# Quince’s Blog

better lost in the daylight than lost in the dark

better lost in the daylight than lost in the dark

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Quince Pan

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by
Quince Pan

Tomorrow’s my Comparative Political Systems (CPS) exam. Well, it’s technically today since it’s 2:30 am now. It’s a 24-hour take-home exam, so I am not particularly worried about it. I don’t regularly maintain this blog; I write whenever I get into a literary mood, and that happens to be now. It’s a season of change: the start of 2022, a new semester, the four-month-old Londoner that I am realising that almost half the academic year is gone. Semester 1 flew by with moderate success, although I haven’t definitively wrapped it up yet (looking at you, exams). Using just my KI knowledge, extra reading during NS and six years’ worth of research skills I picked up in Hwa Chong, I clinched an 80/100 for my Political and Economic Philosophy (PEP) summative essay on Isaiah Berlin: Instructor’s Feedback: The author has produced an outstanding piece of work. It is philosophically rigorous, well-argued, and innovative. It reaches well beyond the set texts into the academic debate, and buttresses

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Quince Pan

I kinda figured it out. Maybe. Maybe not. But probably. I will not specialise in Economics. This term, Year 1 Semester 1, I am taking four modules: 4AANA102 Introduction to Philosophy I: Logic, Ethics (Julien Dutant, Winnie Ma) 4SSPP110 Political and Economic Philosophy (Federica Carugati, Thomas Rowe) 4SSPP103 Comparing Political Systems (Damien Bol, Fredrick Ajwang) 4SSPP105 Principles of Economics (Maia King, Marco Giani) I remember catching up with Ms Phay at a Sixth Avenue sandwich café early this year, and I told her my plans and why I chose to study Philosophy, Politics and Economics. In High School, my favourite subjects were literature and mathematics and my most abhorred ones were chemistry and history, defying the standard art–science dichotomy. At the end of Secondary 2 when I refused to join HCI’s Humanities Programme or Science & Math Talent Programme, I was asked: Why? Which side was I on? I answered that I loved to dabble in both. Fast forward two years: when it was

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Quince Pan

It’s 7:45 pm on the 7 th of November. Autumn is noticeably giving way to winter, with the sun setting at half past four and temperatures hovering around 10°C. I am sitting at Table 53 at the Goodman’s Field Wetherspoons after having a grilled chicken burger for dinner. Since I moved to London a month and a half ago, I never felt the serendipity and inspiration to write. But as I sip at my pint, the vibes are pushing me in the right direction. Earlier today, I booked my Vaccinated Travel Lane (VTL) flight to Singapore for the December break. The cheapest option for my travel dates was on Air France via Paris. Not bad, I thought; a croissant and coffee within the Charles de Gaulle transit area would be nice. So, I booked it and set myself up for two and a half weeks back on my tropical island catching up with friends and family; maybe studying at the National Library in preparation for the January exams. This past week was Reading Week, which I spent on a trip to Málaga, Spain, with som

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Quince Pan

Identities, even in the form of an email address, assure me of my place in the world and motivate me. It is an inspiring privilege to wear the weight of an institution like an Athenian himation. Do not underestimate the power exuded by meagre glyphs in the address bar; it invites others to pause and pay attention. I was formerly 131416w@student.hci.edu.sg and quince_yq_pan@spf.gov.sg . Since Tuesday, 17 August 2021, I took on a new identity. Neither the anonymous qp8888@ox.ac.uk nor the look-at-my-matriculation-year quince.pan.21@ucl.ac.uk — phantoms of what could have been. But the legitimate, professional, proper quince.pan@kcl.ac.uk . One cannot distinguish between student and staff as the email address nomenclature is the same. This is immensely invigorating. Every time I open Outlook, I am reminded that the professors and I are the same in style, if not substance. I can achieve whatever they have achieved. I’ve got one foot in the door, and that fact is stamped on every

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Quince Pan

On 16 June 2021, I did some mathematics for fun and obtained this result. I explained the proof to my viewers on Instagram Stories that same day, but I only decided to publish it here on my blog today. MathJax works wonders! Consider \(a,b,k \in \mathbb{Z}^{+}\) with \(a < b \). We observe that: \begin{equation*} \begin{split} \sum_{k=a}^{b-1} \sqrt{\frac{1}{k}} - \sum_{k=a+1}^{b} \sqrt{\frac{1}{k}} = \sqrt{\frac{1}{a}} - \sqrt{\frac{1}{b}} \end{split} \end{equation*} By trapezoidal approximation and the convexity of \(\sqrt{\frac{1}{x}}\), \(\forall x \in \mathbb{R}\) and \(\forall n \in \mathbb{Z}^{+}\), \begin{equation*} \begin{split} \int_{n}^{n+1}\sqrt{\frac{1}{x}} \; \mathrm{d}x < \frac{1}{2} \Bigg ( \sqrt{\frac{1}{n}} + \sqrt{\frac{1}{n+1}} \Bigg ) \end{split} \end{equation*} Therefore, \begin{equation*} \begin{split} \int_{a}^{b}\sqrt{\frac{1}{x}} \; \mathrm{d}x < \frac{1}{2} \Bigg ( \sum_{k=a}^{b-1} \sqrt{\frac{1}{k}} + \sum_{k=a+1}^{b} \sqrt{\frac{1}{k}} \Big

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