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TagStephen Wolfram

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The Chaitin Interview V: Chaitin’s Number

Listen in as Robert J. Marks picks the mind of Professor Gregory Chaitin about Chaitin’s number – a number that has been called “mystical and magical”. How does this number work? Why do some people call it “Chaitin’s constant”? What is the usefulness of philosophizing in mathematics? Show Notes 00:27 | Introducing Gregory Chaitin and Chaitin’s number 01:32 | Chaitin’s…

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How Stephen Wolfram Revolutionized Math Computing

Wolfram has not made computers creative but he certainly took a lot of the drudgery out of the profession

In last week’s podcast, “The Chaitin Interview III: The Changing Landscape for Mathematics,” Walter Bradley Center director Robert J. Marks interviewed mathematician and computer scientist Gregory Chaitin on many things mathematical, including why math or engineering geniuses (Elon Musk came to mind, of course) can’t just follow the rules. This week, we look at Stephen Wolfram’s new program that checks your hard math. What can — and can’t — it do for mathematicians? https://episodes.castos.com/mindmatters/Mind-Matters-126-Gregory-Chaitin.mp3 This portion begins at 13:22 min. A partial transcript, Show Notes, and Additional Resources follow. Gregory Chaitin: Now, there is what I regard as a piece of AI, so it might be interesting to talk about it. My friend Stephen Wolfram (pictured), the system he’s created,…

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The Myth of “No Code” Software (Part III)

The complexities of human language present problems for natural language programming

Many visions of the future include humans programming through “natural language” — where humans merely state what they want and computers “figure out” how to write code that does what is requested. While there have been many demos that have led people to believe that this will be possible, the truth is, the idea has so many problems with it, it is hard to know where to begin. Let’s begin with the successes of natural language programming. Wolfram|Alpha is probably the best-known natural language programming system. You type in a command in natural English, and Wolfram|Alpha converts that command into native Mathematica code and runs it. In 2010, Stephen Wolfram announced that Wolfram|Alpha signified that natural language programming really was…