That is, is our mind geared to use math without our knowledge?
Reading academic writings from the biological and social sciences, I observed patterns of methods widely used in maths/statistics such as clustering, classifiers, variable concept and making use of variables to make comparisons.
I would like to formalise these observations since this would be useful to semi-automate the writing process.
Example: - Hi Paul! How are you? - Fine, thank you Lisa!
Lisa is asking a simple question, but seems she is trying make Paul to summarise her answer in only one word (Fine). In fact, Lisa is asking an open question, involving a lot of variables since Paul life has a ton of variables, e.g. If food was OK at work or if today was sunny. Paul has the ability to sum up all day variables in only one, that we can define as nominal and binary, being 'Fine' and 'so-so' the possibilities. Seems Lisa and Paul unconsciously have the ability to do some kind of PCA analysis, a common information reduction method. Since Paul is a shy guy, conversation stops here, but if Paul would be me, I will start talking about some of the day variables in order to have a more pleasant conversation.
Although not much elaborated, this example is simple and includes some mathematical concepts.