MF31: Parallelograms and affine combinations
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9:25
MF32: Geometry in primary schoolby njwildberger2,207 views- 7:55
MF33: What exactly is an area?by njwildberger1,180 views
- 9:53
MathFoundations30: What exactly is a vector?by njwildberger3,728 views
- 10:09
MF35: Translations, rotations and reflections (I)by njwildberger3,636 views
- 9:45
MF34: Areas of polygonsby njwildberger1,436 views
- 9:52
MF39: Why angles don't really work (II)by njwildberger914 views
- 8:11
MF41: Why angles don't really work (III)by njwildberger971 views
- 10:08
MF56: The Trinomial theoremby njwildberger1,356 views
- 9:50
MF40: Correctness in geometrical problem solvingby njwildberger958 views
- 9:20
MF38: Why angles don't really work (I)by njwildberger1,003 views
- 9:51
MF43: Reconsidering `functions' in modern mathematicsby njwildberger1,614 views
- 10:05
MF52: Leonhard Euler and Pentagonal numbersby njwildberger1,442 views
- 9:58
MF37: Translations, rotations and reflections (III)by njwildberger1,643 views
- 9:16
MF47: Baby Algebraby njwildberger1,107 views
- 10:04
MF55: Binomial coefficients and related functionsby njwildberger1,395 views
- 9:51
MF36: Translations, rotations and reflections (II)by njwildberger1,485 views
- 9:46
MF46: Introduction to Algebraby njwildberger1,444 views
- 9:59
MF45: Quadrilaterals, quadrangles and n-gonsby njwildberger783 views
- 9:56
WildLinAlg9b: Three dimensional affine geometry (cont.)by njwildberger783 views
- 9:52
MF58: Arithmetic with positive polynumbersby njwildberger797 views
Can we add points and vectors? What is the meaning of A (a point) plus v ( a vector) if they are different mathematical objects??
danyaikido 7 months ago
@danyaikido Yes they are different mathematical objects, but we are allowed to combine them as long as we do so clearly and unambiguously. It is like multiplying a vector by a number---they are different, but we can give meaning to the product as another vector. In the case of point plus vector, the result is intuitively natural; start at point A, move left by three units, end up at point B etc.
njwildberger 7 months ago
@njwildberger Thank you very much! Your approach to maths is very interesting. Do you have some video where you talk more about the real numbers? What about Dedekin's cuts or Cauchy sequences?
danyaikido 7 months ago
@danyaikido I discuss real numbers a little in Universal Hyperbolic Geometry 20. Dedekind cuts and Cauchy sequences are elaborate hoaxes, to be honest. They don't work, which is why you never see them laid out completely. I will bury them later in the MathFoundations series!
njwildberger 7 months ago