First, I am not talking about constructivism, where the only mathematical objects thought to be capable of proof are those that can actually be constructed by a finite number of steps. This approach leaves out all infinities, such as cardinal and ordinal infinite numbers, or as Georg Cantor named them transfinite numbers. It also leaves … More Can Mathematics Be Constructed?
This blog is my exploration of what belief is. I find that belief is multifaceted and admits of gradations. The philosophical study of beliefs comes under the field of study called epistemology (theory of knowledge), which is just one aspect of what makes up knowledge. Knowledge is usually defined as justified true belief. There are … More Can You Believe That?