May 14, 2023
Paradox Festival
An event introducing the audience to the world of paradoxes in science and mathematics.
The Paradox festival is an event organised by Databased and the IISc ACM-W Student Chapter under the guidance of Prof. Pandurangan and the Kotak IISc AI ML Center. It aims to introduce the audience to the world of paradoxes, and how they are used in various fields of science and mathematics.
Berry's paradox
Presented by: Hridam Majumder and Sirjan Hansda
In this presentation of Berry's Paradox, we take a more general approach towards how we see and solve such paradoxes. We see how these kinds of self-referential paradoxes arise in certain language domains only, and the reason behind them doing so.
Cramer's Paradox
Presented by: Varivashya Poladi, Anishka Vaitla and Sannidhi V. Hebbar
The Cramer-Euler paradox is a mathematical paradox found within the realm of differential geometry. It presents a situation where the number of intersections between two curves of higher order in the plane can exceed the number of arbitrary points typically required to define one of those curves.
Is it all Incomplete?
Presented by: Anushka Dassi and Pinakin Choudhary
Gödel's theorem of incompleteness revolutionized our understanding of the foundation of mathematics, shook its limits of concreteness, and shattered the dreams of complete and consistent proof. 1 Line. 4 words. At the core of what broke mathematics: “This statement is False.”
"Just One More" Paradox
Presented by: Sahil Chaudhary and Mrigank Pawagi
Addiction to gambling is a paradoxical dance between fleeting wins and inevitable losses. In this presentation, we'll delve into this perplexing phenomenon, exploring why gamblers always feel the urge to play "just one more" despite the odds stacking against them.
Grelling-Nelson Paradox
Presented by: Naman Mishra and Indrayudh Das
Prepare to have your perception of language and logic turned on its head as you join us on a mind-twisting journey into the fascinating realm of the Grelling Nelson Paradox. Have you ever come across words that describe themselves? Words like "autological" and "heterological"?
Banach-Tarski Paradox
Presented by: Armaan Khetarpaul
The Banach Tarski Paradox was proposed by Stefan Banach and Alfred Tarski, is all about creating two identical objects from one (without cheating!) by using math! It's all about creating “something from nothing”. Believe it or not, it can help you create a Sun using a pea, knife, and a lot of math.
Gabriel's Horn Paradox
Presented by: Sanidhya Kaushik, Arnav Bhatt and Ayush Raina
In this thought-provoking video, we explore the mind-boggling world of a shape with infinite surface area but finite volume. Join us on an intellectual journey as we delve into the enigmatic paradox known as Gabriel's Horn, a trumpet-shaped object with a finite length but an infinitely expanding curve.
Sierpinski-Mazurkiewicz Paradox
Presented by: Maitreya Bhaduri and Ishaq Hamza
We give you a special lemon (possibly larger and any object you could think of) and chop it into pieces in a weird way, only to group them into two parts which we move around and magically obtain two lemons back at the chopping board.
Unexpected Hanging Paradox
Presented by: R.K. Shishir and Aditya Gupta
Prepare to be captivated as you join us to explore the enigmatic world of the Unexpected Hanging Paradox. Picture a prisoner on death row, facing an execution that will surprise even the keenest of minds. How can a seemingly certain outcome turn into an unexpected twist?