The decline of rigour in modern mathematics | Real numbers and limits Math Foundations 88
Rigour means logical validity or accuracy. In this lecture we look at this concept in some detail, describe the important role of Euclid's Elements, talk about proof, and examine a useful diagram suggesting the hierarchy of mathematics. We give some explanation for why rigour has declined
From playlist Math Foundations
Quantum Computer in a Nutshell (Documentary)
The reservoir of possibilities offered by the fundamental laws of Nature, is the key point in the development of science and technology. Quantum computing is the next step on the road to broaden our perspective from which we currently look at the Universe. The movie shows the history of pr
From playlist Quantum computing
Logical weakness in modern pure mathematics | Real numbers and limits Math Foundations 87
We begin PART II of this video course: "Mathematics on trial - why modern pure mathematics doesn't work". This video outlines the case for the prosecution: that modern pure mathematics suffers from: 1. Inconsistent rigour 2. Problematic definitions 3. Reliance on `axioms' 4. Computatio
From playlist Math Foundations
How real are the real numbers, really?
We usually say that infinity isn't real, but here we'll see how crucial it is to have one very big infinity for the real world; there is an infinite number of numbers. But why do we need real numbers at all? Aren't rational numbers enough? And what about hyperreal numbers? What we'll see
From playlist Some fun math videos about approximation
Fundamentals of Qualitative Research Methods: Scientific Rigor (Module 6)
Qualitative research is a strategy for systematic collection, organization, and interpretation of phenomena that are difficult to measure quantitatively. Dr. Leslie Curry leads us through six modules covering essential topics in qualitative research, including what it is qualitative resear
From playlist Fundamentals of Qualitative Research Methods
Rigour and reproducibility.
From playlist Archive - Research in Mobile/Wearable Tech
IMT4093 2015, Week 5, Thursday
Mobile Research, rigour and reproducibility of research
From playlist Archive - Research in Mobile/Wearable Tech
metauni day 12 - Tea break at the level of physical rigour
Music is Osiris REx from the Space Hustle album by Lucas Cantor.
From playlist Metauni
Mysteries of the Mathematical Universe
Mathematical mysteries have challenged humanity’s most powerful thinkers and inspired passionate, lifelong obsessions in search of answers. From the strangeness of prime numbers and the nature of infinity, to the turbulent flow of fluids and the geometry of hyperspace, mathematics is our m
From playlist Explore the World Science Festival
Alternative to SIR: Modelling coronavirus (COVID-19) with stochastic process [PART I]
A stochastic process approach to model the spread of coronavirus (COVID-19) as opposed to the compartmental deterministic SIR model. This model is generally known as branching process, but this video only focuses on the simplest type, called Bienaymé-Galton-Watson (BGW) process, because th
From playlist Mathematics of coronavirus
Irrigation Efficiencies - Part 1
From playlist TEMP 1
What exactly is a limit?? | Real numbers and limits Math Foundations 106 | N J Wildberger
In this video we aim to give a precise and simpler definition for what it means to say that: a rational polynumber on-sequence p(n) has a limit A, for some rational number A. Our definition is both much simpler and more logical than the usual epsilon -delta definition found in calculus tex
From playlist Math Foundations