With so much note taking apps nowadays, I can't understand why does anyone still write notes with pen and paper. You need to bring the notepad, book or that paper to retrieve that information, and most of the time you don't have it in hand. While my phone almost always reachable and you carry when you go out. For those still like to do handwriting, there's many app does that and they can even convert it to text notes.
So, if you still write notes with pen and paper, why?
A6 notebook + mechanical pencil are an indispensable part of my travel kit. i always worry that i will lose my phone at some point so important addresses are written there.
pen and paper can be very useful in places with a different language/writing system. there was a time i looked for a specific product that i had a difficulty describing. fortunately, i met a local who can speak english and asked him to write down the local name of the said product. it can be done on the phone but i find that older people are more comfortable writing with a pen and paper.
for everyday, i use my phone s native notes app for quick jots but still carry with me a notebook and pencil.