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https://writings.stephenwolfram.com/2017/11/what-is-a-computational-essay/ What Is a Computational Essay?—Stephen Wolfram Writings wolfram writings computational essay https://writings.stephenwolfram.com/?source=nav Stephen Wolfram Writings Articles by Stephen Wolfram covering artificial intelligence, computational science and computational thinking, data science, education, future and historical... stephen wolfram writings https://writings.stephenwolfram.com/2020/12/combinators-a-centennial-view/ Combinators: A Centennial View—Stephen Wolfram Writings 100 years after combinators were first presented, Stephen Wolfram shows how his computational paradigm moves closer to the idea of combinators through a series... wolfram writings combinators centennial https://writings.stephenwolfram.com/2023/09/expression-evaluation-and-fundamental-physics/ Expression Evaluation and Fundamental Physics—Stephen Wolfram Writings A deep correspondence is discussed between the computational evaluation of symbolic expressions and recent results on discrete models of fundamental physics. wolfram writings expression evaluation fundamental https://writings.stephenwolfram.com/2020/12/combinators-and-the-story-of-computation/ Combinators and the Story of Computation—Stephen Wolfram Writings A historical look at the development of combinators within the field of mathematics, their importance in developing modern computation, and their use in... wolfram writings combinators story https://writings.stephenwolfram.com/2025/08/i-have-a-theory-too-the-challenge-and-opportunity-of-avocational-science/ “I Have a Theory Too”: The Challenge and Opportunity of Avocational Science—Stephen Wolfram Writings Stephen Wolfram encourages amateur scientists to channel their passion, truly learn the subject that interests them and then systematically explore the... wolfram writings theory challenge opportunity https://writings.stephenwolfram.com/2019/02/seeking-the-productive-life-some-details-of-my-personal-infrastructure/ Seeking the Productive Life: Some Details of My Personal Infrastructure—Stephen Wolfram Writings Some of Stephen Wolfram’s “productivity hacks” to make his days and projects more productive. Daily life, desk environment, outside the office, presentation... wolfram writings seeking productive life details https://writings.stephenwolfram.com/2017/11/what-is-a-computational-essay/?source=home What Is a Computational Essay?—Stephen Wolfram Writings wolfram writings computational essay https://writings.stephenwolfram.com/category/life-and-times/ Life & Times—Stephen Wolfram Writings Categories of articles by Stephen Wolfram wolfram writings life https://writings.stephenwolfram.com/2021/11/the-concept-of-the-ruliad/ The Concept of the Ruliad—Stephen Wolfram Writings Introducing The Ruliad—by definition the biggest object in metascience... the infinite limit of all abstraction, encompassing all possible views of our... wolfram writings concept https://writings.stephenwolfram.com/2017/12/what-do-i-do-all-day-livestreamed-technology-ceoing/ What Do I Do All Day? Livestreamed Technology CEOing—Stephen Wolfram Writings Get a peek into decision making with Stephen Wolfram as he livestreams internal meetings. How he goes about problem solving and product design. wolfram writings day livestreamed technology https://writings.stephenwolfram.com/category/ruliology/?source=home Ruliology—Stephen Wolfram Writings Categories of articles by Stephen Wolfram wolfram writings https://writings.stephenwolfram.com/2023/02/what-is-chatgpt-doing-and-why-does-it-work/?source=home What Is ChatGPT Doing … and Why Does It Work?—Stephen Wolfram Writings Stephen Wolfram explores the broader picture of what's going on inside ChatGPT and why it produces meaningful text. Discusses models, training neural nets,... wolfram writings chatgpt work https://writings.stephenwolfram.com/2020/09/the-empirical-metamathematics-of-euclid-and-beyond/ The Empirical Metamathematics of Euclid and Beyond—Stephen Wolfram Writings Surprising finds from the Wolfram Physics Project trigger a forming theory of metamathematics. These finds prompt Stephen Wolfram to re-contemplate empirical... wolfram writings empirical metamathematics euclid https://writings.stephenwolfram.com/page/2/?source=home Stephen Wolfram Writings Articles by Stephen Wolfram covering artificial intelligence, computational science and computational thinking, data science, education, future and historical... stephen wolfram writings https://writings.stephenwolfram.com/2026/01/what-is-ruliology/ What Is Ruliology?