Blog

  • Exploring Axioms: My Journey in Mathematical Reasoning

    I haven’t been getting much sleep lately. Laying in my bed thinking about arbitrary topics is how I spent the vast majority of my time. Throughout this time, I thought of many idea. One of which being that I should prove all the math theorems using only axioms and pure reasoning. It sounds crazy, but I need to spend my time doing something intellectually stimulating and I think this could really improve my Intuition on the subject. Using this blog, I could publish all my work so you can see it too. I find it fascinating that so many complex theorems are the result of a few axioms and a lot of reasoning. Speaking of, I would post said axioms and laws of reasoning and work my way up from those axioms as far as I can get. I’ll try to make the process as organic as possible (Meaning not referencing material unless I’m really stumped on how to proceed). I’m still unsure about how I want to share my work, but I’ll definitely make sure it reaches a broad audience. I’ve also gained an interest in philosophy branches outside of epistemology. I am especially interested in reading books by Friedrich Nietzsche and Albert Camus (Who I first learned about in school through “The Stranger”). I look forward to posting my interpretations on these books as well. You should be expecting an entry on said philosophers late next week (around Thursday or Friday). I look forward to reading these famous pieces of literature. I hope to gain some creative insights which challenge my beliefs and perception of the world as I make my way through Nietzsche’s and Camus’s works.

  • Why I am interested in Epistemology?

    I’m sitting at my desk trying to solve this math problem right in front of me. “Just think”, I say to myself. It wasn’t a difficult problem, but my brain was making the correction connections in order to solve it. Over the course of an hour, my annoyance grew until I gave up and looked at the solution. The problem I missed was very abstract and, although the solution was easy to understand, it required a large leap in logic in order to be solved. “How are people able to think of these solutions”, I thought to myself. Little did I know, from here on out, this question would plague me for a very long amount of time. Solving problems in school is easy, you’re taught to memorize the solution and you can just apply that solution to the same problems which you are given on a quiz. However, outside of school, I had the hobby of going on the internet in search of puzzles and other brain teasers. As this question lingered in my head, I would surprise myself by randomly coming to epiphanies on challenging problems. Seemingly, these ideas would pop up out of know where. One thing about me is that I strive to understand everything around me. This makes life difficult at times because my brain is constantly trying to churn solutions to incredibly abstract problems such as this. However, this trait also defines a large part of my character and interests. This catalyst, alongside small events, led to my interest in Epistemology and Cognitive Science. This blog is a way of sharing my findings with you guys as well as additional life lessons I learn along the way. I hope not only to share my sparse wisdom with you, but also improve and reflect upon my current beliefs. I also want to write with more prose. I’m terrible right now 😦

    “Judge a man by his questions rather than his answers.” – Voltaire