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I see, so yeah the questions are more philosophical then anything.

Mathematical Idealism is pretty much Intuitionism, that is: 'There are no non-experienced mathematical truths'. So it pretty much is saying that mathematics is simply a creation of the human mind, although we create them from set axioms and derive properties from there, they would not exist if...

Good idea!

Aww thats a shame, heh Olympiads are probably far from my reach but Ill give it my best shot :)

Alright nice observation there, thanks :)

Yes

$Prove that the fraction $ \frac{21n+4}{14n+3} $ is irreducible for every natural number n$ Irreducibility of a Fraction Is a proof by induction efficient?

From what Ive seen Complex Numbers can be mechanical at times but there are tricky HSC questions alot of the time. But yeah people say Q1 Integration and Q2 Complex Numbers are the marks the BOS gives for free

No Im(z)=y Thats pretty much it, I dont get how people think its iy.

Calculate the angle for which an object must be projected, such that the maximum height is equal to half the range of the projectile

Reading up on Goedells Incompleteness Theorem, and I find it a very interesting topic, how do we axiomise basic arithmetic operations, if its even possible? Moreover, what do mathematical realists have to say in argument against the mathematical idealists whom claim that we invent maths rather...

Well I was thinking the rest of the forum could be used for posting math problems, discussing math events and specific proofs and stuff like that. I intended this thread to be more general mathematical theory, random tidbits from everything in discussion. But I guess if you wish then it cant...

But we still have to consider that, geometrically if we have this shape of infinite length in the base, and a finite area, what can we make of it? A broader question though is, why do we arrive at these paradoxes because of pictures? Is it because algebra representation is not as axiomatic as...

kekekeke

Alright thanks. I watched this video today about the harmonic series paradox, about how the series: \sum_{i=1}^n \frac{1}{i^2}=\frac{\pi^2}{6} and \sum_{i=1}^n \frac{1}{n} = \infty And the paradox where if we geometrically represent the converging series by an infinite series of squares...

What does it mean to take a number to an imaginary/complex power? like e^ix for instance, is it possible to give it an interpretation like we give to powering by real number systems?

A thread to discuss maths in general of topics of all ranges (can be school based as well) Ask questions and discuss certain things.

Total number of combinations: 30C8 Numnber of combinations with Joe and Dan (it doesnt matter what teams they are on because we are picking from the group as a whole, if it were to say, pick 3 from A 4 from B and 1 from C then it does matter what teams they are on, but not in this case)...

In my opinion do the paper backwards, so we get Q14 and 13 earlier etc (We can compare the MC results easily online anyway)

My Goals for HSC Marks wise: Math X2: 99 (top 5 in state if not first (not happening)) - First in cohort Math X1: 99/100 (Exam is tommorow!) - (Already 2nd in cohort) Mathematics: 100 (state rank) English Advanced: 90+ - Top 3 in school English X1: 47+/50 - Top 3 in school English X2...