I am not one for too many resolutions and definitely not keen on revolutions. Revolutions are always driven by the idea that there is an idealised utopia available and achievable, but which can only be reached by destruction of all the values of the past. Nothing is ever simple in this way. Life is full of complex relationships, promises, commitments, desires and motivations.
Last year, I developed an introduction to threshold concepts for the Higher Education Academy. It is now available online: https://www.heacademy.ac.uk/knowledge-hub/reflecting-threshold-concepts-introductory-tool Let me know what you think. I am always happy to talk about the applications of threshold concepts in education and for development in business settings. Contact me for more information.
Formal systems, studied by logicians, mathematicians, philosophers and others, are (usually) characterised by a specified and restricted set of symbols, rules for making statements from those symbols, plus rules for generating new statements. So from these basic rules and instructions, statements can be generated that are regarded as products of the system; they are called theorems.
I recently had a discussion with a friend about whether there could be life on Venus. I contended, rather dogmatically, that there could not, based on our current theories about how biological life is understood and the limits that there might be on the biochemical complexity possible in the universe. My friend replied that we do not know what forms that life could take in the rest of the universe and I could not possibly make such a claim. It occurred to me later that we were both right, but also that each of us had weaknesses in what we were saying.