The Differing Definitions of Conjecture and Theorem:

I’m not a mathematically oriented person, so don’t rely on me for the answer. Actually, no. TOK is not supposed to be subjective and biased, so I will answer it. According to the great Merriam-Webster founded by the great Charles and George Merriam, with the dictionary created by Noah Webster, conjecture means an inference formed without proof or sufficient evidence, whereas theorem is a theory. Actually, the official definition is: a formula, proposition, or statement in mathematics or logic deduced or to be deduced from other formulas or propositions. There we go. The meaning of the two words defined in several seconds.

Response to the mind-blowing TedX Video:

I believe what Saenz de Cabezon meant that ‘Maths dominates intuition and tames creativity’ is that numbers as a result of calculating a problem proves what your originally thought as the answer (intuition) as wrong. It’s a funny way how the cerebral grey matter works, because when we think of something as wrong, we stop thinking about it, but not in the right way, but the opposite. By doing that, that effectively destructs creativity as we are not thinking rationally. Do I agree with him? I might not me a mathematically oriented person, but I agree with him partially, not all the time. Whenever I do maths (thank god it’s not Maths HL), before I complete a math question or even start writing down my working, I use this process in my brain which is where I read the question carefully, then I think of what mathematical formula I might use, and then I proceed to write down my working. But even before doing that, I think about what result it will come out as. Will it be an OTT number or a reasonable number? This is where intuition works in math and it helps me greatly in knowing whether I’ve done correct math or not (math is a game, so even if I failed in previous years, I need to do well in Math Studies). But I do not believe that a math student, whether in Studies, SL or HL should guess the answer, because it can lead to wrong numbers and can flunk you in math (it only works in SAT when you don’t have time or don’t even know the answer). For creativity, math requires it, because who would have thought of all those weird formulae and symbols that we are not able to make sense of? We see math everyday, but it would only be the smart mathematicians that would be able to think of the deeper meanings of it through math.

Do I think maths are eternal and it gives maths a privileged position in TOK? No, I don’t think so. Why? Just because truths are eternal doesn’t mean that it should be given a higher status, whether math is a subject that most people take over the humanities. This is because every AOK, whether you like it or not has truths which one must accept forever. For example, in history, we all know that Hitler was a cruel and heartless dictator and that will be eternal. In physics, we all know that the law of gravity founded by Newton is eternal. In conclusion, just because something is eternal does not mean that we shouldn’t focus our attention on a single AOK, as other AOKs also gives us knowledge, but differently. And even if society collapses in the future, all the laws and theories that we created will still remain true for thousands of millennia. Unlike conjectures, theorems are applicate to infinite possibilities and will eternally be true and true until whenever.