—Stephen Wolfram Writings Stephen Wolfram explains the science of ruliology--studying what abstract rules do--and integral applications of the science in his own work. wolfram writings https://writings.stephenwolfram.com/2003/12/cellular-automata-from-christmas-1983/ Cellular Automata from Christmas 1983—Stephen Wolfram Writings Christmas-y pictures built from simple rules of cellular automaton. cellular automata wolfram writings christmas https://writings.stephenwolfram.com/2019/05/a-world-run-with-code/ A World Run with Code—Stephen Wolfram Writings What the world will be like when computational intelligence and computational contracts are ubiquitous. Transcript of a talk by Stephen Wolfram from a 2019... world run wolfram writings https://writings.stephenwolfram.com/category/historical-perspectives/ Historical Perspectives—Stephen Wolfram Writings Categories of articles by Stephen Wolfram wolfram writings historical https://writings.stephenwolfram.com/2019/10/the-new-world-of-notebook-publishing/?source=home The New World of Notebook Publishing—Stephen Wolfram Writings Create a computational notebook document on the desktop or in the cloud, press a button and publish for free to the Wolfram Cloud where the content can be... new world wolfram writings notebook https://writings.stephenwolfram.com/2009/05/7-years-of-nks-and-its-first-killer-app/ 7 years of NKS—and its first killer app—Stephen Wolfram Writings The Wolfram|Alpha computation engine is the most notable application from Stephen Wolfram's 'A New Kind of Science' seven years ago. 7 years wolfram writings first killer https://writings.stephenwolfram.com/2024/08/whats-really-going-on-in-machine-learning-some-minimal-models/ What’s Really Going On in Machine Learning? Some Minimal Models—Stephen Wolfram Writings Stephen Wolfram explores minimal models and their visualizations, aiming to explain the underneath functionality of neural nets and ultimately machine learning. really going machine learning wolfram writings minimal https://writings.stephenwolfram.com/category/multicomputation/ Multicomputation—Stephen Wolfram Writings Categories of articles by Stephen Wolfram wolfram writings https://writings.stephenwolfram.com/2024/09/nestedly-recursive-functions/ Nestedly Recursive Functions—Stephen Wolfram Writings Always interested in exploring recursive functions, Stephen Wolfram takes a fresh look using the most modern Wolfram Language tools and finds new surprises. wolfram writings recursive https://writings.stephenwolfram.com/2024/03/can-ai-solve-science/ Can AI Solve Science?—Stephen Wolfram Writings Stephen Wolfram explores the potential--and limitations--of AI in science. See cases in which AI will be a useful tool, and in others a less ideal tool. ai solve wolfram writings science https://writings.stephenwolfram.com/2019/10/announcing-the-rule-30-prizes/ Announcing the Rule 30 Prizes—Stephen Wolfram Writings Wolfram offers $30,000 in prizes for the answers to three basic questions about the complexity of cellular automaton rule 30. Does the center column always... rule 30 wolfram writings announcing https://writings.stephenwolfram.com/2016/10/computational-law-symbolic-discourse-and-the-ai-constitution/ Computational Law, Symbolic Discourse and the AI Constitution—Stephen Wolfram Writings Stephen Wolfram on using a symbolic discourse language to create legal contracts and even constitutions that are smart, computational, and unambiguous, and... computational law wolfram writings symbolic discourse ai https://writings.stephenwolfram.com/category/mathematics/ Mathematics—Stephen Wolfram Writings Categories of articles by Stephen Wolfram wolfram writings https://writings.stephenwolfram.com/category/biology/ Biology—Stephen Wolfram Writings Categories of articles by Stephen Wolfram wolfram writings https://writings.stephenwolfram.com/2015/12/untangling-the-tale-of-ada-lovelace/ Untangling the Tale of Ada Lovelace—Stephen Wolfram Writings Stephen Wolfram shares what he learned in researching Ada Lovelace's life, writings about the Analytical Engine, and computation of Bernoulli numbers. wolfram writings untangling tale ada https://writings.stephenwolfram.com/2016/04/who-was-ramanujan/ Who Was Ramanujan?—Stephen Wolfram Writings Story of Srinivasa Ramanujan, from his early self-study of math to the pivotal letter that opened up opportunities for writing important theorems and papers. wolfram writings ramanujan https://writings.stephenwolfram.com/2019/05/what-weve-built-is-a-computational-language-and-thats-very-important/ What We’ve Built Is a Computational Language (and That’s Very Important!)