tylerhou
wind / geothermal has far bigger effects on local environments and fauna vs. “global” energy depletion
The same happens all the time in mathematics.
An absolutely ridiculous statement. There is a vast amount of mathematical knowledge that hasn’t even been written down, much less formalized.
https://www.reddit.com/r/mathematics/comments/1wauync/on_the...
A problem you’re not considering is that data centers, at least ones in current operation, consume mostly potable water, so you can’t compare agricultural use directly to data center usage. Doing some rough math:
Phoenix has about 150 data centers operational or planned. Let’s say 100 of those are operational. The average mid-sized data center uses 1.4 million liters / 0.37 million gallons of water per day for cooling servers. There is an additional 3x burden of water consumed to generate electricity. Let’s assume 70% of the data center water and 20% of the supplemental water consumed is potable [2]. We’re looking at 1.3 * 0.37 = 0.481 million gallons of potable water consumed per data center. So 100 * 365 * 0.481 = 17.5 billion gallons of potable water per year in the Phoenix region. That is a significant and growing fraction of the 110 billion gallons of potable water Phoenix produces per year.
These are using conservative estimates for potable water fraction.
[1] https://www.reuters.com/sustainability/climate-energy/desert...
[2] In 2023, 78% of Google data centers’ water consumption was potable. See “Alternative water sources”, https://www.gstatic.com/gumdrop/sustainability/google-2024-e...
[3] https://www.politico.com/news/2026/05/08/georgia-data-center...
You have a keen and insightful understanding of honesty!
> When we perform risk/benefit analyses of language technology, we must keep in mind how the risks and benefits are distributed, because they do not accrue to the same people. On the one hand, it is well documented in the literature on environmental racism that the negative effects of climate change are reaching and impacting the world’s most marginalized communities first.
Please, please do the least bit of due diligence and understand the discourse before condescending to other people.
[1] https://cnr.ncsu.edu/news/2026/09/data-center-boom-water-res...
See https://claude.ai/share/6431ccd9-f4f8-4052-8996-b046d1ea1f76 for an example that I ran into just now.
For undergrad math, sure, and again, I think it's often because on some random corner of the internet someone else had a very similar misunderstanding. On the other hand, when I ask for clarifications on niche topics that have few examples on the internet LLMs (even Opus 5) often confidently cite irrelevant papers / results or simply hallucinate.
Hauling the pyramid blocks is what gives people intuition and understanding. It is true that school systems usually have way too much computation -- it is easier to test and grade computation. But the only way that you were able to use computer algebra systems fluently is because you had internalized how algebra worked by hand. If we tell students that they no longer need to learn how to solve equations we are seriously depriving them of a mathematical education.
Bill spent a lot of energy fighting commercialization of his work, arguing that it would devalue his characters and their personalities. I don’t know what is cheaper than using an AI model to instantly generate similar art, for free.
For example, 50% of surfers were found to have insufficient vitamin D in one study. https://pubmed.ncbi.nlm.nih.gov/17426097/
There are at least two possible conclusions that you could draw. One conclusion is that we all need vitamin D supplementation regardless of how much sun exposure we receive.
Another conclusion is that we might want to reevaluate what we consider the normal range to be, especially when we are deciding a range for a specific individual.
Functional data structures essentially create a proxy on every write. This can be inefficient if you make writes in batches, and you only need immutability between batches.
https://www.nasa.gov/wp-content/uploads/2015/03/135642main_b...
As someone who tried to learn category theory, and then did a mathematics degree, I think anyone who wants to properly learn category theory would benefit greatly from learning the surrounding mathematics first. The nontrivial examples in category theory come from group theory, ring theory, linear algebra, algebraic topology, etc.
For example, Set/Group/Ring have initial and final objects, but Field does not. Why? Really understanding requires at least some knowledge of ring/field theory.
What is an example of a nontrivial functor? The fundamental group is one. But appreciating the fundamental group requires ~3 semesters of math (analysis, topology, group theory, algebraic topology).
Why are opposite categories useful? They can greatly simplify arguments. For example, in linear algebra, it is easier to show that the row rank and column rank of a matrix are equal by showing that the dual/transpose operator is a functor from the opposite category.
Lifetime analysis is important for register assignment, and SSA can make lifetime analysis easier, but plenty of non-SSA compilers (lower-tier JIT compilers often do not use SSA because SSA is heavyweight) are able to register allocate just fine without it.
1. Removing that statement (dead code elimination)
2. Deduplicating that statement (available expressions)
3. Reordering that statement with other statements (hoisting; loop-invariant code motion)
4. Duplicating that statement (can be useful to enable other optimizations)
All of the above optimizations are very important in compilers, and they are much, much easier to implement if you don't have to worry about preserving side effects while manipulating the program.
So the point of SSA is to translate a program into an equivalent program whose statements have as few side effects as possible. The result is often something that looks like a functional program. (See: https://www.cs.princeton.edu/~appel/papers/ssafun.pdf, which is famous in the compilers community.) In fact, if you view basic blocks themselves as a function, phi nodes "declare" the arguments of the basic block, and branches correspond to tailcalling the next basic block with corresponding values. This has motivated basic block arguments in MLIR.
The "combinatorial circuit" metaphor is slightly wrong, because most SSA implementations do need to consider state for loads and stores into arbitrary memory, or arbitrary function calls. Also, it's not easy to model a loop of arbitrary length as a (finite) combinatorial circuit. Given that the author works at an AI accelerator company, I can see why he leaned towards that metaphor, though.