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To what extent do you agree with the claim “all models are wrong, but some…
To what extent do you agree with the claim “all models are wrong, but some are useful” (attributed to George Box)? Discuss with reference to mathematics and one other area of knowledge.
All Models are wrong
What are models?
Simplified representation of complex systems, processes or phenomenon
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A way to explain,describe or predict a phenomenon
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What Types of models?
Math
Statistics
Census
Paradox: If corresponds to what is seen physically, Then that means that it is using its own data to verify it's validity
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Knowledge
Correspondence
A knowledge claim is true if it corresponds to a fact. According to this theory a statement must correspond with reality and cannot merely depend on what an authority says or what you feel? The “go and see” theory
Coherence
A knowledge claim is true if it fits in with our overall set beliefs. The logical process o reasoning is paramount. The “sit and think” theory
Pragmatic
A knowledge claim is true if it is useful or works in practice, Rather than worry about whether insubstantial negative facts exist or how to deal with coherence fictions, all that is required to determine if an idea is true is to put it to work in the world. The “down-to-earth” theory.
Pluralistic
A knowledge claim can be true within a particular area of knowledge. The meaning of truth depends on the context and area of knowledge .