—Stephen Wolfram Writings Is the Wolfram Language a computer programming language? Stephen Wolfram explains why it is, rather, a computational language--a way to communicate... wolfram writings built computational language important https://writings.stephenwolfram.com/2007/10/simple-turing-machines-universality-encodings-etc/ Simple Turing Machines, Universality, Encodings, etc.—Stephen Wolfram Writings Stephen Wolfram chimes in on a discussion prompted by the Wolfram 2,3 Turing Machine Prize. Insights into simple universal Turing machines, the definition of... turing machines wolfram writings simple universality encodings https://writings.stephenwolfram.com/category/big-picture/ Big Picture—Stephen Wolfram Writings Categories of articles by Stephen Wolfram wolfram writings big https://writings.stephenwolfram.com/2017/03/two-hours-of-experimental-mathematics/ Two Hours of Experimental Mathematics—Stephen Wolfram Writings Stephen Wolfram uses powerful computational tools to make real-time discoveries in math at Math Encounters events at National Museum of Mathematics. two hours wolfram writings experimental https://writings.stephenwolfram.com/category/software-design/ Software Design—Stephen Wolfram Writings Categories of articles by Stephen Wolfram wolfram writings software https://writings.stephenwolfram.com/category/companies-and-business/ Companies & Business—Stephen Wolfram Writings Categories of articles by Stephen Wolfram wolfram writings companies https://writings.stephenwolfram.com/2012/03/the-personal-analytics-of-my-life/ The Personal Analytics of My Life—Stephen Wolfram Writings Utilizing data analysis capabilities in Wolfram|Alpha Pro, Stephen Wolfram looks at his quantified self based on his large collection of lifelogging data. wolfram writings personal analytics https://writings.stephenwolfram.com/category/mathematica/ Mathematica—Stephen Wolfram Writings Categories of articles by Stephen Wolfram wolfram writings https://writings.stephenwolfram.com/2024/12/foundations-of-biological-evolution-more-results-more-surprises/ Foundations of Biological Evolution: More Results & More Surprises—Stephen Wolfram Writings Additional implications for the foundations of biological evolution found in the adaptive cellular automaton model that Stephen Wolfram introduced in an... biological evolution wolfram writings foundations results https://writings.stephenwolfram.com/2017/07/the-practical-business-of-ontology-a-tale-from-the-front-lines/ The Practical Business of Ontology: A Tale from the Front Lines—Stephen Wolfram Writings Philosophy meets chemistry in discussing and deciding how to handle chemicals and chemical structures in the design of the Wolfram Language. practical business wolfram writings ontology tale front https://writings.stephenwolfram.com/2004/05/long-range-cellular-automata/ Long-Range Cellular Automata—Stephen Wolfram Writings Results from Stephen Wolfram's investigation into a student's question 'does increasing the range of a cellular automaton have a big effect on its behavior'. long range wolfram writings cellular https://writings.stephenwolfram.com/2015/11/how-should-we-talk-to-ais/ How Should We Talk to AIs?—Stephen Wolfram Writings Stephen Wolfram discusses the symbolic Wolfram Language as a potential ideal bridge between human understanding and AI. wolfram writings talk ais https://writings.stephenwolfram.com/category/philosophy/ Philosophy—Stephen Wolfram Writings Categories of articles by Stephen Wolfram wolfram writings https://writings.stephenwolfram.com/2010/10/the-poetry-of-function-naming/ The Poetry of Function Naming—Stephen Wolfram Writings Articles by Stephen Wolfram covering artificial intelligence, computational science and computational thinking, data science, education, future and historical... wolfram writings poetry function https://writings.stephenwolfram.com/2025/05/what-if-we-had-bigger-brains-imagining-minds-beyond-ours/ What If We Had Bigger Brains? Imagining Minds beyond Ours—Stephen Wolfram Writings Stephen Wolfram explores how the number of neural connections affects capabilities like language and abstraction. How far we could go accounting for neural... minds beyond wolfram writings bigger brains imagining https://writings.stephenwolfram.com/2021/03/what-is-consciousness-some-new-perspectives-from-our-physics-project/ What Is Consciousness? Some New Perspectives from Our Physics Project—Stephen Wolfram Writings Stephen Wolfram sketches some preliminary ideas on the complex subject of consciousness and its connection to his research into the fundamental theory of... new perspectives wolfram writings