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What is the difference between determinism and reductionism?

Reductionism is when complex behaviour is reduced to just one or two factors. For example, Behaviourism reduces complex learning down to just stimulus-response (e.g. classical co...

Answered by Rebecca W. • Psychology tutor

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a) Given f(x) = ln(x), use the Mean Value Theorem to show that for 0 <a <b, (b-a)/b < ln(b/a) < (b-a)/a. b)Hence show that ln(1.2) lies between 1/m and 1/n, with m, n consecutive integers to be determined.

a) f(x)=ln(x), so f'(x)=1/x. By MVT, f'(c) = (f(b)-f(a))/(b-a) = (ln b - ln a)/(b-a) = ln(b/a)/(b-a), where c lies between a and b. Now, since 1/x is a decreasing function, and a < c < b, we get 1/...

Answered by Cristiana R. • Further Mathematics tutor

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Explain Aquinas’ and Copleston’s Cosmological Argument

Finally, the third way of Aquinas’ five ways is the proof of God’s existence from contingency, which argues that God is a necessary being. Within this argument, Aquinas refers to contingent and necessary ...

Answered by Charlotte F. • Religious Studies tutor

5002 Views

What are the key differences between direct realism and idealism?

Direct realism (or naïve realism) as a theory of perception claims that what we perceive are real objects and their properties, and that these objects exist without even minds to perceive them. This often...

Answered by Ola A. • Philosophy tutor

13737 Views

In your opinion, what are the advantages and disadvantages of technology for young people?

Essay plan: Introduction - contextualise the topic, underline/give examples of main arguments eg. advantage is that they could meet friends online, disadvantage is that they could become isolated

P...

Answered by Rose L. • Spanish tutor

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