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Do the ever-improving tools of an area of knowledge always result in…
Do the ever-improving tools of an area of knowledge always result in improved knowledge? Discuss with reference to two areas of knowledge.
Keywords
Improving tools
Tools refer to the methods, instruments, technologies, or systems that aid in the process of acquiring, processing, and analyzing knowledge.
When tools improve, it means they become more efficient, accurate, or powerful.
Improved knowledge
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It could involve gaining more accurate, reliable, or insightful knowledge.
Area of knowledge
An area of knowledge (AOK) refers to one of the structured categories through which we organize knowledge
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Each area of knowledge has its own set of methods, standards, and tools.
Assumptions
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In mathematics, we assume that tools refer to the method and technique use.
Real Life Examples
Differential Equation with Laplas Transformation.
This technique will allow mathematician to simplify complex equations and make solving differential equation easier. However, it does not improve the knowledge because it just provides a new tool that mathematician can used.
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Do the ever-improving tools of an area of knowledge always result in improved knowledge? Discuss with reference to two areas of knowledge.
Keywords
ever-improving tools
tools
a piece of equipment that you use to help you do a job, esp. something that you use with your hands to make or repair something (American Dictionary)
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a piece of equipment that you use with your hands to make or repair something [equipment] (Cambridge Dictionary)
ever-improving tools means tools that continuously be better than its previous sucessor over time due to refinement and improvement
Reformulation of PT
Do the tools that are continuously being refined over time in area of mathematics and natural science always/constantly result in a better knowledge than before?
ever-improving
improving
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synonyms: surpass, better, outdo, exceed
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ever
- at any time
- at all times
- always
- constantly
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area of knowledge
An area of knowledge (AOK) refers to one of the structured categories through which we organize knowledge
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improved knowledge
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knowledge
understanding of or information about a subject that you get by experience or study, either known by one person or by people generally (Cambridge Dictionary)
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RLE
Mathematics: Story of Infinity
Zeno's Paradox of the Tortoise and Achilles
- Simple division can't calculate to infinity
- Calculus can
The Discovery and Investigation of Electrons
- In 1897, J.J. Thompson used a cathode ray tube to demonstrate that cathode rays were composed of previously unknown negatively charged particles, electrons.
- He measured the deflection of the rays in electric and magnetic fields, allowing him to calculate the charge-to-mass ratio of the particles.
- But he is unable to determine the charge of electrons due to the limitation of method and tools in his times.
- Then, in 1909, Milikan determined the charge of the electron by observing tiny oil droplets between two metal plates and measuring how the droplets’ motion changed when subjected to an electric field.
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In mathematics, tools are referred to method, formula or technique used. For example, differentiation, integration. limit, binomial theorem and maclaurin series.
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