One central notion in mathematics is cardinality (I've given an intuitive of cardinality in this post). In particular, there are different types of infinity, with some being larger than others. The smallest infinity is the cardinality of the natural numbers. We say that any set with such a cardinality is countable, since its elements can… Continue reading Paper Review: Is the Dream Solution of the Continuum Hypothesis Attainable?

# Tag: set theory

## Paper Review: Learnability can be undecideable

"Learnability can be undecideable" argues that the current mathematical frameworks we use to understand learnability are deeply flawed. It has been making big waves in the machine learning community, due to its rather spicy thesis. Thus, I figured it would be a good paper for me to review, and to explain its argument and implications.… Continue reading Paper Review: Learnability can be undecideable