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In the 17th century, Leibniz dreamed of a machine that could calculate ideas

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41–50 of 53 posts

Re: In the 17th century, Leibniz dreamed of a machine that could calculate ideas

#41
leibniz' project always reminded me of word2vec

ada lovelace was warned off poetry because her mom hated her dad, and pushed into science, and so she developed 'poetical science' aka general computing. (she was also inspired by embroidery card technology I think)

Re: In the 17th century, Leibniz dreamed of a machine that could calculate ideas

#42
They're very verbose and dense, and it strikes me that Neal Stephenson more or less wrote the three books just for himself, but it's worth checking out his "The Baroque Cycle" trilogy, culminating with "The System of the World."

It's fiction, but it's very eye-opening and mind-teasing fiction that puts a lot of contemporary moving parts in motion at the same time. And the books basically revolve around the Newton-Leibniz feud over inventing calculus.

Re: In the 17th century, Leibniz dreamed of a machine that could calculate ideas

#43
post #2

Leibniz is definitely an interesting person. I studied about him in philosophy, but in grad school I focused more on his contribution to the ideas of computers. Leibniz and Pascal is a good starting point in history.

What about the other 4 billion years?

What, organic computing?

Re: In the 17th century, Leibniz dreamed of a machine that could calculate ideas

#44
post #26

> Leibniz’s central argument was that all human thoughts, no matter how complex, are combinations of basic and fundamental concepts, in much the same way that sentences are combinations of words, and words combinations of letters. He believed that if he could find a way to symbolically represent these fundamental concepts and develop a method by which to combine them logically, then he would be able to generate new t…

Yes, I first read about Leibniz’s machine from the wikipedia page on the Entscheidungsproblem. The research on this problem eventually led to the invention of Lambda calculus and the Turing machine (formal languages for computing), which proved that such a project is impossible, as on some inputs they infinitely recurse and can’t output True or False. https://en.wikipedia.org/wiki/Entscheidungsproblem The source is M…

It did not prove the idea impossible. Just trivial/naive versions of the idea which ignore the halting problem or incompleteness theorem.

Re: In the 17th century, Leibniz dreamed of a machine that could calculate ideas

#45
post #2

Leibniz is definitely an interesting person. I studied about him in philosophy, but in grad school I focused more on his contribution to the ideas of computers. Leibniz and Pascal is a good starting point in history.

What about the other 4 billion years?

What, you’re writing off the other nine?

Re: In the 17th century, Leibniz dreamed of a machine that could calculate ideas

#46
post #26

> Leibniz’s central argument was that all human thoughts, no matter how complex, are combinations of basic and fundamental concepts, in much the same way that sentences are combinations of words, and words combinations of letters. He believed that if he could find a way to symbolically represent these fundamental concepts and develop a method by which to combine them logically, then he would be able to generate new t…

Yes, I first read about Leibniz’s machine from the wikipedia page on the Entscheidungsproblem. The research on this problem eventually led to the invention of Lambda calculus and the Turing machine (formal languages for computing), which proved that such a project is impossible, as on some inputs they infinitely recurse and can’t output True or False. https://en.wikipedia.org/wiki/Entscheidungsproblem The source is M…

My brain also infinitely recurses on some problems and can't output True or False. Guess my brain is impossible.

???

Re: In the 17th century, Leibniz dreamed of a machine that could calculate ideas

#47
post #42

They're very verbose and dense, and it strikes me that Neal Stephenson more or less wrote the three books just for himself, but it's worth checking out his "The Baroque Cycle" trilogy, culminating with "The System of the World." It's fiction, but it's very eye-opening and mind-teasing fiction that puts a lot of contemporary moving parts in motion at the same time. And the books basically revolve around the Newton-Lei…

The Baroque Cycle was the first thing I thought of too. Leibniz’s thinking about combinatoric representation of ideas makes a brief appearance in one of the many digressions in the trilogy.

Re: In the 17th century, Leibniz dreamed of a machine that could calculate ideas

#48
post #42

They're very verbose and dense, and it strikes me that Neal Stephenson more or less wrote the three books just for himself, but it's worth checking out his "The Baroque Cycle" trilogy, culminating with "The System of the World." It's fiction, but it's very eye-opening and mind-teasing fiction that puts a lot of contemporary moving parts in motion at the same time. And the books basically revolve around the Newton-Lei…

The Baroque Cycle was the first thing I thought of too. Leibniz’s thinking about combinatoric representation of ideas makes a brief appearance in one of the many digressions in the trilogy.

> combinatoric representation of ideas

Pretty sure Stephen Wolfram invented those.

Re: In the 17th century, Leibniz dreamed of a machine that could calculate ideas

#50
"Taking the idea a step further, Llull invented what he called a volvelle, a circular paper mechanism with increasingly small concentric circles on which were written symbols representing the attributes of God."

So you are saying that Engineer's Disease is at least 700 years old.

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