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To what extent do you agree with the claim "all models are wrong, but…
To what extent do you agree with the claim "all models are wrong, but some are useful" (attributed too George Box)? Discuss with reference to Mathematics and one other area of knowledge
Keywords
Model: An idealized / simplified, representation of a section of the world around us. It can simplify a physical, biological or sociological phenomenon
Useful: Can be use in the real life context to give insight, predict or solving the problem.
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All models will never behave the same as the reality as each model is bound to be somewhat off, obscuring certain facts of reality or highlighting others, missing some attributes while completely nailing others.
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Real life example
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Natural Sciences:
Model can represent many things, including but not limited to objects that are too small to be observed with the naked eye, too big to see, objects that no longer exist. have yet to be invented or cannot be seen
The purpose of models is usually to help visualise something that is difficult to explain with words or mathematical expressions. These models allow scientists help communicate their ideas and understand the process of a certain phenomenon.
What are models in Natural Sciences?
Scientific models are representations of objects, systems or events and are used as tools for understanding the natural world. Models use familiar objects to represent unfamiliar things.
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Examples
The Atomic models (Bohr's, Rutherford)
The Ideal Gas model, pV = NRT
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Examples
Epidemological modelling ( SIR Modelling, Bayesian Statistics )
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Normal distribution, Poisson distribution, Binomal distribution