consciousness physics https://writings.stephenwolfram.com/category/education/ Education—Stephen Wolfram Writings Categories of articles by Stephen Wolfram wolfram writings https://writings.stephenwolfram.com/category/life-science/ Life Science—Stephen Wolfram Writings Categories of articles by Stephen Wolfram wolfram writings life https://writings.stephenwolfram.com/category/language-and-communication/ Language & Communication—Stephen Wolfram Writings Categories of articles by Stephen Wolfram wolfram writings language https://writings.stephenwolfram.com/2023/10/how-to-think-computationally-about-ai-the-universe-and-everything/?source=home How to Think Computationally about AI, the Universe and Everything—Stephen Wolfram Writings In his TED Talk, Stephen Wolfram covers the emergence of space by the application of computational rules to spacetime, gravity and quantum mechanics to AI and... wolfram writings think computationally ai universe https://writings.stephenwolfram.com/2018/01/showing-off-to-the-universe-beacons-for-the-afterlife-of-our-civilization/ Showing Off to the Universe: Beacons for the Afterlife of Our Civilization—Stephen Wolfram Writings What sign of existence shows the specialness of humans? Stephen Wolfram examines possible beacons to send on a spacecraft to communicate meaning outside of our... wolfram writings showing universe beacons afterlife https://writings.stephenwolfram.com/2018/06/weve-come-a-long-way-in-30-years-but-you-havent-seen-anything-yet/ We’ve Come a Long Way in 30 Years (But You Haven’t Seen Anything Yet!)—Stephen Wolfram Writings In celebration of Mathematica’s 30th anniversary, Stephen Wolfram reflects on his initial goal to create a computation system that would stand the test of... long way 30 years seen anything wolfram writings come https://writings.stephenwolfram.com/terms/ Terms of Use—Stephen Wolfram Writings Stephen Wolfram Personal Blog wolfram writings terms https://writings.stephenwolfram.com/2025/02/towards-a-computational-formalization-for-foundations-of-medicine/ Towards a Computational Formalization for Foundations of Medicine—Stephen Wolfram Writings Stephen Wolfram takes the first steps in developing a medical metamodel framework for studying and formalizing the abstract foundations of medicine. wolfram writings towards computational formalization foundations https://writings.stephenwolfram.com/2012/07/a-moment-for-particle-physics-the-end-of-a-40-year-story/ A Moment for Particle Physics: The End of a 40-Year Story?—Stephen Wolfram Writings With the announcement of the Higgs particle Stephen Wolfram reflects on interesting finds in particle physics, and his involvement, over the past 40 years. particle physics 40 year wolfram writings moment end https://writings.stephenwolfram.com/2022/06/alien-intelligence-and-the-concept-of-technology/ Alien Intelligence and the Concept of Technology—Stephen Wolfram Writings Learn how alien intelligence connects to human intelligence through science and technology using the Principle of Computational Equivalence, the ruliad, rulial... wolfram writings alien intelligence concept https://writings.stephenwolfram.com/2017/05/a-new-kind-of-science-a-15-year-view/ A New Kind of Science: A 15-Year View—Stephen Wolfram Writings Stephen Wolfram reflects on the impact and future of his discoveries published 15 years ago. How the computational universe applies more broadly and abstractly. new kind science 15 wolfram writings year https://writings.stephenwolfram.com/category/ruliology/ Ruliology—Stephen Wolfram Writings Categories of articles by Stephen Wolfram wolfram writings https://writings.stephenwolfram.com/2008/01/ten-thousand-hours-of-design-reviews/ Ten Thousand Hours of Design Reviews—Stephen Wolfram Writings Stephen Wolfram shares how 10,000+ hours of software design analysis reviews have resulted in a Mathematica that has remained consistent and coherent. ten thousand wolfram writings hours design https://writings.stephenwolfram.com/2021/06/1920-2020-and-a-20000-prize-announcing-the-s-combinator-challenge/ 1920, 2020 and a $20,000 Prize: Announcing the S Combinator Challenge—Stephen Wolfram Writings Wolfram offers $20,000 prize for proving, or disproving, that the S combinator alone can support universal computation. 