Norman Wildberger (Mathematician)
Videolar
- The Emperor's functions have no clothes!
- Description: Unfortunately the modern set-theoretic definition of a function f: A to B generally does not make logical sense. Are we able to think clearly about this crucial concept? If we don't, our AI machines soon will, and the results will embarrass us. The truth is that much of modern pure mathematics is a logical mirage, sustained by giddy levels of wishful thinking and denial.
- Videodan: [The modern theory of functions] is very sad. What is the alternative? How do we really make progress? I think what we need to do is to return to understanding of the Pythagoreans of 2500 years ago. Namely that at the core of mathematics there rest number. Natural numbers, ratios of numbers, like fractions, and proportions between numbers. These are exact, these are proper solid computational basis for mathematics. […] I think that it's exciting to think that we really need to return to classical Greek thinking to create a more sensible, logical correct, computational verifiable mathematics. If mathematics to remain honest it must confront the illusion at the heart of analysis and find a more solid foundation in number.
- Description: Unfortunately the modern set-theoretic definition of a function f: A to B generally does not make logical sense. Are we able to think clearly about this crucial concept? If we don't, our AI machines soon will, and the results will embarrass us. The truth is that much of modern pure mathematics is a logical mirage, sustained by giddy levels of wishful thinking and denial.
- Dispelling limit confusion and cheating
- A skeptical look at the special relativity narrative
- Greek pure mathematics and the infitude of primes
- No absolute rest
- A Proportionality Hypothesis for modern physics
- A Proportionality Hypothesis for modern physics
- In this video we tentatively propose a Proportional Hypothesis for modern physics that might serve as a springboard to re-examining some of the basic foundational equations of the subject.
- A Proportionality Hypothesis for modern physics
- He questions common physics labels such as mass and force
- Problems with pure matehamtics
- Understanding uniform motion: are radians really necessary?
- Uniform motion hakkında pek bir şey yok bu videoda
- Understanding uniform motion: are radians really necessary?
- Uniform motion hakkında pek bir şey yok bu videoda
- Continuity / continuum
- How to model the continuum
- The most fundamental and important problem in mathematics
- How to model the continuum
- The rational number line and irrationalities (b)
- The rational number line and irrationalities
- In this video we present a basic and profound solution to the most important and fundamental problem in mathematics (which is: How to model the continuum?) This is the rational number line.
- The rational number line and irrationalities
- Geometry
- Sets
- Euclid