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Category: Mathematics

Learning and teaching resources for children

Learning and teaching resources for children

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Jonathan Warner, of ThinkerFit, contacted me after discovering our site. He wrote My kids inspire me and are the reason behind this passion project. I thought that the potential benefit would be yours and to the people who will read the site’s content. It is my sincere hope that the information gets out there for people to learn from. Among my personal acquaintances, several have children at home now due to COVID-19. Even in less challenging times, parents, children, and educators…

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Winter 2020 discussion prompts

Winter 2020 discussion prompts

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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…

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ai will never conquer humanity

ai will never conquer humanity

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From this piece located at the publications page of the International Computer Science Institute.   “Mathematical models help describe reality, but only by ignoring its inherent integrity.” Computers work on binary logic and the world is full of  ‘noise.’ Hence computers, and mathematical models for that matter, can only approximate reality by eliminating that noise. “Can a bunch of bits represent reality exactly, in a way that can be controlled and predicted indefinitely? The answer is no, because nature is…

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What are numbers, really?

What are numbers, really?

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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…

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