OK so I just bought my Mathematics dictionary after starting to learn numbers. My thoughts where that if we can store lists then we can atleast store usefull numbers.

Now Ive got stuck on differentiation for a while now. Whilst inbetween buying the book and walking home I slowly began to realise that I should consider it as a whole and this may not surprise you, realised it was finding the gradient of a point on a line in the y axis . Still this is not the full explanation and can for now only speculate that the value in powers gets diminished by one as x is the horizontal and therefore to remove a power you need to spread the same direction (not fully complete). Basicly it is finding another language from a summarisation to a point to to point language.

However my point is that Maths becomes more vague in computing rather than working the other way. We have to find simple abstractions that wont always work. My problem is I'm stuck.

To compute a difference in python we could use a subtraction if numbers are specified. Suppose they're not. How would we display a difference and propperly use the equation. Could it be a combination of logic and numbers, I want to say strings but I know that they're are only recognised mathematically really.

Is there a way to make a computer recognise strings mathematically in a command like way without specifying numbers?

Anyway is anyone else thinking about inputting equations using simpler equations, anyone think this is barmy and unacomplishable. If so why? And what problems can you speculate. Does further maths become more vague? If we shut the abstractions off then why is it a summarisation of a whole in mechanisms forming it? etc. etc.

Thanks