Theory of Knowledge:

Mathematics

From last weekMathematics 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

Look at both problemsLook at them from a mathematical viewpointThere 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?

How does Math’s link in TOKLanguageHow is Math’s like a language?ReligionDo mathematical truths exist in the mind of

god?The ArtsHow important is beauty in mathematics?

How does Math’s link in TOKHuman SciencesHow useful are mathematical models in the

human sciences?HistoryWhat role does statistics play in HistoryNatural SciencesIs the book of nature written in the language

fo mathematics