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Moved my blog to https://medium.com/@krish.raghuram

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Peano’s Axioms and Propositional Logic

Scientists are curious folk. They are overjoyed when they are right, and they are happy even when they are wrong – for they see it as an opportunity to learn from their mistakes.

Nothing goes to the dustbin in science.

There is a big debate about whether mathematics can be considered as a science. The modern day notion is that it cannot, for science is about things that can be proved or disproved experimentally. But I have always considered math to be a part of science. For god’s sake, consider it as a honorary member. Without it, almost no branch of science would exist.

As some of you might have gleaned from the heading – today’s post is about math. It all started over dinner today, when me and my friends somehow started talking about erroneous proofs in mathematics.

Proving 2=1

Erroneous proofs in math, also called Mathematical Fallacies, have great pedagogic value. Consider this proof for “2 is equal to 1”,

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But is that the only mistake???
It most certainly is not – and the second mistake is the more interesting of the two.
Be warned – do not click on read more if you want to figure out the mistake yourself.
Also be warned – I do pure math, which is sometimes more dangerous than pure meth. Read on only if you are into it.

It is not often that you know something and Wikipedia doesn’t 😀

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Installing Latex in Linux behind IITG Proxy

B.Tech Project

A few months ago, around April 2017, I had to submit the report for my B.Tech Project.

The good news was, I had written my report in a Google Doc, well in advance.

The bad news was that I didn’t know that the report was to be in Latex.

But I still had 12 hours and I was confident in my ability to learn Latex and rewrite the report in that time. After all, I know C++, Java and Python. Compared to the “big three”, Latex is like HTML.

I love Linux. I know I say this in each post of mine, but I cant help it. But this is a story where Linux failed to help me I was not good enough to solve my problem using Linux.

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Using pigz(pig-zee) to compress files in parallel

The story – don’t worry, I kept it short this time

All the files from the past 4-5 years, which I usually dumped into folders haphazardly – had to be cleaned. And so I did.

At some point during the cleaning, I needed to compress some 10Gb of data. Being the Linux Lover I am, I was going to use the tar command. I wouldn’t write a blog about using the tar command normally. There are several websites which have examples for that. Read on to see what is pigz

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Using computers for their original purpose.

Well, computers were invented to perform mundane tasks, so everyone who knows how to use a computer should know how do automate file and folder operations right?

This is your opportunity to pick up a few tricks that will give you a boost towards being the top-geek.

When I need to automate something, I usually run some scripts. These are small pieces of code written in some language which will automate the task for me. Let me show you what’s up my sleeve.

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The concept of Joint-Probability

Probability

As a mathematical construct, probability is one of the few which feels intuitive. It’s not like Linear Algebra, which requires some imagination to think in n-dimensional spaces.

But… add another word in front of it, and you get something that seems to make no sense.

Yup. I took a Probability and Random Processes course in my undergrad, and Joint-Probability was the most difficult concept to wrap my head around. Let’s have a look at it through a unique example.

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