Graphs and paradoxes

A directed graph is a pair where N is any collection or set of objects (the nodes of the graph) and E is a relation on N (the edges). Intuitively speaking, we can think of a directed graph in terms
A directed graph is a pair where N is any collection or set of objects (the nodes of the graph) and E is a relation on N (the edges). Intuitively speaking, we can think of a directed graph in terms [More]

Ineffable facts, deep ignorance, and the sub-algebra hypothesis: Part 2

If there are any ineffable facts, then it is striking that they essentially are nowhere to be found. It is natural to think of ineffable facts as rare, radical exceptions, something unusual, maybe
If there are any ineffable facts, then it is striking that they essentially are nowhere to be found. It is natural to think of ineffable facts as rare, radical exceptions, something unusual, maybe [More]

Ineffable facts, deep ignorance, and the sub-algebra hypothesis: Part 1

There are many things we do not know, but sometimes our ignorance runs deeper than other times. The post Ineffable facts, deep ignorance, and the sub-algebra hypothesis: Part 1 appeared first on
There are many things we do not know, but sometimes our ignorance runs deeper than other times. The post Ineffable facts, deep ignorance, and the sub-algebra hypothesis: Part 1 appeared first on [More]

Really big numbers

What is the biggest whole number that you can write down or describe uniquely? Well, there isn’t one, if we allow ourselves to idealize a bit. Just write down “1”, then “2”, then… you’ll never find
What is the biggest whole number that you can write down or describe uniquely? Well, there isn’t one, if we allow ourselves to idealize a bit. Just write down “1”, then “2”, then… you’ll never find [More]

Accessible and inaccessible disciplines: why philosophy and science are similar but are treated differently

Amongst my books is a late nineteenth century edition of Kant’s Critique of Pure Reason. Purchased from a used bookshop many years ago, it contains the previous owner’s signature on the flyleaf
Amongst my books is a late nineteenth century edition of Kant’s Critique of Pure Reason. Purchased from a used bookshop many years ago, it contains the previous owner’s signature on the flyleaf [More]

A person-less variant of the Bernadete paradox

Before looking at the person-less variant of the Bernedete paradox, lets review the original: Imagine that Alice is walking towards a point – call it A – and will continue walking past A unless
Before looking at the person-less variant of the Bernedete paradox, lets review the original: Imagine that Alice is walking towards a point – call it A – and will continue walking past A unless [More]

Just because all philosophers are on Twitter…

Just because everyone is on Twitter doesn’t mean they’ve all got interesting things to say. I vaguely recall reading that late 19th-century curmudgeons expressed similar scepticism about the then
Just because everyone is on Twitter doesn’t mean they’ve all got interesting things to say. I vaguely recall reading that late 19th-century curmudgeons expressed similar scepticism about the then [More]

Against narrowness in philosophy

If you asked many people today, they would say that one of the limitations of analytic philosophy is its narrowness. Whereas in previous centuries philosophers took on projects of broad scope,
If you asked many people today, they would say that one of the limitations of analytic philosophy is its narrowness. Whereas in previous centuries philosophers took on projects of broad scope, [More]

How much do you know about Hypatia? [quiz]

An astronomer, mathematician, philosopher, and active public figure, Hypatia played a leading role in Alexandrian civic affairs. Her public lectures were popular, and her technical contributions to
An astronomer, mathematician, philosopher, and active public figure, Hypatia played a leading role in Alexandrian civic affairs. Her public lectures were popular, and her technical contributions to [More]

Philosopher of the month: Hypatia

An astronomer, mathematician, philosopher, and active public figure, Hypatia played a leading role in Alexandrian civic affairs. Her public lectures were popular, and her technical contributions to
An astronomer, mathematician, philosopher, and active public figure, Hypatia played a leading role in Alexandrian civic affairs. Her public lectures were popular, and her technical contributions to [More]