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Knowledge crystal

Knowledge crystal is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Knowledge crystal rather than just read about it. In short: This page is about information objects. For the university library, see University of Indonesia#Campuses.

Key takeaways

  • Knowledge crystal belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Knowledge crystal to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Knowledge crystal from memory before moving on to harder problems.

Reference excerpt

This page is about information objects. For the university library, see University of Indonesia#Campuses. Knowledge crystals are web-based information objects that are used in scientific information production. Especially, they are used in open assessments designed to support societal decisions. They act as current best answers to specific research questions. They are produced and distributed openly using crowdsourcing and scientific criticism.

Definition and principles Knowledge crystals are web-based information objects (in practice, web pages with a specific topic) that are used in scientific information production. They were first described in a report by National Public Health Institute of Finland in 2007, at that time using name variable and later ovariable (from open variable). The term knowledge crystal was first used in a review article about big data not earlier than in 2015. The purpose of a knowledge crystal is to provide best current scientifically defendable answer or answers to a specific research question and also give enough rationale to convince a critical rational observer that the answers are plausible. This gives knowledge crystals their particular structure: question, answer, and rationale. To promote the use of answers in decision support and elsewhere, they are by default published as open data. Especially, they are used in open assessments designed to support societal decisions. They are produced and distributed openly using crowdsourcing and scientific criticism. In disputes, arguments that are based on direct observations and data are the strongest. The open participation in knowledge crystal production is inspired by the criteria for evaluating implementation of the Aarhus Convention principles by Hartley and Wood, and particularly the seven categories of principles of public participation by Webler and Tuler. Rather than consensus, knowledge crystals aim to produce shared understanding, where all relevant views and facts are described in such a detail that participants can see where there are agreements and where disagreements and why. It is also essential that scientifically falsified views do not affect the answer but that they are shown in the rationale to avoid repetition of previous mistakes. This is an essential part of a decision support approach called open policy practice, where information is structured specifically by using knowledge crystals .

Usage Knowledge crystals are extensively used in Opasnet, a web-workspace for making open assessments to support societal decisions. The method was initially developed to promote environmental health assessments, but it was deliberately expanded to cover health impact assessments and other areas of decision support. Knowledge crystals are also used in Climate Watch, a monitoring platform for city-level climate mitigation. There are different kinds of knowledge crystals. Assessments are produced to answer practical information needs related to actual decisions to be made. They consist of variables, which contain answers to related scientific questions such as health impacts of planned decision actions. There are also methods, which give specific guidance on how to produce a particular kind of variable, e.g. a disease burden estimate. Typically, knowledge crystals are continually updated when new information arises. However, assessments are usually closed when the decision has been made, but the variables that the assessments used are kept open and used in subsequent assessments. The standardised structure of knowledge crystals enables the building of assessment models or different Internet applications on top of them. This is based on the idea that even though the content is updated, a knowledge crystal remains in the same, computer-readable format with a permanent URL. A specific feature is also that an understandable summary, technical details and metadata for an expert, possible discussions, and open data are all found from the same page.

Criticism The main criticism by researchers has been that collaborating online will take time away from the real work, namely publishing scientific articles about original research. Also, doubts have been presented whether it would be possible to manage a scientifically high-quality process if anyone could participate, even those who have vested interest in the topic.

See also Opasnet Open assessment Climate Watch Knowledge Engine (Wikimedia Foundation) Question answering Probabilistic logic Probabilistic logic network Dempster–Shafer theory

References

Further reading Ben Goertzel, Matthew Iklé, Izabela Freire Goertzel, Ari Heljakka. Probabilistic Logic Networks: A Comprehensive Framework for Uncertain Inference. Springer (1 edition November 11, 2008). ISBN 978-0387768717.

Worked examples

Example 1 — a first encounter with Knowledge crystal

Start with the simplest possible case. Write down what Knowledge crystal claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Knowledge crystal before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Knowledge crystal ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Knowledge crystal

In research
Knowledge crystal appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Knowledge crystal in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Knowledge crystal is common in secondary-school and first-year university syllabi. It links to neighbouring topics Impact assessment, Internet properties established in 2007, Probability assessment, so understanding it makes those chapters shorter.
In everyday life
Look for Knowledge crystal outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Knowledge crystal in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Knowledge crystal means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Knowledge crystal out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Knowledge crystal in simple terms?

This page is about information objects. For the university library, see University of Indonesia#Campuses.

Why does Knowledge crystal matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Knowledge crystal?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Knowledge crystal.

Tags

  • Impact assessment
  • Internet properties established in 2007
  • Probability assessment

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