20 000 wolfram writings 1920 2020 prize https://writings.stephenwolfram.com/2016/04/my-life-in-technology-as-told-at-the-computer-history-museum/ My Life in Technology—As Told at the Computer History Museum—Stephen Wolfram Writings Transcript of a Stephen Wolfram talk from March 4, 2016, at the Computer History Museum, Mountain View, California. Covers the history of technology and... computer history wolfram writings life told https://writings.stephenwolfram.com/page/2/?source=nav Stephen Wolfram Writings Articles by Stephen Wolfram covering artificial intelligence, computational science and computational thinking, data science, education, future and historical... stephen wolfram writings https://writings.stephenwolfram.com/all-by-date/ All by Date—Stephen Wolfram Writings Collection of articles by Stephen Wolfram sorted by date. Topics include artificial intelligence, computational science and computational thinking, data... wolfram writings https://writings.stephenwolfram.com/2023/03/chatgpt-gets-its-wolfram-superpowers/ ChatGPT Gets Its “Wolfram Superpowers”!—Stephen Wolfram Writings Wolfram plugin gives computationally accurate answers to ChatGPT queries using Wolfram's data knowledgebase and language. Custom visualizations are given as... wolfram writings chatgpt gets https://writings.stephenwolfram.com/2023/02/computational-foundations-for-the-second-law-of-thermodynamics/ Computational Foundations for the Second Law of Thermodynamics—Stephen Wolfram Writings Stephen Wolfram applies lessons learned from the Wolfram Physics Project to construct a proper framework to explain why--and to what extent--the Second Law of... second law wolfram writings computational foundations https://writings.stephenwolfram.com/2016/10/a-short-talk-on-ai-ethics/ A Short Talk on AI Ethics—Stephen Wolfram Writings Video and transcript from Stephen Wolfram’s talk on the ethics of artificial intelligence at the NYU Philosophy Department’s Center for Mind, Brain and... short talk wolfram writings ai https://writings.stephenwolfram.com/2023/06/introducing-chat-notebooks-integrating-llms-into-the-notebook-paradigm/ Introducing Chat Notebooks: Integrating LLMs into the Notebook Paradigm—Stephen Wolfram Writings Wolfram expands Notebooks, integrating LLM functionality into the new chat cell and Chat Notebook. Stephen Wolfram explains how chat-enabled and chat-driven... wolfram writings introducing chat notebooks integrating https://writings.stephenwolfram.com/2022/06/games-and-puzzles-as-multicomputational-systems/ Games and Puzzles as Multicomputational Systems—Stephen Wolfram Writings Explore multicomputational systems and quantum mechanics through games and puzzles like tic-tac-toe, Icosian game, Geography Game, etc. See how the complexity... wolfram writings games puzzles https://writings.stephenwolfram.com/category/computational-science/ Computational Science—Stephen Wolfram Writings Categories of articles by Stephen Wolfram wolfram writings computational https://writings.stephenwolfram.com/2025/01/who-can-understand-the-proof-a-window-on-formalized-mathematics/ Who Can Understand the Proof? A Window on Formalized Mathematics—Stephen Wolfram Writings Stephen Wolfram discusses understanding proofs discovered using automated theorem proving. Based on Wolfram’s proof of the simplest axioms of logic of Boolean... wolfram writings understand proof window formalized https://writings.stephenwolfram.com/2013/06/there-was-a-time-before-mathematica/ There Was a Time before Mathematica…—Stephen Wolfram Writings Articles by Stephen Wolfram covering artificial intelligence, computational science and computational thinking, data science, education, future and historical... wolfram writings time https://www.stephenwolfram.com/publications/ Publications, Writings and Speeches by Stephen Wolfram Publications, posts, presentations and other works by Stephen Wolfram, with links to full text and videos stephen wolfram publications writings speeches https://writings.stephenwolfram.com/2017/04/launching-the-wolfram-data-repository-data-publishing-that-really-works/ Launching the Wolfram Data Repository: Data Publishing that Really Works—Stephen Wolfram Writings wolfram data repository launching publishing really writings https://writings.stephenwolfram.com/2026/02/making-wolfram-tech-available-as-a-foundation-tool-for-llm-systems/ Making Wolfram Tech Available as a Foundation Tool for LLM Systems—Stephen Wolfram Writings Wolfram's Foundation Tool supplements LLM foundation models with deep computation and precise knowledge. CAG (computation-augmented generation) underlies... wolfram tech making available foundation tool https://www.wolfram-media.com/series/stephen-wolfram-epubs/ Wolfram Media: Stephen Wolfram Writings ePub Series Library of downloadable writings by Stephen Wolfram covering physics, computation, AI and philosophy. Each clearly makes connections between scientific and... wolfram media stephen writings epub series