Engelska

When we learn about abstract mathematical concepts - from prime numbers and fractals to aspects of calculus - the most common question is often: when on earth will I need this? To many of us, so-called 'pure' mathematics is downright baffling. Yet these concepts are what underpin the world we live in, from internet security to the transmission of radio waves. When you start to think like a mathematician, the secrets of technology and modern life suddenly make sense. Junaid Mubeen regards mathematics as a collection of thinking tools that can enrich the way we approach our everyday lives. In Think Like a Mathematician, he presents a catalogue of enlightening mathematical concepts. Some will be familiar from school, but the majority are ideas that readers will not have encountered before. And anyone - from mathematicians to self-proclaimed mathophobes - can learn from them. All of these ideas are easy to grasp, and a few may even reshape the way you see the world.

SEMT Volume I introduces the Structured Epistemic Model of Truth, a framework that unites logic, epistemology, and complexity theory to address core issues in bounded AI and knowledge verification. Drawing from Gödel, Turing, and modern AI debates, the book proposes a non-classical conception of truth suited to agents operating under cognitive and resource constraints. It redefines epistemic rigor for computationally limited reasoners.

Understanding and Using Advanced Statistics is a comprehensive, practical guide for postgraduate students advising how and when to use more advanced statistical methods. Perfect for students without a mathematical background, the authors refresh important basics such as descriptive statistics and research design as well as introducing essential upper-level techniques to cater for the advanced student. Key Features:- Comprehensive guide informing how to use a range of advanced statistical methods such as MANOVA, path analysis and logistical regression;- Inter-disciplinary: ideal for students studying upper level statistical methods in any subject across the social sciences;- Practical guide: case studies, further reading, key terms explained in order to help the non-mathematically orientated student get ahead with their research. Building on undergraduate statistical grounding, Understanding and Using Advanced Statistics provides the upper-level researcher with the knowledge of what advanced statistics do, how they should be used, and what their output means.

How Not To Be Wrong [Bok / Pocket]

Collected papers of Digital Phenomenology is a clarification of and development upon Digital Phenomenology. It includes "Concerning the weakest coherent formalization of methodological skepticism as a Bayesian updater" and "On the finitst Wolfram physics model", then there is an outline of finite content theory and mathematical notes in various areas. Digital Phenomenology itself is the study of a finitist (and therefore discrete) phenomenalism.

The paper is about formalizing methodological skepticism as a Bayesian updater, it is shown that the weakest coherent formal system, by ordinal analysis, is equivalent in strength to the formal system containing intuitionistic logic and finitist set theory, as the formal system containing them is able to construct a linear bounded automaton that can compute discrete Bayesian inference.

This is a clarification of and development upon my previous work. It includes a rework of "Concerning the weakest coherent formalization of methodological skepticism as a Bayesian updater" and "On the finitist Wolfram physics model", then there is an outline of finite content theory and mathematical notes in various areas. Digital phenomenology itself is the study of a finitist (and therefore discrete) phenomenalism.<br/><br/> It also includes my work on predictive liquid democracy, where liquid democracy is combined with prediction markets. The system allows for local satisfaction of Condorcet's jury theorem extended to multiple alternatives. See the part about predictive liquid democracy.