Mostly no: we did find some non-halting TMs that required new proofs, but none of those had the flavor of new math, per se. Indeed, we found that all but 30 of them could be proved by finite automata methods, meaning…
As a member of these chats: it's often like hitting on an idea on a break-room blackboard and working it out, except the interaction can be cited. That's a positive change, if we can follow through and add to the…
This program is at least related to what you want: https://googology.fandom.com/wiki/Hypercalc -- and the community there has devised other systems for representing huge numbers with compact notations.
FWIW: A pattern along these lines is in B of A's Quartz, allowing the construction of table filters like "Where('colname') <<inlist>> ['cat', 'dog']".
Hello, see here for an explanation: https://en.wikipedia.org/wiki/Pearson_correlation_coefficien... It's widely understood that the words "correlation" and "uncorrelated", when used in the context of statistics and not…
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To your first point: yeah, some discomfort around it is valid, but I see it as a non-issue. Informally/philosophically, because a model's job is to capture everything a first-order theory can see about your object of…
You can, as long as your first-order statement is in the language of set theory, by translating "there does not exist a bijective function f: N->R".
I love it! Quick idea -- though I'm not sure if this would further the goal of having fun, even as a PR -- there's a documented way to make Birdseed subclass random.Random…
I think you're misunderstanding the example. An anti-derivative of 1/x is ln |x| (very different from |ln x|) when the domain excludes x=0. By the fundamental theorem of calculus, you can use it to integrate over…
Mostly no: we did find some non-halting TMs that required new proofs, but none of those had the flavor of new math, per se. Indeed, we found that all but 30 of them could be proved by finite automata methods, meaning…
As a member of these chats: it's often like hitting on an idea on a break-room blackboard and working it out, except the interaction can be cited. That's a positive change, if we can follow through and add to the…
This program is at least related to what you want: https://googology.fandom.com/wiki/Hypercalc -- and the community there has devised other systems for representing huge numbers with compact notations.
FWIW: A pattern along these lines is in B of A's Quartz, allowing the construction of table filters like "Where('colname') <<inlist>> ['cat', 'dog']".
Hello, see here for an explanation: https://en.wikipedia.org/wiki/Pearson_correlation_coefficien... It's widely understood that the words "correlation" and "uncorrelated", when used in the context of statistics and not…
Display Options, [ ] Rotate globe
To your first point: yeah, some discomfort around it is valid, but I see it as a non-issue. Informally/philosophically, because a model's job is to capture everything a first-order theory can see about your object of…
You can, as long as your first-order statement is in the language of set theory, by translating "there does not exist a bijective function f: N->R".
I love it! Quick idea -- though I'm not sure if this would further the goal of having fun, even as a PR -- there's a documented way to make Birdseed subclass random.Random…
I think you're misunderstanding the example. An anti-derivative of 1/x is ln |x| (very different from |ln x|) when the domain excludes x=0. By the fundamental theorem of calculus, you can use it to integrate over…