The Utility of Aporia and The Problem with Stopping

In my last post I argued for Dialetheism, that there may be statements about the world that are both True and False. In this post I’m going to argue that Dialetheism itself is one of such statements. Like a true dialetheist, I’m going to argue that dialetheism is right, and also wrong. It’s both! Just… don’t think about it too hard. Or maybe you should; maybe that’s the problem.

This post is going to be somewhat different than the previous three. I’m going to use a notion of truth that is different than I have been, in a way that…


Gizmos of Paraconsistent Status

If you’ve been reading through my blog, you might have noticed I’ve just done something strange. I’ve argued that platonism is true, and then I’ve argued that platonism is false. So which is it? Well, I’d like to argue here that it can be both. I’d like to argue for another mathematical philosophy, called Dialetheism.

Dialetheism is the belief in Real Contradictions. It’s the belief that there are things about the world that are both True, and False simultaneously. I am going to argue for it a little backwards. First, I will argue that it’s true, then I will argue…


The Unreasonable Effectiveness of Intuitionism in Mathematics

Platonism is a philosophical position that originated with Plato’s theory of forms. It is the belief that abstract entities such as mathematical objects are “real”, and independent of human thought, and that they “actually exist” outside of time and space. This philosophical position is hotly debated among philosophers, and that’s largely because they’re free to argue without having any real implications for mathematics. Mathematicians will continue Mathing, whatever the philosophers say they’re Really Doing.

But perhaps not. There is actually another tradition within mathematics, based on another philosophical position: Intuitionism. Intuitionism asserts that mathematical objects are constructs of our minds…


Mental Models as Reality

Platonism is a philosophical position that originated with Plato’s theory of forms. It is the belief that abstract entities such as mathematical objects are “real”, and independent of human thought, and that they “actually exist” outside of time and space. This philosophical position is hotly debated, and that’s largely because those words I put in quotes are themselves hotly debated. What does “real” mean? What does it mean to “exist”?

Well, it seems that following the success and popularity of the scientific method, many people subscribe to an empiricist view of such things. They believe that we only know things…


Taeer Bar-Yam and Yaneer Bar-Yam
New England Complex Systems Institute
January 22, 2017

In our increasingly complex world, teams are becoming vital to success for individuals, and for our society as a whole.[1,2] Given this premise, we argue here that it is important to restructure our education system to reflect a team-centric world, and describe what that might look like.

It is currently thought that the role of the education system is to produce educated individuals, and it is structured accordingly. Because of this, we miss out on teaching students valuable team-oriented skills, and on creating good teams. …


Taeer Bar-Yam
New England Complex Systems Institute
January 22, 2017

Good teams and teamwork are becoming increasingly important to success in organizations.[1] When companies hire, individual intelligence and skill are no longer the only important qualities of an applicant. Other measures such as emotional intelligence (EQ), have arisen as descriptions of how well people work in teams. Personality tests are also used to match people into effective teams, by making sure the right number of each personality type are present.[2] Once teams are formed, companies employ team building exercises, retreats, etc., to train members of those teams to work well…

Taeer Bar-Yam

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