Robert Talbert, Ph.D.

MAY 19, 2023

This is especially important if you’re writing an article involving multiple sources, or asking one source to critique the arguments of another: It’s quite likely that they aren’t talking about the same thing. if withholding a mark is possible. Why would an instructor use ungrading? I will speak for myself here.

Publication 73

Publication Communications Construction Academic Standards 73

Stephen Wolfram

SEPTEMBER 9, 2021

Its key idea is to think of things in the world as being constructed from some kind of simple-to-describe elements—say geometrical objects—and then to use something like logical reasoning to work out what will happen with them. It’s not difficult to construct multiway system models. There are multiway Turing machines.

Physics 67

Physics Science Sciences Mathematics 67

Stephen Wolfram

SEPTEMBER 9, 2021

Its key idea is to think of things in the world as being constructed from some kind of simple-to-describe elements—say geometrical objects—and then to use something like logical reasoning to work out what will happen with them. It’s not difficult to construct multiway system models. There are multiway Turing machines.

Science 61

Science Sciences Physics Mathematics 61

Robert Talbert, Ph.D.

APRIL 15, 2022

Those assessments can take on various forms, and in well-constructed courses they do have varying forms, corresponding to different levels of Bloom's Taxonomy. An argument for traditional grading goes like this: Sure, a single assessment might have a grade on it that doesn't accurately reflect student understanding.

Academic Standards 52

Academic Standards Communications Calculus Algebra 52

Stephen Wolfram

MARCH 7, 2022

When most working mathematicians do mathematics it seems to be typical for them to reason as if the constructs they’re dealing with (whether they be numbers or sets or whatever) are “real things”. And we can think of that ultimate machine code as operating on things that are in effect just abstract constructs—very much like in mathematics.

Mathematics 119

Mathematics Physics Computer Algebra 119

Stephen Wolfram

MAY 17, 2021

And for example in 1978 the following “radius 3” rule (operating on size-7 neighborhoods) was constructed (and we’ll call it the “GKL rule”): &#10005. But in the 1980s a complicated cellular automaton was constructed that it was possible to prove would not show such behavior. But it turns out that this isn’t true.

Computer 52

Computer Achievement Mathematics Physics 52

Stephen Wolfram

MAY 20, 2021

Having this as a single function makes it easier to use in functional programming constructs like this: &#10005. But sometimes it’s much more convenient to get the subgraph (and in fact in the formalism of our Physics Project that subgraph—that we view as a “ geodesic ball ”—is a rather central construct). So in Version 12.3

Computer 52

Computer Construction Physics Technology 52

Stephen Wolfram

AUGUST 29, 2024

Even if I hadn’t been able to imagine quite what could be built on them, I’d been able to construct solid foundations, that successfully encapsulated things in the cleanest and simplest ways. In the end—after all sorts of philosophical arguments, and an analysis of actual historical data —the answer was: “It’s Complicated”.

Physics 114

Physics Computer Biology Mathematics 114

Stephen Wolfram

MARCH 5, 2024

A lot of science—and technology—has been constructed specifically around computationally reducible phenomena. In 2000 I was interested in what the simplest possible axiom system for logic (Boolean algebra) might be. Once again, I had no idea this was “out there”, and certainly I would never have been able to construct it myself.

Science 120

Science Sciences Computer Mathematics 120

Futurum

SEPTEMBER 12, 2023

Library and research skills cover areas such as knowing how to reference and cite authors properly, being able to discern between reliable and unreliable sources of information, accessing scientific literature and giving accurate evidence-based arguments when writing scientific essays and reports. What do students learn from studying this?

Biology 81

Biology STEM Chemistry Critical Thinking 81

Stephen Wolfram

DECEMBER 14, 2022

Almost any algebraic computation ends up somehow involving polynomials. can be manipulated as an algebraic number, but with minimal polynomial: &#10005. And all of this makes possible a transformative update to polynomial linear algebra, i.e. operations on matrices whose elements are (univariate) polynomials. &#10005.

Astronomy 77

Astronomy Computer Construction Algebra 77

Stephen Wolfram

AUGUST 22, 2023

He was going for what he saw as the big prize: using them to “construct the universe”. Then McCarthy started to explain ways a computer could do algebra. It was all algebra. And the only conclusion we can arrive at is that a person can’t do this much algebra with the hope of getting it right.” But Ed wasn’t interested.

Computer 70

Computer Physics Sciences Science 70