Beyond Necessity

As we are close to the subject, and because it is beautiful and remarkable, here is Cantor's proof of the uncountability of the reals*. ...

Belette asks about rules for ‘constructing’ Ockham sets (osets). It should be noted that there is no sense in which osets are, or need to b...

I must confess my intuition, which rarely lets me down, fails me in the present case.  The question is whether the 'Ockham set' axio...

A commenter wondered  whether Malezieu's principle (that a number of things - say 20 - exist because the first exists, the second exists...

As I have defined an Ockham set or oset , an oset is nothing different from its elements. A term referring to an oset (‘that dozen of eggs’)...

In my last post , I introduced the 'Ockham' version of the axiom of infinity (Ockinf) For any X's, there is some y such that y ...

Judging by the comments from 'Belette', we need some preliminary remarks about Ockham sets. Let's begin with plural reference. ...

In my previous post about infinity, I distinguished 'Ockham sets' or osets from ordinary mathematical sets.  An Ockham set is like...

I shall argue that there are there no infinite sets. Which I shall immediately qualify by distinguishing between mathematical sets, and Ockh...