In a new video, Professor N J Wildberger calls for the end of ‘infinity’ Norman J Wildberger is an Associate Professor in mathematics at UNSW (University of New South Wales) in Sydney Australia, and he has a PhD in mathematics from Yale. He is well-known for his excellent educational videos on YouTube and for being […]

## The Sting: The long-con of 0.999… = 1

About the sting A ‘sting’ is a deceptive operation designed to catch people out. For those of us who do not accept 0.999… =1, it can feel as if members of the mathematics establishment have conspired to perform a sting operation on the rest of the world. This 0.9 recurring sting is an elaborate mathematical con […]

## ASTOUNDING: The true meaning of -1/12

Get ready to be astounded In early 2014, a YouTube video about mathematics went viral and soon had over 1 million views. Using simple mathematics, it claimed to prove that if you add up all the natural numbers, 1+2+3+4+…, all the way to infinity, the answer is -1/12. It seemed like an ‘astounding’ result because you […]

At the very foundation of modern mathematics you will find a belief in a mysterious realm that lies outside this physical world. Inside this realm all numbers from all number systems inherently exist. This abstract world has always existed and always will. And without this imagined place it is claimed we would not even be […]

Is infinity a valid mathematical concept? It is inconceivable that infinity might not be a valid mathematical concept. It is used extensively throughout almost all braches of mathematics. Top mathematicians have accepted and used the concept for hundreds of years. Calculus would not exist without it. The very foundation for modern mathematics is the axiomatic […]

## Does infinity exist? – The definitive answer

The definitive answer involves definitions. In order to answer the question “does infinity exist” we must be clear about what we mean by the terms “infinity” and “exist”. To this end, we will examine the definitions returned by Google’s own dictionary. The first definition of infinity: Infinity has two definitions, the first of which is […]

## Worldwide mission of the EF blog

The Extreme Finitism mission has begun. The main objective is to get Extreme Finitism recognised by a worldwide audience. Please help us in this task by sharing articles through social media (click on the share buttons at end of each article). The hope is to improve clarity and rigour within academic disciplines through the abolition […]

## Let’s visit infinity for a bit of fun

Mathematician Georg Cantor introduced the concept of an infinite set. He proceeded to (supposedly) prove there are more real numbers than natural numbers. But with infinity, we can effectively prove whatever we want to. And so for a bit of fun, let’s assume we understand what infinity is and that infinity does exist. Now we can […]