In mathematical psychology and education theory, a knowledge space is a combinatorial structure used to formulate mathematical models describing the progression of a human learner. Knowledge spaces were introduced in 1985 by and Jean-Claude Falmagne, and remain in extensive use in the education theory. Modern applications include two computerized tutoring systems, ALEKS and the defunct . Formally, a knowledge space assumes that a domain of knowledge is a collection of concepts or skills, each of which must be eventually mastered. Not all concepts are interchangeable; some require other concepts as prerequisites. Conversely, competency at one skill may ease the acquisition of another through similarity. A knowledge space marks out which collections of skills are feasible: they can be learned without mastering any other skills. Under reasonable assumptions, the collection of feasible competencies forms the mathematical structure known as an antimatroid. Researchers and educators usually explore the structure of a discipline's knowledge space as a latent class model. (Wikipedia).
What exactly is space? Brian Greene explains what the "stuff" around us is. Subscribe to our YouTube Channel for all the latest from World Science U. Visit our Website: http://www.worldscienceu.com/ Like us on Facebook: https://www.facebook.com/worldscienceu Follow us on Twitter: https:
From playlist Science Unplugged: Physics
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From playlist Science Unplugged: Special Relativity
Quantum Computer in a Nutshell (Documentary)
The reservoir of possibilities offered by the fundamental laws of Nature, is the key point in the development of science and technology. Quantum computing is the next step on the road to broaden our perspective from which we currently look at the Universe. The movie shows the history of pr
From playlist Quantum computing
Hidden Dimensions: Exploring Hyperspace
Extra dimensions of space—the idea that we are immersed in hyperspace—may be key to explaining the fundamental nature of the universe. Relativity introduced time as the fourth dimension, and Einstein’s subsequent work envisioned more dimensions still--but ultimately hit a dead end. Modern
From playlist Science
Is there any place in the Universe where there's truly nothing? Consider the gaps between stars and galaxies? Or the gaps between atoms? What are the properties of nothing?
From playlist Guide to Space
Does space mean emptiness? How do you describe it?
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From playlist Science Unplugged: Physics
Do you understand the universe?
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From playlist Science Unplugged: Big Ideas
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From playlist Science Unplugged: Big Ideas
In this lecture, Dr Arif Ahmed (University of Cambridge) thinks about the concept of knowledge and the analysis of a particular category of knowledge called ‘propositional knowledge’ (also known as ‘knowledge that’). In particular, we focus on: (i) the distinction between different kinds o
From playlist Philosophy
First look at Knowledge Graph Embedding (w/ simple Jupyter NB dgl-ke)
Knowledge Graph Embedding and its advantages for answering search queries. Simple explanation of Knowledge Graph Embedding and its use case. Tech to answer your (Siri) questions is basically a Deep Graph Knowledge Embedding Library (DGL-KE), a knowledge graph (KG) embeddings library built
From playlist Learn Graph Neural Networks: code, examples and theory
Knowledge Graph Embedding - Dec 2021
An intro to Knowledge Graphs, based on our knowledge of Graph Neural Networks. A simple example provides an easy pathway to Knowledge Graphs and training of Knowledge Graphs (AI). Knowledge graphs (KG) are data structures that store information about different entities (nodes) and their
From playlist Learn Graph Neural Networks: code, examples and theory
Zero Knowledge Proofs - Seminar 2 - Defining zero knowledge proofs
This seminar series is about the mathematical foundations of cryptography. In this series Eleanor McMurtry is explaining Zero Knowledge Proofs (ZKPs), a fascinating set of techniques that allow one participant to prove they know something *without revealing the thing*. In this seminar Elea
From playlist Metauni
Zero Knowledge Proofs - Seminar 3 - Perfect zero knowledge
This seminar series is about the mathematical foundations of cryptography. In this series Eleanor McMurtry is explaining Zero Knowledge Proofs (ZKPs). This seminar defines perfect zero knowledge and proofs of knowledge. You can join this seminar from anywhere, on any device, at https://w
From playlist Metauni
Intro to the Philosophy of Mathematics (Ray Monk)
A good introduction to the philosophy of mathematics by Ray Monk. He considers the issue of the nature of mathematical truth - what mathematics is actually about - and discusses the views of Plato, Aristotle, Kant, Frege and Russell. What is mathematics about? Is mathematics something disc
From playlist Logic & Philosophy of Mathematics
André Freitas - Building explanation machines for science: a neuro-symbolic perspective
Recorded 12 January 2023. André Freitas of the University of Manchester presents "Building explanation machines for science: a neuro-symbolic perspective" at IPAM's Explainable AI for the Sciences: Towards Novel Insights Workshop. Learn more online at: http://www.ipam.ucla.edu/programs/wor
From playlist 2023 Explainable AI for the Sciences: Towards Novel Insights
Kant's Copernican Turn - Kant's Project (Bernstein - 2007)
J.M. Bernstein discusses Kant's overall project through his famous Copernican Turn. This is from the first lecture of a course on Kant's Third Critique (The Critique of Judgment) as part of the so-called Bernstein Tapes. I thought it provided a good introduction to Kant. Note, the audio ha
From playlist Kant & Hegel's Philosophy (J.M. Bernstein - 2007)
3 Space, Time & the "Analogies of Experiences" - Kant's Critique of Pure Reason (Dan Robinson)
Dan Robinson gives the 3rd lecture in a series of 8 on Immanuel Kant's Critique of Pure Reason. All 8 lectures: https://www.youtube.com/playlist?list=PLhP9EhPApKE_OdgqNgL0AJX9-gwr4tmLw Kant's so-called "Copernican" revolution in metaphysics begins with the recognition of the observer's c
From playlist Kant's Critique of Pure Reason - Dan Robinson
End-to-End Differentiable Proving: Tim Rocktäschel, University of Oxford
We introduce neural networks for end-to-end differentiable proving of queries to knowledge bases by operating on dense vector representations of symbols. These neural networks are constructed recursively by taking inspiration from the backward chaining algorithm as used in Prolog. Specific
From playlist Logic and learning workshop
Can You Define the Immeasurable?
What is infinity? Can you define something that, by definition, has no boundaries? A subject extensively studied by philosophers, mathematicians, and more recently, physicists and cosmologists, infinity still stands as an enigma of the intellectual world. We asked people from all walks of
From playlist Mathematics