas Humphrey, John Searle and Ian Stewart. Together they illuminate the Map/Territory Distinction that underlies at the foundation of the scientific method, thought and the very reality itself.

It is imperative to distinguish Map from the Territory while analyzing any subject but we often mistake map for the territory. Meaning for the Reference. Computational tool for what it computes. Representations are handy and tempting that we often end up committing the category error of over-marrying the representation with what is represented, so much so that the distinction between the former and the latter is lost. This error that has its roots in the pedagogy often generates a plethora of paradoxes/confusions which hinder the proper understanding of the subject. What are wave functions? Fields? Forces? Numbers? Sets? Classes? Operators? Functions? Alphabets and Sentences? Are they a part of our map (theory/representation)? Or do they actually belong to the territory (Reality)? Researcher, like a cartographer, clothes (or creates?) the reality by stitching multitudes of maps that simultaneously co-exist. A simple apple, for example, can be analyzed from several viewpoints beginning with evolution and biology, all the way down its microscopic quantum mechanical components. Is there a reality (or a real apple) out there apart from these maps? How do these various maps interact/intermingle with each other to produce a coherent reality that we interact with? Or do they not?

Does our brain uses its own internal maps to facilitate “physicist/mathematician” in us to construct the maps about the external territories in turn? If so, what is the nature of these internal maps? Are there meta-maps? Evolution definitely fences our perception and thereby our ability to construct maps, revealing to us only those aspects beneficial for our survival. But the question is, to what extent? Is there a way out of the metaphorical Platonic cave erected around us by the nature? While “Map is not the territory” as Alfred Korzybski remarked, join us in this journey to know more, while we inquire on the nature and the reality of the maps which try to map the reality out there.

The book also includes a foreword by Sir Roger Penrose and an afterword by Dagfinn Follesdal.

Bezos projects capitalism into space

Yes, space exploration is critical but we need to do it for the right reasons. And Bezos and other futurists want it without awareness or regard for the socio-economic system that has created hell on earth. So dump the earth and take our destruction into space? How about we change our worldview and socio-economic system and do it for the right reasons? And invest most of our time, energy and money into saving this world?

“The saying ‘it’s easier to imagine the end of the world than to imagine the end of capitalism’ is very clear in Bezos’ future imaginings. He is unable to challenge the capitalist system from which he’s derived so much wealth. Thus the only positive future he can imagine involves leaving the only planet habitable to human beings. […] We don’t need space colonies; we need to get rid of billionaires and let the future be decided collectively, instead of letting a few powerful men rule the world.”

Their are alternatives to capitalism consistent with the above. As but one example see “From capitalism to the collaborative commons” in this journal issue.

What are numbers, really?

The nature of math came up in our embodied cognition discussion. Here is a presentation by Dehaene on the topic followed by comments from The Reality Club: George Lakoff, Marc Hauser, Jaron Lanier, Rafael Núñez, Margaret Wertheim, Howard Gardner, Joseph Traub, Steven Pinker, Charles Simonyi. A few brief, edited Lakoff excerpts follow from that discussion. Note that this is a discussion from 1997, so a lot of confirming science has happened since then.

” [Dehaene] has made it clear that our capacity for number has evolved and that the very notion of number is shaped by specific neural systems in our brains. […] We understand the world through our cognitive models and those models are not mirrors of the world, but arise from the detailed peculiarities of our brains.”

“Mathematics is not ‘abstract’, but rather metaphorical, based on projections from sensory-motor areas that make use of ‘inferences’ performed in those areas. The metaphors are not arbitrary, but based on common experiences: putting things into piles, taking steps, turning around, coming close to objects so they appear larger, and so on.”

“Dehaene is right that this requires a nonplatonic philosophy of mathematics that is also not socially constructivist. Indeed, what is required is a special case of experientialist philosophy (or ’embodied realism’). […] Such a philosophy of mathematics is not relativist or socially constructivist, since it is embodied, that is, based on the shared characteristics of human brains and bodies as well as the shared aspects of our physical and interpersonal environments. […] On the other hand, such a philosophy of mathematics is not platonic or objectivist. Consider two simple examples. First, can sets contain themselves or not? This cannot be answered by looking at the mathematical universe. You can have it either way, choosing either the container metaphor or the graph metaphor, depending on your interests.”

“Dehaene is by no means alone is his implicit rejection of the Computer Program Theory. Distinguished figures in neuroscience have rejected it (e.g., Antonio Damasio, Gerald Edelman, Patricia Churchland). Even among computer scientists, connectionism presents a contrasting view. In our lab at the International Computer Science Institute at Berkeley, Jerome Feldman, I, and our co-workers working on a neural theory of language, have discovered results in the course of our work suggesting that the program-mind is not even a remotely good approximation to a real mind.”

Pinker of course also comments and takes issue with Lakoff’s depiction of him. Dehaene also responds to the comments at the end.

Should quantum anomalies make us rethink reality?

Indeed we should according to this recent Scientific American article. One thing I learned from Dennett in his new book is that according to him the scientific image uncovers an objective, underlying reality, while the manifest image is corrupted by our personal ontology. Not so according to quantum mechanics, which operates on the premise that our scientific results themselves are tied to our perceptions and constructed categories, not “a purely objective world out there.” There is a paradigm shift in science itself in accepting this understanding, given quantum anomalies described in the link. It’s time to update your scientific (and manifest) image Professor Dennett.

Query on interest in concept mapping

I like using concept maps to organize my thoughts and to plan articles and projects. I would like to share member-editable concept maps through this website.

I’ve used the free Cmap Tools program for many years. Unfortunately, Cmap Tools is developed on the Java platform and I have been unable to get it to work on my Mac for about two years. (Apparently, it needs an older version of the Java Runtime Environment and several other tools I use need a later version, which creates a conflict I’ve not been able to resolve.)

I am able to use Cmap Tools on my Windows 10 virtual machine, so it’s still a good candidate application.

Fortunately, there’s also a free cloud version of Cmap we can use to share concept maps. The downloadable (client) application has many more features for embedding functionality into concept maps, but the cloud environment is excellent for viewing and basic editing. Here’s a sample cmap I built in about five minutes this morning (displayed using the embed code from the Cmap Cloud Viewer):

Because this example is presented in a viewer window, it is not directly editable. If I provide a link to a shared cmap online, you’ll be able to edit it as well. If you install the downloadable version of Cmap Tools, you’ll be able to add richer content and more advanced features, including collapsable detailed nodes, embedded images and other resources, links to other nodes and maps, links to online content, etc.

If you might be interested in viewing and/or collaborating on concept maps, please reply and identify the operating system of the computer you would use. (If you don’t want to post your OS reply, please tell me by email.) Once you create a free account online, we’ll be able to collaboratively work on cmaps, which is a great way to negotiate meaning with a bit more structure and persistence than real-time conversations.

Last, if you want to know how cmaps and other visual representation benefit learning, read the articles on the IHMC site. I also highly recommend the little book, Learning How to Learn, by Novak and Gowin. Thanks!