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Mathematics. From last week Mathematics can be defined as ‘the science of rigorous proof” begins with axioms and used deductive reason to derive theorems.

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Presentation on theme: "Mathematics. From last week Mathematics can be defined as ‘the science of rigorous proof” begins with axioms and used deductive reason to derive theorems."— Presentation transcript:

1 Mathematics

2 From last week Mathematics can be defined as ‘the science of rigorous proof” begins with axioms and used deductive reason to derive theorems. While some claim that mathematics is discovered, others claim that it is invented; but neither view seems to be entirely satisfactory Mathematicians and philosophers are still perplexed by the extraordinary useful mess of mathematics

3 Look at both problems Look at them from a mathematical viewpoint There are 1024 people in a knock out tennis tournament. What is the total number of games that needs to be played before a champion can be declared? Now apply your logic to 1,000,345 tennis players What is the sum of the integers from 1 to 100? Now apply this to the numbers from 1 to 1000 Are you approaching this from a math’s viewpoint or are you a scientist?

4 How does Math’s link in TOK Language How is Math’s like a language? Religion Do mathematical truths exist in the mind of god? The Arts How important is beauty in mathematics?

5 How does Math’s link in TOK Human Sciences How useful are mathematical models in the human sciences? History What role does statistics play in History Natural Sciences Is the book of nature written in the language fo mathematics


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